Details

Time bar (total: 2.5min)

analyze3.4s (2.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
Compiler

Compiled 71 to 47 computations (33.8% saved)

sample20.4s (13.6%)

Results
15.6s5466×body1024valid
2.1s1311×body512valid
1.8s405×body2048valid
847.0ms1074×body256valid
6.0msbody1024invalid
4.0msbody512invalid

preprocess141.0ms (0.1%)

Algorithm
egg-herbie
Rules
661×cancel-sign-sub-inv_binary64
515×sub-neg_binary64
351×distribute-rgt-neg-in_binary64
334×neg-mul-1_binary64
313×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01701101
13931057
29701057
323911057
448071057
575401025
055
155
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
2
3
4
Outputs
0
1
2
1
3
4
3
Call 2
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 lambda1 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(*.f64 lambda2 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(*.f64 phi1 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 phi2 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda1) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2))) (sin.f64 (/.f64 (-.f64 phi2 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda2 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi1) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 lambda2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 phi2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi2 phi1) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 2 (*.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 lambda1 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))))))
(*.f64 lambda1 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))))))))))
(*.f64 2 (*.f64 (atan2.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) lambda1))
(*.f64 2 (*.f64 lambda1 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 R lambda2) 2)) (sin.f64 (/.f64 (-.f64 R lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 lambda2 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))))))
(*.f64 lambda2 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))))))))))
(*.f64 lambda2 (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))))) (*.f64 2 lambda2))
(*.f64 lambda2 (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 R) 2)) (sin.f64 (/.f64 (-.f64 lambda1 R) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 phi1 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 phi1 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 R)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 R)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))))
(*.f64 2 (*.f64 (atan2.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 R)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 R)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) phi1))
(*.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))))) (*.f64 2 phi1))
(*.f64 phi1 (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (cos.f64 R))) (pow.f64 (sin.f64 (/.f64 (-.f64 R phi2) 2)) 2)))))))
(*.f64 phi2 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 phi2 (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 R) 2)) 2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 R) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 2 (*.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 75 to 51 computations (32% saved)

simplify86.0ms (0.1%)

Algorithm
egg-herbie
Rules
698×fma-def_binary64
562×fma-neg_binary64
509×distribute-rgt-neg-in_binary64
371×distribute-lft-neg-in_binary64
321×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027103
15999
212799
329299
471099
5167099
6322299
7490499
8635499
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))) (sqrt.f64 (-.f64 (-.f64 1 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 2 (*.f64 R (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))))))
(*.f64 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2))) (sqrt.f64 (-.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda2 lambda1) 2)))) 1) (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)))) (*.f64 R 2))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))

eval2.0ms (0%)

Compiler

Compiled 133 to 84 computations (36.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
21.9b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Compiler

Compiled 138 to 92 computations (33.3% saved)

localize323.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 395 to 205 computations (48.1% saved)

series41.0ms (0%)

Counts
4 → 120
Calls

30 calls:

TimeVariablePointExpression
5.0ms
lambda2
@-inf
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms
phi2
@inf
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms
lambda1
@inf
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms
phi1
@inf
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms
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)))))

rewrite105.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
435×expm1-udef_binary64
434×log1p-udef_binary64
251×add-sqr-sqrt_binary64
246×pow1_binary64
245×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02177
147967
2679667
Stop Event
node limit
Counts
4 → 100
Calls
Call 1
Inputs
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
(pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (-.f64 phi1 phi2) 1/2) (*.f64 (-.f64 phi1 phi2) 1/2))) (cos.f64 (+.f64 (*.f64 (-.f64 phi1 phi2) 1/2) (*.f64 (-.f64 phi1 phi2) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1))))))

simplify153.0ms (0.1%)

Algorithm
egg-herbie
Rules
618×cancel-sign-sub-inv_binary64
467×associate-+r+_binary64
363×associate--l+_binary64
348×fma-def_binary64
338×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02643784
18903696
231553600
Stop Event
node limit
Counts
220 → 192
Calls
Call 1
Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))) (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) 1) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))) (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
Outputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)) (sin.f64 (*.f64 -1/2 lambda2))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2))) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2)))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1)))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1)))))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 -1/2 lambda2) (*.f64 1/48 (pow.f64 lambda2 3)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 phi1)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 phi1)) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 1/2 phi1) (*.f64 -1/48 (pow.f64 phi1 3)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))
(fma.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 phi2)) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (*.f64 phi2 (*.f64 -1/2 (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (+.f64 (*.f64 (*.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 phi2)) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))))
(fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 -1/2 phi2) (*.f64 (pow.f64 phi2 3) 1/48))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(fma.f64 (neg.f64 (cos.f64 (*.f64 -1/2 phi2))) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1) (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))
(-.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (neg.f64 phi1)) (cos.f64 (*.f64 -1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)) 1) (neg.f64 (*.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (neg.f64 phi1)) (cos.f64 (*.f64 -1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))) (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)) 1) (fma.f64 -1 (*.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 -1/2 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))) (neg.f64 (*.f64 (pow.f64 phi1 3) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) -1/6))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 (fma.f64 -1 (fma.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (pow.f64 phi1 3) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) -1/6)))) 1) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (-.f64 (-.f64 1 (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) (+.f64 (*.f64 -1/6 (pow.f64 phi1 3)) phi1))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(fma.f64 (*.f64 (neg.f64 phi2) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 -1/2 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) (-.f64 (fma.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(-.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))) (*.f64 phi2 (*.f64 phi2 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 -1/2 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (*.f64 (pow.f64 phi2 3) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi1))) 1/6)) (fma.f64 -1 (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (cos.f64 (*.f64 1/2 phi1)) 1/6))) (pow.f64 phi2 3) (fma.f64 (*.f64 (neg.f64 phi2) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 -1/2 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) (-.f64 (fma.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(+.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1))) (*.f64 (*.f64 phi2 phi2) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi1))) -1/6) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 -1/2 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))) (sin.f64 (*.f64 -1/2 lambda2))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 lambda1 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (sin.f64 (*.f64 -1/2 lambda2))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))))) (fma.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 phi1)))) 1)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))))))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))) (sin.f64 (*.f64 -1/2 lambda2))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))))) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) -1/6) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda1 3) (cos.f64 phi1)))) (fma.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 phi1)))) 1))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))))))) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda1 3) (cos.f64 phi1)))))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))) (sin.f64 (*.f64 -1/2 lambda2))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))))))) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (+.f64 (*.f64 lambda1 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 -1/6 (*.f64 (pow.f64 lambda1 3) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) 1) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (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 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.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 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) 1) (neg.f64 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))))) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (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 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(-.f64 (+.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 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) 1) (fma.f64 -1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (neg.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) 1/6) (*.f64 (cos.f64 phi2) (*.f64 (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 (pow.f64 lambda2 3) (cos.f64 phi1)) (*.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)))
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(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)

localize316.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
1.9b
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
Compiler

Compiled 438 to 236 computations (46.1% saved)

series13.0ms (0%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
2.0ms
lambda2
@0
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
2.0ms
lambda1
@0
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
1.0ms
lambda2
@0
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
1.0ms
lambda1
@0
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
1.0ms
lambda1
@inf
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))

rewrite91.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
722×fma-def_binary64
346×fma-neg_binary64
336×expm1-udef_binary64
336×log1p-udef_binary64
273×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01647
135347
2506147
Stop Event
node limit
Counts
4 → 83
Calls
Call 1
Inputs
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 lambda1 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda2) -1/2))) (*.f64 (cos.f64 (*.f64 lambda1 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 -1/2 (neg.f64 lambda2)))) (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 -1/2 (neg.f64 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 (neg.f64 lambda1)))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 -1/2 (neg.f64 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 (neg.f64 phi1)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 (neg.f64 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) 2) (/.f64 (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)) (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 1))))))

simplify1.1s (0.7%)

Algorithm
egg-herbie
Rules
760×distribute-rgt-in_binary64
661×associate-*l*_binary64
598×associate-*r*_binary64
474×distribute-rgt-out_binary64
396×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01831802
15661722
216281688
353411624
Stop Event
node limit
Counts
155 → 155
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 -1/2 lambda1)))) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 -1/2 lambda1)))) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1))))) lambda2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1))) (+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1))))) lambda2)))
(+.f64 (*.f64 (pow.f64 lambda2 3) (+.f64 (*.f64 -1/16 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))) (+.f64 (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/16 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1))) (+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1))))) lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2)))) (*.f64 -1/16 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))))) (pow.f64 lambda1 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
Outputs
(sin.f64 (*.f64 1/2 lambda2))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)) (sin.f64 (*.f64 1/2 lambda2)))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (sin.f64 (*.f64 1/2 lambda2)))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (sin.f64 (*.f64 1/2 lambda2))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 lambda1 lambda1))))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)) (sin.f64 (*.f64 1/2 lambda2))))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 1/2 lambda2))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (sin.f64 (*.f64 1/2 lambda2))) (fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (pow.f64 lambda1 3)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (sin.f64 (*.f64 1/2 lambda2))) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) 1/48))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 1/2 lambda2)))) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (*.f64 1/48 (pow.f64 lambda1 3))))
(+.f64 (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 1/2 lambda2))) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 -1/2 lambda1) (*.f64 1/48 (pow.f64 lambda1 3)))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 lambda1))
(+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))
(fma.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))) (sin.f64 (*.f64 -1/2 lambda1)))
(fma.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 -1/2 lambda1)))
(+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 -1/2 lambda1)))) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 lambda2 lambda2)) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1))))))
(+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) 1/2)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1))))
(+.f64 (*.f64 (*.f64 1/2 lambda2) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 -1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 -1/2 lambda1)))) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (*.f64 -1/2 lambda1)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 lambda2 lambda2)) (*.f64 1/2 (*.f64 lambda2 (cos.f64 (*.f64 -1/2 lambda1)))))))
(fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) 1/2)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 -1/2 lambda1)))))
(+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 1/2 lambda2) (*.f64 -1/48 (pow.f64 lambda2 3)))))
(+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 lambda2 (+.f64 1/2 (*.f64 (*.f64 lambda2 lambda2) -1/48)))))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 -1/8 (*.f64 (*.f64 lambda2 lambda2) (sin.f64 (*.f64 1/2 lambda1)))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1)))))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (fma.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (*.f64 lambda2 lambda2) (sin.f64 (*.f64 1/2 lambda1)))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 lambda2 -1/2) (*.f64 1/48 (pow.f64 lambda2 3)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 lambda2 -1/2) (*.f64 1/48 (pow.f64 lambda2 3)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))) (*.f64 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (+.f64 (*.f64 1/48 (*.f64 lambda2 lambda2)) -1/2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 lambda2))
(sin.f64 (*.f64 lambda2 -1/2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))
(fma.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (sin.f64 (*.f64 lambda2 -1/2)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (sin.f64 (*.f64 lambda2 -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 -1/8 (*.f64 (*.f64 lambda1 lambda1) (sin.f64 (*.f64 lambda2 -1/2)))))
(fma.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (fma.f64 -1/8 (*.f64 (*.f64 lambda1 lambda1) (sin.f64 (*.f64 lambda2 -1/2))) (sin.f64 (*.f64 lambda2 -1/2))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 lambda2 -1/2))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (fma.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (sin.f64 (*.f64 lambda2 -1/2))) (fma.f64 -1/48 (*.f64 (pow.f64 lambda1 3) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 -1/8 (*.f64 (*.f64 lambda1 lambda1) (sin.f64 (*.f64 lambda2 -1/2))))))
(+.f64 (fma.f64 1/2 (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (sin.f64 (*.f64 lambda2 -1/2))) (fma.f64 -1/8 (*.f64 (*.f64 lambda1 lambda1) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (pow.f64 lambda1 3) (*.f64 -1/48 (cos.f64 (*.f64 lambda2 -1/2))))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 lambda2 -1/2)))) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))
(+.f64 (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 1/2 lambda1) (*.f64 (pow.f64 lambda1 3) -1/48))))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2) (sin.f64 (*.f64 1/2 phi1)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 phi2)) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)) (*.f64 (sin.f64 (*.f64 1/2 phi1)) (+.f64 1 (*.f64 -1/8 (*.f64 phi2 phi2)))))
(+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 phi2)) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi2 phi2)) 1) (sin.f64 (*.f64 1/2 phi1)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (+.f64 1 (*.f64 -1/8 (*.f64 phi2 phi2)))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 -1/2 phi2) (*.f64 1/48 (pow.f64 phi2 3)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (+.f64 1 (*.f64 -1/8 (*.f64 phi2 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2) (+.f64 -1/2 (*.f64 (*.f64 phi2 phi2) 1/48))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 1/2 (*.f64 phi1 (cos.f64 (*.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 phi1)) (fma.f64 1/2 (*.f64 phi1 (cos.f64 (*.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (*.f64 phi1 (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))) (fma.f64 1/2 (*.f64 phi1 (cos.f64 (*.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 (*.f64 1/2 phi1) (cos.f64 (*.f64 -1/2 phi2))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 phi1)) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (*.f64 phi1 (cos.f64 (*.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 -1/8 (*.f64 phi1 (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (*.f64 phi1 (cos.f64 (*.f64 -1/2 phi2))) (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 1/2 phi1) (*.f64 -1/48 (pow.f64 phi1 3)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2))))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (fma.f64 -1 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))
(*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1))))) lambda2))
(fma.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 lambda2 (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))))))
(fma.f64 lambda2 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/2))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 lambda2 (fma.f64 (*.f64 -1/2 (sin.f64 (*.f64 -1/2 lambda1))) (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda1))))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 -1/2 (sin.f64 (*.f64 -1/2 lambda1))) (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda1))))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1))) (+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1))))) lambda2)))
(fma.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)) (fma.f64 (*.f64 lambda2 lambda2) (*.f64 -1/4 (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 lambda2 (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))))))))
(fma.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 lambda2 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/2))) (*.f64 (*.f64 (*.f64 lambda2 lambda2) -1/4) (fma.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(+.f64 (*.f64 (+.f64 (*.f64 lambda2 (*.f64 lambda2 -1/4)) 1) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 lambda2 (+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/4))) (fma.f64 (*.f64 -1/2 (sin.f64 (*.f64 -1/2 lambda1))) (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda1))))))))
(+.f64 (*.f64 (+.f64 (*.f64 lambda2 (*.f64 lambda2 -1/4)) 1) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 lambda2 (+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/4))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 -1/2 (sin.f64 (*.f64 -1/2 lambda1))) (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda1))))))))
(+.f64 (*.f64 (pow.f64 lambda2 3) (+.f64 (*.f64 -1/16 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))) (+.f64 (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/16 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1))) (+.f64 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1)))))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 -1/2 lambda1))))) lambda2))))
(fma.f64 (pow.f64 lambda2 3) (fma.f64 -1/16 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) 1/12))) (fma.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)) (fma.f64 (*.f64 lambda2 lambda2) (*.f64 -1/4 (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 lambda2 (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))))))))
(fma.f64 (pow.f64 lambda2 3) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) 1/12)) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) -1/12)) (fma.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 lambda2 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/2))) (*.f64 (*.f64 (*.f64 lambda2 lambda2) -1/4) (fma.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 -1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))))
(fma.f64 (pow.f64 lambda2 3) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) 1/12)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) -1/12))) (+.f64 (*.f64 (+.f64 (*.f64 lambda2 (*.f64 lambda2 -1/4)) 1) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 lambda2 (+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/4))) (fma.f64 (*.f64 -1/2 (sin.f64 (*.f64 -1/2 lambda1))) (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda1)))))))))
(fma.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) 1/12) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) -1/12))) (+.f64 (*.f64 (+.f64 (*.f64 lambda2 (*.f64 lambda2 -1/4)) 1) (*.f64 (sin.f64 (*.f64 -1/2 lambda1)) (sin.f64 (*.f64 1/2 lambda1)))) (*.f64 lambda2 (+.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) -1/4))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 -1/2 (sin.f64 (*.f64 -1/2 lambda1))) (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda1)))))))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2)))
(*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))
(fma.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2))))) lambda1 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))
(fma.f64 lambda1 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 1/2 (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))
(fma.f64 lambda1 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))
(fma.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (+.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda2))) (*.f64 -1/2 (sin.f64 (*.f64 lambda2 -1/2))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2)))))
(fma.f64 (*.f64 -1/4 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (*.f64 lambda1 lambda1) (fma.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2))))) lambda1 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))))
(fma.f64 (*.f64 lambda1 lambda1) (*.f64 -1/4 (fma.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (fma.f64 lambda1 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 1/2 (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))))
(fma.f64 (*.f64 lambda1 lambda1) (*.f64 -1/4 (fma.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (fma.f64 lambda1 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))))
(fma.f64 (*.f64 lambda1 lambda1) (*.f64 -1/4 (fma.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (fma.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (+.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda2))) (*.f64 -1/2 (sin.f64 (*.f64 lambda2 -1/2)))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/16 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2)))) (*.f64 -1/16 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))))) (pow.f64 lambda1 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) (pow.f64 lambda1 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (sin.f64 (*.f64 1/2 lambda2))))))
(fma.f64 (fma.f64 1/16 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2))) -1/12))) (pow.f64 lambda1 3) (fma.f64 (*.f64 -1/4 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (*.f64 lambda1 lambda1) (fma.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2))))) lambda1 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))))
(fma.f64 (pow.f64 lambda1 3) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) -1/12)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) 1/12)) (fma.f64 (*.f64 lambda1 lambda1) (*.f64 -1/4 (fma.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (fma.f64 lambda1 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 1/2 (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))))
(fma.f64 (pow.f64 lambda1 3) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) -1/12)) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) 1/12))) (fma.f64 (*.f64 lambda1 lambda1) (*.f64 -1/4 (fma.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (fma.f64 lambda1 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2))))) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 lambda1 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda2))) (*.f64 -1/2 (sin.f64 (*.f64 lambda2 -1/2))))) (*.f64 lambda1 (+.f64 (*.f64 -1/4 (fma.f64 (cos.f64 (*.f64 1/2 lambda2)) (cos.f64 (*.f64 1/2 lambda2)) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2))))) (*.f64 lambda1 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda2)) -1/12) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) 1/12)))))))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))))

eval1.7s (1.1%)

Compiler

Compiled 48347 to 29085 computations (39.8% saved)

prune761.0ms (0.5%)

Pruning

87 alts after pruning (87 fresh and 0 done)

PrunedKeptTotal
New56587652
Fresh000
Picked101
Done101
Total56787654
Error
20.6b
Counts
654 → 87
Alt Table
Click to see full alt table
StatusErrorProgram
45.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))))))
49.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
48.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (+.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda2))) (*.f64 -1/2 (sin.f64 (*.f64 lambda2 -1/2))))))) 1))))))
22.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (neg.f64 phi1)) (cos.f64 (*.f64 -1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
33.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
45.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))) 1))))))
37.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
22.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
39.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 3)) (+.f64 1 (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
35.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
39.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.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)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
32.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
21.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
36.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
36.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
35.0b
(*.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 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
48.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2))) 1))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (+.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (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)))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
39.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
44.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
48.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1))))) 1))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.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)))))))
22.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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)))))))))
22.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 3)) 1))))))
39.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 -1/2 phi2) (*.f64 (pow.f64 phi2 3) 1/48)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 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)))))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
42.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
22.4b
(*.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)))))))))
35.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)) (+.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))))))))
35.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
46.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
23.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))) 1))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))))) 2)) 1))))))
42.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))))))))
31.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
22.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
35.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
46.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
36.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (neg.f64 phi1)) (cos.f64 (*.f64 -1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
Compiler

Compiled 13062 to 9014 computations (31% saved)

localize292.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 582 to 354 computations (39.2% saved)

series24.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
lambda1
@0
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms
phi2
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.0ms
lambda1
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms
phi1
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.0ms
lambda2
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite73.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
326×add-sqr-sqrt_binary64
320×pow1_binary64
319×*-un-lft-identity_binary64
302×add-log-exp_binary64
302×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028101
162849
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2)
Outputs
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phi1 phi2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) 1))))))

simplify142.0ms (0.1%)

Algorithm
egg-herbie
Rules
614×cancel-sign-sub-inv_binary64
350×associate-+r+_binary64
345×associate--l+_binary64
324×neg-sub0_binary64
324×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02084232
17114173
225784110
377724110
Stop Event
node limit
Counts
136 → 117
Calls
Call 1
Inputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) 1) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)
(+.f64 (*.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (+.f64 (*.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (+.f64 (*.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))))
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
Outputs
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1) (neg.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (*.f64 phi1 phi1)))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (-.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/2 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (*.f64 phi1 phi1))) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(-.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/2 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (*.f64 phi1 phi1)))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (pow.f64 phi1 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 phi1 3)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1) (fma.f64 -1 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (*.f64 phi1 phi1)) (neg.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1/6) (pow.f64 phi1 3))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) (fma.f64 -1 (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/2 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (*.f64 phi1 phi1) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 1/6 (pow.f64 phi1 3)))) 1)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(+.f64 (*.f64 (*.f64 phi1 phi1) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) -1/6) phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) -1/2 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))))) (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 1 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (fma.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) 1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) 1) (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 -1/2 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(fma.f64 (*.f64 phi2 (neg.f64 phi2)) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 -1/2 (cos.f64 phi1))))) (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi1))) 1/6) (pow.f64 phi2 3)) (fma.f64 -1 (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))) (+.f64 1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(-.f64 (-.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) 1) (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 -1/2 (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi1))) (*.f64 1/6 (pow.f64 phi2 3)))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (*.f64 (*.f64 phi2 phi2) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi1))) -1/6) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 -1/2 (cos.f64 phi1))))))))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 1 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) 1) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))))) 1) (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2)))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))) (sin.f64 (*.f64 lambda2 -1/2)))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1)) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))))) (fma.f64 -1 (*.f64 (*.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1))) 1)) (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 (-.f64 1 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2)))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (cos.f64 phi1) (*.f64 (*.f64 lambda1 lambda1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) lambda1))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))))) 1))) (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))))) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) -1/6) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (fma.f64 -1 (*.f64 (*.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1))) 1))) (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(-.f64 (-.f64 (-.f64 (-.f64 1 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1)) (cos.f64 phi2)))) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))))) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2)))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (-.f64 (-.f64 1 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 (*.f64 lambda1 (*.f64 lambda1 (cos.f64 phi1))) (cos.f64 phi2)))) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 -1/6 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
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(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
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(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
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(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) 1) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) 1) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2))
(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (fma.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) 1) (neg.f64 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))))) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (-.f64 (fma.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) 1) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 lambda2 lambda2)))) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
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(-.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 3) (cos.f64 phi1)))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (+.f64 (fma.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) 1) (fma.f64 -1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (neg.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) 1/6) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda2 3))))))) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (fma.f64 -1 (fma.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (pow.f64 lambda2 3)) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) 1/6))))) 1)) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
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(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)
(+.f64 (*.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(fma.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))
(-.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 (cos.f64 (*.f64 1/2 phi2)) phi1)))
(*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2)))))
(+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (+.f64 (*.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(fma.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) (fma.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)))
(fma.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 (cos.f64 (*.f64 1/2 phi2)) phi1))))
(fma.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))) (+.f64 (*.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))))
(fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1/6) (pow.f64 phi1 3) (fma.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) (fma.f64 -1 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 (cos.f64 (*.f64 1/2 phi2)) 1/6)) (pow.f64 phi1 3) (fma.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 (cos.f64 (*.f64 1/2 phi2)) phi1)))))
(fma.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (*.f64 (sin.f64 (*.f64 1/2 phi2)) 1/6)) (pow.f64 phi1 3) (fma.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2)))))))
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (neg.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(-.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))
(*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (*.f64 phi2 phi2) (neg.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (-.f64 (*.f64 (*.f64 phi2 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)))) (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 phi2 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi1))) 1/6) (pow.f64 phi2 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (*.f64 phi2 phi2) (neg.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (-.f64 (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 (cos.f64 (*.f64 1/2 phi1)) 1/6)) (pow.f64 phi2 3) (*.f64 (*.f64 phi2 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2))))) (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 phi2 phi2) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 (sin.f64 (*.f64 1/2 phi1)) 1/6)) phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))))
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)
(pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)

localize193.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
1.9b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 381 to 212 computations (44.4% saved)

series21.0ms (0%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
8.0ms
lambda2
@0
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
2.0ms
phi2
@0
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
2.0ms
lambda2
@-inf
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
2.0ms
lambda2
@inf
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
2.0ms
phi2
@inf
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))

rewrite145.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
804×log-prod_binary64
437×fma-def_binary64
302×expm1-udef_binary64
302×log1p-udef_binary64
252×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01628
134728
2444528
Stop Event
node limit
Counts
1 → 104
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (fma.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 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((x *.f64 (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 6) (pow.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 4) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 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(*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 4) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (cos.f64 (*.f64 -1/2 phi2)))) (sqrt.f64 (cos.f64 (*.f64 -1/2 phi2))) (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (cos.f64 (*.f64 -1/2 phi2)))) (sqrt.f64 (cos.f64 (*.f64 -1/2 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (cbrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (cbrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (cos.f64 phi2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (-.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (fma.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (-.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (-.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (cos.f64 phi2)))) (fma.f64 (neg.f64 (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4) (pow.f64 (cos.f64 phi2) 2)))) (cbrt.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (cos.f64 phi2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (cos.f64 phi2)) 1) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (cos.f64 phi2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (cbrt.f64 (cos.f64 (*.f64 -1/2 phi2))) (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (cbrt.f64 (cos.f64 (*.f64 -1/2 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1))))))

simplify189.0ms (0.1%)

Algorithm
egg-herbie
Rules
912×fma-def_binary64
696×associate-*l*_binary64
647×associate-*r*_binary64
387×sub-neg_binary64
253×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01301012
1416969
21404920
37011915
Stop Event
node limit
Counts
124 → 129
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 1/48 (*.f64 1/24 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 phi2 4)) (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1/1440) (pow.f64 phi2 6))) (+.f64 1 (+.f64 (*.f64 (-.f64 1/48 (*.f64 1/24 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 phi2 4)) (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3)))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) lambda1)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) lambda1)))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) lambda1)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2))))))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
Outputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(+.f64 1 (-.f64 (neg.f64 (*.f64 (*.f64 phi2 phi2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (-.f64 1 (*.f64 phi2 (*.f64 phi2 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (*.f64 phi2 (neg.f64 phi2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 1/48 (*.f64 1/24 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 phi2 4)) (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(+.f64 1 (-.f64 (fma.f64 (+.f64 1/48 (*.f64 -1/24 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 phi2 4) (neg.f64 (*.f64 (*.f64 phi2 phi2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(+.f64 1 (-.f64 (fma.f64 (+.f64 1/48 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24)) (pow.f64 phi2 4) (*.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (neg.f64 (*.f64 phi2 phi2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (*.f64 phi2 (neg.f64 phi2)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24 1/48) (pow.f64 phi2 4) 1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1/1440) (pow.f64 phi2 6))) (+.f64 1 (+.f64 (*.f64 (-.f64 1/48 (*.f64 1/24 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 phi2 4)) (*.f64 -1 (*.f64 (pow.f64 phi2 2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(-.f64 (fma.f64 -1 (*.f64 (fma.f64 -1/720 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/1440) (pow.f64 phi2 6)) (+.f64 1 (fma.f64 (+.f64 1/48 (*.f64 -1/24 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (pow.f64 phi2 4) (neg.f64 (*.f64 (*.f64 phi2 phi2) (+.f64 1/4 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
(+.f64 (fma.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/720 1/1440)) (pow.f64 phi2 6) 1) (-.f64 (fma.f64 (+.f64 1/48 (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24)) (pow.f64 phi2 4) (*.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (neg.f64 (*.f64 phi2 phi2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1/4) (*.f64 phi2 (neg.f64 phi2)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/24 1/48) (pow.f64 phi2 4) 1)) (+.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) -1/720 1/1440) (pow.f64 phi2 6)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))
(fma.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (-.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2))))
(+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2)))) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2))))
(fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (-.f64 (*.f64 lambda2 (cos.f64 (*.f64 lambda1 1/2))) (sin.f64 (*.f64 lambda1 1/2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (+.f64 (*.f64 lambda2 (cos.f64 (*.f64 lambda1 1/2))) (sin.f64 (*.f64 -1/2 lambda1)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2))))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))
(fma.f64 (*.f64 (neg.f64 lambda2) lambda2) (*.f64 (cos.f64 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) -1/4))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2)))) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))))
(fma.f64 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 phi2))) (neg.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) -1/4))) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (-.f64 (*.f64 lambda2 (cos.f64 (*.f64 lambda1 1/2))) (sin.f64 (*.f64 lambda1 1/2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(fma.f64 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 phi2))) (neg.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) -1/4))) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (+.f64 (*.f64 lambda2 (cos.f64 (*.f64 lambda1 1/2))) (sin.f64 (*.f64 -1/2 lambda1)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3)))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (fma.f64 -1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2))))) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2))) 1/6) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2)))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))
(fma.f64 (*.f64 (neg.f64 lambda2) lambda2) (*.f64 (cos.f64 phi2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) -1/4))) (+.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) 1/6))) (*.f64 (cos.f64 phi2) (pow.f64 lambda2 3)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda1 1/2)))) (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2)))))
(fma.f64 -1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (*.f64 lambda2 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) -1/4)))) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (*.f64 (*.f64 (cos.f64 (*.f64 lambda1 1/2)) 1/6) (pow.f64 lambda2 3))))) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (-.f64 (*.f64 lambda2 (cos.f64 (*.f64 lambda1 1/2))) (sin.f64 (*.f64 lambda1 1/2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))
(-.f64 (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (+.f64 (*.f64 lambda2 (cos.f64 (*.f64 lambda1 1/2))) (sin.f64 (*.f64 -1/2 lambda1)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda2 (*.f64 lambda2 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda1 1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda1 1/2)) 2) -1/4)))) (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (*.f64 (*.f64 (cos.f64 (*.f64 lambda1 1/2)) 1/6) (pow.f64 lambda2 3))))))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) lambda1)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 (cos.f64 phi2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(-.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (cos.f64 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (-.f64 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 (neg.f64 (cos.f64 phi2)))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 lambda2))))))
(-.f64 (fma.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (*.f64 lambda2 1/2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) lambda1)))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 (cos.f64 phi2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (neg.f64 (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 lambda1))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(-.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (cos.f64 phi2)))) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 lambda1)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(+.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 lambda1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))))) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 (neg.f64 lambda1))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(+.f64 (fma.f64 (*.f64 (cos.f64 phi2) (*.f64 lambda1 (cos.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (*.f64 lambda2 1/2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 (neg.f64 lambda1))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) lambda1)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3)))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 -1 (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2))))))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 (cos.f64 phi2)))) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) -1/6) (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3))) (+.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (neg.f64 (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 lambda1))))))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(-.f64 (-.f64 (-.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 lambda1)))) (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda1 3) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) -1/6))))) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (cos.f64 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)))
(+.f64 (fma.f64 -1 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (+.f64 (*.f64 lambda1 (cos.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) -1/6))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 (neg.f64 lambda1))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(+.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (+.f64 (*.f64 lambda1 (cos.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 lambda1 3)) -1/6)))) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (*.f64 lambda1 (neg.f64 lambda1))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2)))
(-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))

localize229.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.9b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
1.9b
(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.7b
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
Compiler

Compiled 458 to 242 computations (47.2% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite122.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
480×prod-diff_binary64
434×log-prod_binary64
335×exp-prod_binary64
260×pow2_binary64
255×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
121421
2263821
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6))
(sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (-.f64 phi1 phi2) 1/2) (*.f64 (-.f64 phi1 phi2) 1/2))) (cos.f64 (-.f64 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 12) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (sqrt.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 (neg.f64 phi2) 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 (neg.f64 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 (neg.f64 phi2)))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 (neg.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2)) (cbrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) (sqrt.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 1/3))))))

simplify117.0ms (0.1%)

Algorithm
egg-herbie
Rules
631×associate-+l+_binary64
604×fma-def_binary64
387×distribute-lft-out_binary64
375×associate-+r+_binary64
366×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
096910
1286895
2822839
33441828
47808828
Stop Event
node limit
Counts
134 → 124
Calls
Call 1
Inputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))) (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 phi1))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
Outputs
(pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2))))
(*.f64 (sin.f64 (*.f64 -1/2 phi2)) (+.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)))
(*.f64 (sin.f64 (*.f64 -1/2 phi2)) (fma.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1 (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (+.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))
(fma.f64 (sin.f64 (*.f64 -1/2 phi2)) (fma.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1 (sin.f64 (*.f64 -1/2 phi2))) (*.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))
(fma.f64 (sin.f64 (*.f64 -1/2 phi2)) (fma.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1 (sin.f64 (*.f64 -1/2 phi2))) (*.f64 (*.f64 phi1 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))) (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))))) (pow.f64 phi1 3)) (+.f64 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) -1/6) (pow.f64 phi1 3) (fma.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2))))))
(+.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) -1/6)) (pow.f64 phi1 3) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (+.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) (+.f64 phi1 (*.f64 (pow.f64 phi1 3) -1/6)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (*.f64 phi1 phi1) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4)) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (cos.f64 (*.f64 -1/2 phi2))) (+.f64 phi1 (*.f64 (pow.f64 phi1 3) -1/6)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)
(pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (neg.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))
(-.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 phi2 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2)))))
(*.f64 (sin.f64 (*.f64 phi1 1/2)) (-.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))) (*.f64 phi2 phi2) (neg.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (sin.f64 (*.f64 phi1 1/2)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (-.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2))) (*.f64 phi2 phi2)) (*.f64 phi2 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))))))
(fma.f64 phi2 (*.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2)))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (-.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (pow.f64 phi2 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (pow.f64 phi2 2)) (*.f64 -1 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))) 1/6) (pow.f64 phi2 3) (fma.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2))) (*.f64 phi2 phi2) (neg.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (sin.f64 (*.f64 phi1 1/2))))))))
(+.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (*.f64 (sin.f64 (*.f64 phi1 1/2)) 1/6)) (pow.f64 phi2 3) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2))) (*.f64 phi2 phi2))) (-.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 phi2 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))))))
(fma.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))) (*.f64 (pow.f64 phi2 3) 1/6) (fma.f64 phi2 (*.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2)))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (-.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (fma.f64 phi2 (*.f64 phi2 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 phi1 1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 phi1 1/2)) 2)))) (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi1 1/2))) (-.f64 (*.f64 (pow.f64 phi2 3) 1/6) phi2))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2)
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)
(pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)
(sin.f64 (*.f64 -1/2 phi2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))
(fma.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 1/2) (sin.f64 (*.f64 -1/2 phi2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 phi1)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 1/2) (*.f64 (+.f64 (*.f64 phi1 (*.f64 phi1 -1/8)) 1) (sin.f64 (*.f64 -1/2 phi2))))
(fma.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 1/2) (*.f64 (+.f64 1 (*.f64 phi1 (*.f64 phi1 -1/8))) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi1 2) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2)))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 phi1)) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1) (sin.f64 (*.f64 -1/2 phi2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 phi1 1/2) (*.f64 (pow.f64 phi1 3) -1/48))) (*.f64 (+.f64 (*.f64 phi1 (*.f64 phi1 -1/8)) 1) (sin.f64 (*.f64 -1/2 phi2))))
(+.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 phi1 1/2) (*.f64 (pow.f64 phi1 3) -1/48))) (*.f64 (+.f64 1 (*.f64 phi1 (*.f64 phi1 -1/8))) (sin.f64 (*.f64 -1/2 phi2))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 phi1))
(sin.f64 (*.f64 phi1 1/2))
(+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))
(+.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))))
(fma.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2))) (sin.f64 (*.f64 phi1 1/2)))
(fma.f64 (*.f64 -1/2 phi2) (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi1 1/2)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 phi2)) (+.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2))))))
(+.f64 (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi2 phi2)) 1) (sin.f64 (*.f64 phi1 1/2))))
(fma.f64 (*.f64 -1/2 phi2) (cos.f64 (*.f64 phi1 1/2)) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (fma.f64 -1/8 (*.f64 phi2 phi2) 1)))
(+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 phi2 2) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2)))))
(fma.f64 1/48 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (pow.f64 phi2 3)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 phi2)) (+.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))))))
(fma.f64 1/48 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (pow.f64 phi2 3)) (+.f64 (*.f64 -1/2 (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi2 phi2)) 1) (sin.f64 (*.f64 phi1 1/2)))))
(fma.f64 (fma.f64 -1/8 (*.f64 phi2 phi2) 1) (sin.f64 (*.f64 phi1 1/2)) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (+.f64 (*.f64 -1/2 phi2) (*.f64 (pow.f64 phi2 3) 1/48))))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1)))
(sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))

localize368.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
1.9b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.5b
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 495 to 260 computations (47.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
lambda1
@0
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms
lambda2
@0
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms
lambda1
@-inf
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms
lambda1
@inf
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
0.0ms
lambda2
@inf
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))

rewrite57.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
798×pow1_binary64
741×add-log-exp_binary64
741×log1p-expm1-u_binary64
741×expm1-log1p-u_binary64
726×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11509
219579
Stop Event
node limit
Counts
1 → 16
Calls
Call 1
Inputs
(sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))))

simplify77.0ms (0.1%)

Algorithm
egg-herbie
Rules
876×fma-def_binary64
512×associate-*l*_binary64
450×unswap-sqr_binary64
395×associate-*r*_binary64
338×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055362
1150346
2363330
31077320
43608320
57078320
Stop Event
node limit
Counts
40 → 34
Calls
Call 1
Inputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1)))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
Outputs
(sin.f64 (*.f64 -1/2 lambda2))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2)))
(fma.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 lambda1) (sin.f64 (*.f64 -1/2 lambda2)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)) (sin.f64 (*.f64 -1/2 lambda2))))
(fma.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 -1/2 lambda2))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (fma.f64 lambda1 (*.f64 lambda1 -1/8) 1)))
(fma.f64 (sin.f64 (*.f64 -1/2 lambda2)) (fma.f64 lambda1 (*.f64 lambda1 -1/8) 1) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (+.f64 (sin.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 2))))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2))) (fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (pow.f64 lambda1 3)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (sin.f64 (*.f64 -1/2 lambda2))) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 lambda1)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48))))
(fma.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 1/2 lambda1) (fma.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 -1/48 (pow.f64 lambda1 3)) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 -1/2 lambda2)))))
(fma.f64 (fma.f64 lambda1 (*.f64 lambda1 -1/8) 1) (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (+.f64 (*.f64 -1/48 (pow.f64 lambda1 3)) (*.f64 1/2 lambda1))))
(fma.f64 (fma.f64 lambda1 (*.f64 lambda1 -1/8) 1) (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 lambda1 (+.f64 1/2 (*.f64 lambda1 (*.f64 lambda1 -1/48))))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 lambda1))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1))))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1)))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 -1/8 (*.f64 lambda2 lambda2) 1)))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 lambda2 (*.f64 lambda2 -1/8) 1)))
(+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 lambda2 3) (cos.f64 (*.f64 1/2 lambda1)))) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 -1/8 (*.f64 (pow.f64 lambda2 2) (sin.f64 (*.f64 1/2 lambda1)))))))
(fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (pow.f64 lambda2 3)) (+.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) (sin.f64 (*.f64 1/2 lambda1))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 -1/2 lambda2) (*.f64 1/48 (pow.f64 lambda2 3)))))
(fma.f64 (cos.f64 (*.f64 1/2 lambda1)) (fma.f64 -1/2 lambda2 (*.f64 1/48 (pow.f64 lambda2 3))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 -1/8 (*.f64 lambda2 lambda2) 1)))
(fma.f64 (cos.f64 (*.f64 1/2 lambda1)) (fma.f64 -1/2 lambda2 (*.f64 1/48 (pow.f64 lambda2 3))) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 lambda2 (*.f64 lambda2 -1/8) 1)))
(fma.f64 (sin.f64 (*.f64 1/2 lambda1)) (fma.f64 lambda2 (*.f64 lambda2 -1/8) 1) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (fma.f64 -1/2 lambda2 (*.f64 1/48 (pow.f64 lambda2 3)))))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1)))
(sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2)))
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))

localize339.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 605 to 361 computations (40.3% saved)

eval2.9s (1.9%)

Compiler

Compiled 121710 to 75772 computations (37.7% saved)

prune1.3s (0.8%)

Pruning

125 alts after pruning (125 fresh and 0 done)

PrunedKeptTotal
New1460851545
Fresh424082
Picked101
Done404
Total15071251632
Error
12.3b
Counts
1632 → 125
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) 2)))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
42.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))))))
45.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
39.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
35.0b
(*.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 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
45.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))) 1))))))
22.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.1b
(*.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)))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
31.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
39.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 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)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 6) (pow.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)) (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 4)))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.7b
(*.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 (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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (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 (*.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)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 phi2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.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)))))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
31.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
35.0b
(*.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 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
36.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (-.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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 (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)))))))
35.4b
(*.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 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)))))))))
21.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
33.0b
(*.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 (*.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)))))))
48.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2))) 1))))))
22.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
22.0b
(*.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 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 (sin.f64 (*.f64 1/2 phi2)))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
32.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 1/2 phi1) (*.f64 -1/48 (pow.f64 phi1 3)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
35.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
38.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 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)))))))
39.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
37.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2)))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
48.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1))))) 1))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.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)))))))
33.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.2b
(*.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)))))))
33.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 3)) 1))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
40.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
23.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/9) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.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)))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2))) 2)))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
24.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
53.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) 2)))))
33.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
31.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
40.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 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)))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
33.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
46.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 lambda2 -1/2)))) 2)))))))
31.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) 2)))))))
42.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -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 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
35.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))) 1))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
42.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
22.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 (neg.f64 phi2) 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 (neg.f64 phi2) 1/2)))) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (cbrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (cbrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))
31.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (/.f64 (-.f64 (cos.f64 (*.f64 -1/2 (-.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2)))) (cos.f64 (*.f64 -1/2 (+.f64 (-.f64 lambda2 lambda1) (-.f64 lambda1 lambda2))))) 2)) 1))))))
53.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
38.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
22.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
22.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
29.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 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)))))))))
22.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
41.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))
31.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
40.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
34.7b
(*.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)) (-.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)))))))))
Compiler

Compiled 18580 to 13266 computations (28.6% saved)

localize572.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
0.4b
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2)
0.6b
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 584 to 377 computations (35.4% saved)

series9.0ms (0%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
lambda2
@0
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms
phi1
@0
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms
phi2
@0
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
1.0ms
lambda1
@0
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
0.0ms
phi1
@inf
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))

rewrite90.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
785×log-prod_binary64
758×prod-diff_binary64
340×fma-def_binary64
287×expm1-udef_binary64
287×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01430
130622
2412422
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 (+.f64 phi1 phi2)) (cos.f64 (-.f64 phi1 phi2))) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3) (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 1))))))

simplify99.0ms (0.1%)

Algorithm
egg-herbie
Rules
890×fma-neg_binary64
873×fma-def_binary64
651×associate-+l+_binary64
525×associate-+r+_binary64
454×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01301695
13991631
213221502
338041468
473571468
Stop Event
node limit
Counts
67 → 54
Calls
Call 1
Inputs
(*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 phi1 6) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2))))))
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 6)))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(+.f64 (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
Outputs
(*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 phi1 phi1)) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) 1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 -1/2 (*.f64 phi1 phi1) 1))
(*.f64 (cos.f64 phi2) (*.f64 (fma.f64 -1/2 (*.f64 phi1 phi1) 1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 phi1 phi1)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 1/24 (*.f64 (*.f64 (pow.f64 phi1 4) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(fma.f64 -1/2 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 phi1 phi1))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) 1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) (fma.f64 -1/2 (*.f64 phi1 phi1) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 phi1 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 phi1 6) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))) (+.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 1/24 (*.f64 (pow.f64 phi1 4) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(fma.f64 -1/2 (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 phi1 phi1)) (fma.f64 -1/720 (*.f64 (*.f64 (pow.f64 phi1 6) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 1/24 (*.f64 (*.f64 (pow.f64 phi1 4) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi1 4)) 1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))) (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (*.f64 -1/2 (*.f64 phi1 phi1)) (*.f64 -1/720 (pow.f64 phi1 6)))))
(fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 -1/2 (*.f64 phi1 phi1) (*.f64 -1/720 (pow.f64 phi1 6))) (*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (fma.f64 1/24 (pow.f64 phi1 4) 1)))
(*.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (+.f64 (fma.f64 1/24 (pow.f64 phi1 4) 1) (fma.f64 -1/2 (*.f64 phi1 phi1) (*.f64 -1/720 (pow.f64 phi1 6)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))
(+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))
(fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (*.f64 -1/2 (cos.f64 phi1)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 phi2 phi2))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (*.f64 (*.f64 (*.f64 -1/2 (cos.f64 phi1)) (*.f64 phi2 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (cos.f64 phi1) (*.f64 (*.f64 phi2 phi2) (*.f64 -1/2 (cos.f64 phi1)))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) 1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2))))))
(fma.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4))) (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (*.f64 -1/2 (cos.f64 phi1)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 phi2 phi2)))))
(fma.f64 1/24 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (*.f64 (*.f64 (*.f64 -1/2 (cos.f64 phi1)) (*.f64 phi2 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/2 (*.f64 phi2 phi2)))))
(+.f64 (*.f64 -1/720 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 6)))) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4)))) (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 2)))))))
(fma.f64 -1/720 (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (pow.f64 phi2 6)) (fma.f64 1/24 (*.f64 (cos.f64 phi1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (pow.f64 phi2 4))) (fma.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (*.f64 -1/2 (cos.f64 phi1)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 phi2 phi2))))))
(fma.f64 -1/720 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi1) (pow.f64 phi2 6))) (fma.f64 1/24 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi1) (pow.f64 phi2 4))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1) (*.f64 (*.f64 (*.f64 -1/2 (cos.f64 phi1)) (*.f64 phi2 phi2)) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (+.f64 (cos.f64 phi1) (*.f64 (*.f64 phi2 phi2) (*.f64 -1/2 (cos.f64 phi1))))) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) (*.f64 -1/720 (pow.f64 phi2 6)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 phi2 4)) 1) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))) (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)) (+.f64 (*.f64 -1/2 (*.f64 phi2 phi2)) (*.f64 -1/720 (pow.f64 phi2 6)))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)))
(+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(fma.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 (*.f64 lambda1 (cos.f64 phi1)) (sin.f64 (*.f64 lambda2 -1/2)))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2)))))))
(*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))))
(+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4)) (*.f64 lambda1 lambda1))) (fma.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))
(fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 lambda1 lambda1))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 (*.f64 lambda1 (cos.f64 phi1)) (sin.f64 (*.f64 lambda2 -1/2))))))
(fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda1 (*.f64 lambda1 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4)))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))))
(fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3)))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 phi1) lambda1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) -1/6) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4)) (*.f64 lambda1 lambda1))) (fma.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(fma.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) -1/6)) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 3))) (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 lambda1 lambda1))) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 (*.f64 lambda1 (cos.f64 phi1)) (sin.f64 (*.f64 lambda2 -1/2)))))))
(+.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (*.f64 lambda1 (*.f64 lambda1 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4)))) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3)))))
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(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(fma.f64 -1 (*.f64 lambda2 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(-.f64 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))
(*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 lambda1 -1/2))))))
(+.f64 (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(fma.f64 -1 (*.f64 lambda2 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(-.f64 (*.f64 (cos.f64 phi2) (fma.f64 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 phi1))) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(*.f64 (cos.f64 phi2) (-.f64 (*.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 (*.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(*.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 (*.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 lambda1 -1/2)))))))
(+.f64 (*.f64 -1 (*.f64 lambda2 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (pow.f64 lambda2 3) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (pow.f64 lambda2 2) (*.f64 (cos.f64 phi1) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(fma.f64 -1 (*.f64 lambda2 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) 1/6) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 lambda2 3)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (*.f64 lambda2 lambda2) (cos.f64 phi1)) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(-.f64 (fma.f64 (cos.f64 phi2) (fma.f64 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 phi1))) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 1/6 (pow.f64 lambda2 3))))) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))))))
(fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (pow.f64 lambda2 3) 1/6)) (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 (*.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 lambda2 (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))))))
(fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 (*.f64 lambda2 lambda2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (-.f64 (*.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda2 3))) 1/6) (*.f64 lambda2 (*.f64 (cos.f64 phi2) (cos.f64 phi1))))))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))
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(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
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(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))
(*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2)))
(*.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))

localize177.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.7b
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
1.9b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 318 to 172 computations (45.9% saved)

series3.0ms (0%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
lambda2
@0
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
1.0ms
lambda1
@0
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
0.0ms
lambda2
@-inf
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
0.0ms
lambda2
@inf
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
0.0ms
lambda1
@-inf
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))

rewrite62.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
633×prod-diff_binary64
478×log-prod_binary64
291×pow2_binary64
274×pow-prod-down_binary64
261×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01115
123715
2291212
Stop Event
node limit
Counts
1 → 48
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (/.f64 1 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6)) (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4))) (neg.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)) (-.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (cos.f64 (-.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)) (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 4) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2) 1)))))

simplify56.0ms (0%)

Algorithm
egg-herbie
Rules
538×fma-def_binary64
471×distribute-rgt-neg-in_binary64
434×distribute-lft-neg-in_binary64
381×associate-*l*_binary64
361×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085525
1265489
2857456
34188439
Stop Event
node limit
Counts
64 → 67
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(-.f64 (+.f64 1 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (pow.f64 lambda2 3))) (+.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2))))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (pow.f64 lambda1 3))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
Outputs
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)
(-.f64 (+.f64 1 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 1 (-.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))
(*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) lambda2) (cos.f64 (*.f64 1/2 lambda1))))
(-.f64 (+.f64 1 (+.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 1 (-.f64 (fma.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (neg.f64 (*.f64 (*.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (-.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 (*.f64 lambda2 lambda2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))) (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) lambda2) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 lambda2 (*.f64 lambda2 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) lambda2) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 lambda2 (*.f64 lambda2 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 1/24 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (pow.f64 lambda2 3))) (+.f64 (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1)))) (*.f64 -1 (*.f64 (pow.f64 lambda2 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 1 (-.f64 (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) 1/6) (pow.f64 lambda2 3)) (fma.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (neg.f64 (*.f64 (*.f64 lambda2 lambda2) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 (*.f64 1/2 lambda1)) 1/6))) (pow.f64 lambda2 3) (*.f64 lambda2 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))))) (*.f64 (*.f64 lambda2 lambda2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))) (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (fma.f64 (pow.f64 lambda2 3) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) -1/6) (*.f64 lambda2 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (*.f64 lambda2 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))))))))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (cos.f64 (*.f64 1/2 lambda1))) (-.f64 lambda2 (*.f64 (pow.f64 lambda2 3) 1/6))) (*.f64 lambda2 (*.f64 lambda2 (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) -1/4))))))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 lambda2) lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))) 1) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2)))) 1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(fma.f64 (neg.f64 (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))
(*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (+.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (neg.f64 (sin.f64 (*.f64 lambda2 -1/2))))))
(*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (+.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (sin.f64 (*.f64 1/2 lambda2)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2))))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2)))) 1) (neg.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 lambda1 lambda1)))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(fma.f64 (neg.f64 (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))) (+.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (neg.f64 (*.f64 lambda1 lambda1))) (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))
(-.f64 (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (+.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (neg.f64 (sin.f64 (*.f64 lambda2 -1/2)))))) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))))))
(-.f64 (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (+.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (sin.f64 (*.f64 1/2 lambda2))))) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/24 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2)))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))))) (pow.f64 lambda1 3))) (+.f64 1 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2))) (pow.f64 lambda1 2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2))
(-.f64 (fma.f64 -1 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2)))) (fma.f64 -1 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) -1/6) (pow.f64 lambda1 3)) (+.f64 1 (neg.f64 (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 lambda1 lambda1)))))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(-.f64 (-.f64 (-.f64 (-.f64 1 (*.f64 lambda1 (*.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) (*.f64 -1/6 (pow.f64 lambda1 3)))) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (cos.f64 (*.f64 lambda2 -1/2))))) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))
(fma.f64 -1 (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) (+.f64 lambda1 (*.f64 (pow.f64 lambda1 3) -1/6))) (fma.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))) (*.f64 lambda1 (neg.f64 lambda1)) (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))
(+.f64 (fma.f64 (*.f64 lambda1 lambda1) (*.f64 -1/4 (+.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2) (neg.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)))) (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 lambda2 -1/2))) (-.f64 (*.f64 (pow.f64 lambda1 3) 1/6) lambda1)))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 lambda1) lambda2))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (fma.f64 -1 lambda2 lambda1))) 2))
(-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))

localize220.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 420 to 239 computations (43.1% saved)

localize212.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
1.9b
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
Compiler

Compiled 434 to 242 computations (44.2% saved)

localize233.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))
1.9b
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
Compiler

Compiled 473 to 262 computations (44.6% saved)

eval2.8s (1.9%)

Compiler

Compiled 99452 to 64568 computations (35.1% saved)

prune1.8s (1.2%)

Pruning

183 alts after pruning (183 fresh and 0 done)

PrunedKeptTotal
New1192971289
Fresh3486120
Picked101
Done404
Total12311831414
Error
12.0b
Counts
1414 → 183
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) 2)))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
45.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
39.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
45.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
25.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1))))) 1))))))
33.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
33.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
27.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
50.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 lambda2 -1/2)))) 2))))))
31.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (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))))))))
13.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 0 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))))
45.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))) 1))))))
28.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
26.6b
(*.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) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.1b
(*.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)))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
31.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.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))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)))))
50.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (+.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (sin.f64 (*.f64 1/2 lambda2))))) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2))))))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
47.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
25.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
27.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
25.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
14.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
47.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
27.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
39.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 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)))))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
27.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (*.f64 lambda1 (*.f64 (cos.f64 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.7b
(*.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 (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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (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 (*.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)))))))))
32.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
47.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
47.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (+.f64 (cos.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (sin.f64 (*.f64 1/2 lambda2)))))))))
52.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.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)))))))))
46.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
46.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
32.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 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)))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 lambda1 (*.f64 lambda1 -1/8)) 1) (sin.f64 (*.f64 lambda2 -1/2))) (*.f64 (cos.f64 (*.f64 1/2 lambda2)) (+.f64 (*.f64 1/2 lambda1) (*.f64 (pow.f64 lambda1 3) -1/48)))) 2))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 2) 3) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
36.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (-.f64 (sin.f64 (*.f64 phi1 1/2)) (*.f64 phi2 (cos.f64 (*.f64 phi1 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
22.2b
(*.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) (sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
35.0b
(*.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 1/2 lambda1))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
28.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.2b
(*.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))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
47.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
35.4b
(*.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 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)))))))))
21.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
22.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))
22.0b
(*.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 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 (sin.f64 (*.f64 1/2 phi2)))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
32.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
33.0b
(*.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 (*.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)))))))
35.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
52.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))) (*.f64 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (+.f64 (*.f64 1/48 (*.f64 lambda2 lambda2)) -1/2))) 2))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
22.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
31.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
35.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.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)))))))
31.2b
(*.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) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2)))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
39.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
37.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
50.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 2))) 1))))))
33.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.2b
(*.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)))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
30.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 lambda1 -1/2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
30.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/9) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.6b
(*.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)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
46.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
13.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
14.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
24.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
40.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
33.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 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)))))))))
36.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
14.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.9b
(*.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))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
40.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) 2))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) 2))))))
24.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
20.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 3)))))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))) 1))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) 3))))))
42.2b
(*.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))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
53.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) 2)))))
33.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))))) 1))))))
48.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
31.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
40.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 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)))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
40.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
20.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6)) (+.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
35.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (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))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
42.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
31.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 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)))))))))
22.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 (neg.f64 phi2) 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 (neg.f64 phi2) 1/2)))) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))))))
48.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.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))))))
38.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
22.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
49.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) lambda2) (cos.f64 (*.f64 1/2 lambda1))))))))
34.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
14.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 0 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
29.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 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)))))))))
22.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (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))))))
24.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.7b
(*.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)) (-.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)))))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))
31.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
40.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
25.0b
(*.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 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
Compiler

Compiled 27840 to 20374 computations (26.8% saved)

localize646.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 670 to 422 computations (37% saved)

series54.0ms (0%)

Counts
3 → 80
Calls

24 calls:

TimeVariablePointExpression
32.0ms
lambda2
@0
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
3.0ms
lambda1
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
2.0ms
phi1
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
1.0ms
phi2
@inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
1.0ms
lambda1
@-inf
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))

rewrite85.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
345×add-sqr-sqrt_binary64
340×pow1_binary64
338×*-un-lft-identity_binary64
323×expm1-log1p-u_binary64
322×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03078
166158
Stop Event
node limit
Counts
3 → 79
Calls
Call 1
Inputs
(cos.f64 (-.f64 lambda1 lambda2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda1) (cos.f64 (neg.f64 lambda2))) (*.f64 (sin.f64 lambda1) (sin.f64 (neg.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 lambda1 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2) (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))) (-.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 lambda1 lambda2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 lambda1 lambda2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 lambda1) (cos.f64 lambda2) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 3) 1/8)) (/.f64 1 (+.f64 1/4 (+.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda1 lambda2)) 2) 1/4) (*.f64 1/2 (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) 1/2))))))))) (#(struct:change 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simplify126.0ms (0.1%)

Algorithm
egg-herbie
Rules
638×unsub-neg_binary64
534×*-commutative_binary64
398×cancel-sign-sub-inv_binary64
382×associate--l+_binary64
343×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02213722
17383639
225093548
372913547
Stop Event
node limit
Counts
159 → 153
Calls
Call 1
Inputs
(cos.f64 (neg.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 -1/12 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
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(-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
Outputs
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))
(+.f64 (cos.f64 lambda2) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))
(-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))
(fma.f64 (sin.f64 lambda2) lambda1 (cos.f64 lambda2))
(+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))
(+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1))))
(+.f64 (-.f64 (cos.f64 lambda2) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2)))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 lambda1 (*.f64 (cos.f64 lambda2) -1/2)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (neg.f64 lambda2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 -1 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))))
(fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (+.f64 (cos.f64 lambda2) (fma.f64 -1/2 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (neg.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)))))
(+.f64 (-.f64 (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 lambda2) -1/2)) (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1)) (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)))
(+.f64 (*.f64 lambda1 (+.f64 (sin.f64 lambda2) (*.f64 lambda1 (*.f64 (cos.f64 lambda2) -1/2)))) (fma.f64 (*.f64 -1/6 (sin.f64 lambda2)) (pow.f64 lambda1 3) (cos.f64 lambda2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/2 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 lambda2 (*.f64 lambda2 -1/2)))))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1))))
(+.f64 (fma.f64 -1/2 (*.f64 lambda2 (*.f64 lambda2 (cos.f64 lambda1))) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(+.f64 (*.f64 (cos.f64 lambda1) (+.f64 1 (*.f64 lambda2 (*.f64 lambda2 -1/2)))) (*.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (fma.f64 -1 lambda1 lambda2))
(cos.f64 (-.f64 lambda2 lambda1))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda2)))
(+.f64 1/2 (*.f64 (cos.f64 lambda2) -1/2))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(+.f64 1/2 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) 1/2) (*.f64 (cos.f64 lambda2) 1/2)))
(+.f64 1/2 (*.f64 1/2 (-.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 lambda2))))
(+.f64 1/2 (fma.f64 lambda1 (*.f64 -1/2 (sin.f64 lambda2)) (*.f64 (cos.f64 lambda2) -1/2)))
(*.f64 1/2 (-.f64 (-.f64 1 (*.f64 lambda1 (sin.f64 lambda2))) (cos.f64 lambda2)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1)))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(+.f64 1/2 (-.f64 (fma.f64 1/4 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) 1/2)) (*.f64 (cos.f64 lambda2) 1/2)))
(+.f64 1/2 (+.f64 (*.f64 (cos.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) 1/4)) (*.f64 1/2 (-.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 lambda2)))))
(+.f64 (fma.f64 (*.f64 -1/2 (sin.f64 lambda2)) lambda1 1/2) (*.f64 (cos.f64 lambda2) (-.f64 (*.f64 (*.f64 lambda1 lambda1) 1/4) 1/2)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 -1/12 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3))) (*.f64 1/2 (*.f64 (sin.f64 (neg.f64 lambda2)) lambda1))))) (*.f64 1/2 (cos.f64 (neg.f64 lambda2))))
(+.f64 1/2 (-.f64 (fma.f64 1/4 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) (fma.f64 -1/12 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (*.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) 1/2))) (*.f64 (cos.f64 lambda2) 1/2)))
(+.f64 1/2 (+.f64 (fma.f64 (*.f64 (cos.f64 lambda2) 1/4) (*.f64 lambda1 lambda1) (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/12))) (*.f64 1/2 (-.f64 (*.f64 (neg.f64 (sin.f64 lambda2)) lambda1) (cos.f64 lambda2)))))
(+.f64 (+.f64 1/2 (*.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (*.f64 lambda1 1/2) (*.f64 (pow.f64 lambda1 3) -1/12)))) (*.f64 (cos.f64 lambda2) (-.f64 (*.f64 (*.f64 lambda1 lambda1) 1/4) 1/2)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 lambda1) lambda2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1)))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)))) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)))) (*.f64 -1/2 (cos.f64 lambda1)))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 -1/2 (cos.f64 lambda1))))
(+.f64 1/2 (*.f64 -1/2 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 1/4 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 (+.f64 1/2 (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) 1/4))) (*.f64 -1/2 (cos.f64 lambda1)))
(+.f64 1/2 (+.f64 (*.f64 (*.f64 1/4 (cos.f64 lambda1)) (*.f64 lambda2 lambda2)) (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 -1/2 (cos.f64 lambda1)))))
(+.f64 (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) 1/2) (*.f64 (cos.f64 lambda1) (-.f64 (*.f64 lambda2 (*.f64 lambda2 1/4)) 1/2)))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 1/4 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))) (*.f64 1/2 (cos.f64 lambda1)))
(+.f64 (fma.f64 1/12 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (+.f64 1/2 (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) 1/4)))) (*.f64 -1/2 (cos.f64 lambda1)))
(+.f64 (+.f64 (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (*.f64 1/4 (cos.f64 lambda1)) (*.f64 lambda2 lambda2))) (fma.f64 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) 1/12 1/2)) (*.f64 -1/2 (cos.f64 lambda1)))
(fma.f64 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) 1/12 (+.f64 (fma.f64 -1/2 (*.f64 lambda2 (sin.f64 lambda1)) 1/2) (*.f64 (cos.f64 lambda1) (-.f64 (*.f64 lambda2 (*.f64 lambda2 1/4)) 1/2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 lambda1 lambda2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))
(-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)))
(+.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))
(-.f64 (+.f64 (*.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2)))) (+.f64 1 (*.f64 -1 (*.f64 (pow.f64 phi1 2) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2)) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)) (*.f64 -1/2 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(-.f64 (+.f64 (fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) 1) (neg.f64 (*.f64 (*.f64 phi1 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (fma.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 -1/2 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2)))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))
(fma.f64 phi1 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi2))) (-.f64 (-.f64 1 (*.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 (+.f64 -1/4 (*.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))) (cos.f64 phi2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2)))))) (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2))))
(-.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2))) (*.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))))
(-.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))))) (*.f64 (*.f64 phi1 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (cos.f64 phi2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2))))))
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(-.f64 (+.f64 1 (fma.f64 -1/12 (*.f64 (pow.f64 lambda2 3) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 lambda1))) (fma.f64 1/2 (*.f64 lambda2 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 lambda1))) (*.f64 -1/4 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 phi1)))))))) (+.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1))))))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (*.f64 (pow.f64 lambda2 3) -1/12) (*.f64 lambda2 1/2))) (+.f64 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) -1/4)) 1)) (fma.f64 (cos.f64 phi2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1))) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(+.f64 (*.f64 (*.f64 (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (+.f64 (*.f64 lambda2 1/2) (*.f64 (pow.f64 lambda2 3) -1/12))) (-.f64 (+.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 -1/4 (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (fma.f64 (cos.f64 phi2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1))) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2))))
(-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))
(-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))

localize157.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
1.9b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b
(cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
Compiler

Compiled 339 to 190 computations (44% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
lambda1
@0
(cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
1.0ms
lambda1
@-inf
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
1.0ms
lambda1
@inf
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
1.0ms
lambda1
@0
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
1.0ms
lambda2
@inf
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))

rewrite85.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
555×log-prod_binary64
365×fma-def_binary64
314×pow2_binary64
305×pow-prod-down_binary64
219×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01224
126916
2353016
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 lambda2 lambda1)) (fma.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) (*.f64 (neg.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 lambda2 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 lambda2 3) (fma.f64 lambda1 (+.f64 lambda2 lambda1) (*.f64 lambda2 lambda2)))) (cos.f64 (/.f64 (pow.f64 lambda1 3) (fma.f64 lambda1 (+.f64 lambda2 lambda1) (*.f64 lambda2 lambda2))))) (*.f64 (sin.f64 (/.f64 (pow.f64 lambda2 3) (fma.f64 lambda1 (+.f64 lambda2 lambda1) (*.f64 lambda2 lambda2)))) (sin.f64 (/.f64 (pow.f64 lambda1 3) (fma.f64 lambda1 (+.f64 lambda2 lambda1) (*.f64 lambda2 lambda2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (cos.f64 (/.f64 (*.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))) (*.f64 (sin.f64 (/.f64 (*.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (sin.f64 (/.f64 (*.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 lambda2 lambda1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (neg.f64 lambda1))) (*.f64 (sin.f64 lambda2) (sin.f64 (neg.f64 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 lambda2) (cos.f64 (*.f64 (neg.f64 lambda1) 1))) (*.f64 (sin.f64 lambda2) (sin.f64 (*.f64 (neg.f64 lambda1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1))) (*.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 lambda1) 1 lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (*.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (+.f64 (neg.f64 lambda1) lambda1))) (*.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (+.f64 (neg.f64 lambda1) lambda1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (neg.f64 lambda1)) (cos.f64 lambda2)) (*.f64 (sin.f64 (neg.f64 lambda1)) (sin.f64 lambda2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 lambda2 -1)) (cos.f64 (*.f64 (neg.f64 lambda1) -1))) (*.f64 (sin.f64 (*.f64 lambda2 -1)) (sin.f64 (*.f64 (neg.f64 lambda1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify67.0ms (0%)

Algorithm
egg-herbie
Rules
653×unsub-neg_binary64
473×fma-def_binary64
389×associate-+l+_binary64
353×distribute-lft-neg-out_binary64
353×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
084700
1243602
2653561
32102551
44004547
Stop Event
node limit
Counts
157 → 147
Calls
Call 1
Inputs
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (*.f64 -1 lambda2))
(+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))
(+.f64 (cos.f64 (*.f64 -1 lambda2)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (*.f64 -1 lambda2)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2))))))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (+.f64 1/2 (*.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 -1/4 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (+.f64 1/2 (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (*.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 -1/4 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) (+.f64 1/2 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) (+.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) (+.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)) (*.f64 1/12 (*.f64 (sin.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 3)))))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
Outputs
(cos.f64 lambda1)
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))
(fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1)))
(fma.f64 lambda2 (sin.f64 lambda1) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)))
(fma.f64 (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1) (cos.f64 lambda1) (*.f64 lambda2 (sin.f64 lambda1)))
(+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))) (cos.f64 lambda1))))
(fma.f64 lambda2 (sin.f64 lambda1) (fma.f64 -1/6 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (fma.f64 -1/2 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) (cos.f64 lambda1))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 lambda2 lambda2)) 1) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3)))))
(fma.f64 (sin.f64 lambda1) (+.f64 lambda2 (*.f64 -1/6 (pow.f64 lambda2 3))) (*.f64 (cos.f64 lambda1) (fma.f64 -1/2 (*.f64 lambda2 lambda2) 1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 lambda2))
(cos.f64 (neg.f64 lambda2))
(cos.f64 lambda2)
(+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))
(+.f64 (cos.f64 (neg.f64 lambda2)) (neg.f64 (*.f64 lambda1 (sin.f64 (neg.f64 lambda2)))))
(-.f64 (cos.f64 lambda2) (*.f64 lambda1 (neg.f64 (sin.f64 lambda2))))
(fma.f64 lambda1 (sin.f64 lambda2) (cos.f64 lambda2))
(+.f64 (cos.f64 (*.f64 -1 lambda2)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2)))))
(+.f64 (cos.f64 (neg.f64 lambda2)) (fma.f64 -1 (*.f64 lambda1 (sin.f64 (neg.f64 lambda2))) (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 lambda1 lambda1)))))
(+.f64 (cos.f64 lambda2) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 lambda1 lambda1)) (cos.f64 lambda2)) (*.f64 lambda1 (neg.f64 (sin.f64 lambda2)))))
(fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/2)) (cos.f64 lambda2)))
(+.f64 (cos.f64 lambda2) (*.f64 lambda1 (fma.f64 lambda1 (*.f64 -1/2 (cos.f64 lambda2)) (sin.f64 lambda2))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 3))) (+.f64 (cos.f64 (*.f64 -1 lambda2)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2))))))
(fma.f64 1/6 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)) (+.f64 (cos.f64 (neg.f64 lambda2)) (fma.f64 -1 (*.f64 lambda1 (sin.f64 (neg.f64 lambda2))) (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 lambda1 lambda1))))))
(+.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 lambda1 lambda1)) (cos.f64 lambda2)) (*.f64 lambda1 (neg.f64 (sin.f64 lambda2)))) (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (cos.f64 lambda2)))
(fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 lambda2)) (pow.f64 lambda1 3)) (fma.f64 lambda1 (sin.f64 lambda2) (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/2)) (cos.f64 lambda2))))
(+.f64 (cos.f64 lambda2) (fma.f64 (pow.f64 lambda1 3) (*.f64 -1/6 (sin.f64 lambda2)) (*.f64 lambda1 (fma.f64 lambda1 (*.f64 -1/2 (cos.f64 lambda2)) (sin.f64 lambda2)))))
(fma.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 lambda1 (*.f64 lambda1 -1/2))) (*.f64 (sin.f64 lambda2) (+.f64 (*.f64 -1/6 (pow.f64 lambda1 3)) lambda1)))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))
(cos.f64 (neg.f64 (-.f64 lambda2 lambda1)))
(cos.f64 (-.f64 lambda2 lambda1))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)
(fma.f64 1/2 (cos.f64 lambda1) 1/2)
(fma.f64 (cos.f64 lambda1) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (+.f64 1/2 (*.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1)))))
(+.f64 (fma.f64 1/2 (cos.f64 lambda1) 1/2) (*.f64 (*.f64 lambda2 (sin.f64 lambda1)) 1/2))
(fma.f64 (cos.f64 lambda1) 1/2 (fma.f64 (*.f64 lambda2 (sin.f64 lambda1)) 1/2 1/2))
(+.f64 1/2 (*.f64 1/2 (fma.f64 lambda2 (sin.f64 lambda1) (cos.f64 lambda1))))
(*.f64 1/2 (+.f64 (cos.f64 lambda1) (fma.f64 lambda2 (sin.f64 lambda1) 1)))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 -1/4 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1))))))
(+.f64 (fma.f64 1/2 (cos.f64 lambda1) 1/2) (fma.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) -1/4)))
(+.f64 (fma.f64 (cos.f64 lambda1) 1/2 1/2) (fma.f64 (*.f64 lambda2 (sin.f64 lambda1)) 1/2 (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 -1/4 lambda2) lambda2))))
(fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) 1) 1/2 (*.f64 (cos.f64 lambda1) (+.f64 (*.f64 lambda2 (*.f64 lambda2 -1/4)) 1/2)))
(fma.f64 (fma.f64 lambda2 (sin.f64 lambda1) 1) 1/2 (*.f64 (cos.f64 lambda1) (+.f64 1/2 (*.f64 lambda2 (*.f64 lambda2 -1/4)))))
(+.f64 (*.f64 1/2 (cos.f64 lambda1)) (+.f64 1/2 (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 lambda2 3) (sin.f64 lambda1))) (+.f64 (*.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1))) (*.f64 -1/4 (*.f64 (pow.f64 lambda2 2) (cos.f64 lambda1)))))))
(+.f64 (fma.f64 1/2 (cos.f64 lambda1) 1/2) (fma.f64 -1/12 (*.f64 (sin.f64 lambda1) (pow.f64 lambda2 3)) (fma.f64 1/2 (*.f64 lambda2 (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 lambda1) (*.f64 lambda2 lambda2)) -1/4))))
(+.f64 (fma.f64 (cos.f64 lambda1) 1/2 1/2) (+.f64 (*.f64 (cos.f64 lambda1) (*.f64 (*.f64 -1/4 lambda2) lambda2)) (*.f64 (sin.f64 lambda1) (+.f64 (*.f64 (pow.f64 lambda2 3) -1/12) (*.f64 lambda2 1/2)))))
(fma.f64 (cos.f64 lambda1) 1/2 (fma.f64 (sin.f64 lambda1) (fma.f64 (pow.f64 lambda2 3) -1/12 (*.f64 lambda2 1/2)) (fma.f64 (cos.f64 lambda1) (*.f64 lambda2 (*.f64 lambda2 -1/4)) 1/2)))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) 1/2)
(fma.f64 1/2 (cos.f64 (neg.f64 lambda2)) 1/2)
(fma.f64 (cos.f64 lambda2) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) (+.f64 1/2 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1))))
(+.f64 (fma.f64 1/2 (cos.f64 (neg.f64 lambda2)) 1/2) (*.f64 (*.f64 -1/2 (sin.f64 (neg.f64 lambda2))) lambda1))
(fma.f64 (cos.f64 lambda2) 1/2 (fma.f64 -1/2 (*.f64 lambda1 (neg.f64 (sin.f64 lambda2))) 1/2))
(fma.f64 lambda1 (*.f64 -1/2 (neg.f64 (sin.f64 lambda2))) (fma.f64 (cos.f64 lambda2) 1/2 1/2))
(fma.f64 lambda1 (*.f64 1/2 (sin.f64 lambda2)) (fma.f64 (cos.f64 lambda2) 1/2 1/2))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) (+.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))
(+.f64 (fma.f64 1/2 (cos.f64 (neg.f64 lambda2)) 1/2) (fma.f64 -1/4 (*.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 lambda1 lambda1)) (*.f64 (*.f64 -1/2 (sin.f64 (neg.f64 lambda2))) lambda1)))
(+.f64 (fma.f64 (cos.f64 lambda2) 1/2 1/2) (fma.f64 -1/2 (*.f64 lambda1 (neg.f64 (sin.f64 lambda2))) (*.f64 (cos.f64 lambda2) (*.f64 (*.f64 lambda1 lambda1) -1/4))))
(fma.f64 (cos.f64 lambda2) 1/2 (fma.f64 lambda1 (*.f64 -1/2 (neg.f64 (sin.f64 lambda2))) (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/4)) 1/2)))
(+.f64 (fma.f64 lambda1 (*.f64 1/2 (sin.f64 lambda2)) 1/2) (*.f64 (cos.f64 lambda2) (+.f64 1/2 (*.f64 (*.f64 lambda1 lambda1) -1/4))))
(+.f64 1/2 (fma.f64 (cos.f64 lambda2) (+.f64 (*.f64 (*.f64 lambda1 lambda1) -1/4) 1/2) (*.f64 lambda1 (*.f64 1/2 (sin.f64 lambda2)))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 lambda2))) (+.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)) (*.f64 1/12 (*.f64 (sin.f64 (*.f64 -1 lambda2)) (pow.f64 lambda1 3)))))))
(+.f64 (fma.f64 1/2 (cos.f64 (neg.f64 lambda2)) 1/2) (fma.f64 -1/4 (*.f64 (cos.f64 (neg.f64 lambda2)) (*.f64 lambda1 lambda1)) (fma.f64 -1/2 (*.f64 lambda1 (sin.f64 (neg.f64 lambda2))) (*.f64 (*.f64 (sin.f64 (neg.f64 lambda2)) (pow.f64 lambda1 3)) 1/12))))
(+.f64 (fma.f64 (cos.f64 lambda2) 1/2 1/2) (fma.f64 (*.f64 (cos.f64 lambda2) (*.f64 lambda1 lambda1)) -1/4 (fma.f64 -1/2 (*.f64 lambda1 (neg.f64 (sin.f64 lambda2))) (*.f64 (neg.f64 (sin.f64 lambda2)) (*.f64 (pow.f64 lambda1 3) 1/12)))))
(+.f64 (fma.f64 (cos.f64 lambda2) 1/2 1/2) (fma.f64 (cos.f64 lambda2) (*.f64 lambda1 (*.f64 lambda1 -1/4)) (*.f64 (neg.f64 (sin.f64 lambda2)) (+.f64 (*.f64 lambda1 -1/2) (*.f64 (pow.f64 lambda1 3) 1/12)))))
(+.f64 1/2 (+.f64 (*.f64 (*.f64 lambda1 (sin.f64 (neg.f64 lambda2))) (+.f64 -1/2 (*.f64 (*.f64 lambda1 lambda1) 1/12))) (*.f64 (cos.f64 lambda2) (+.f64 1/2 (*.f64 (*.f64 lambda1 lambda1) -1/4)))))
(+.f64 (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 lambda1 1/2) (*.f64 (pow.f64 lambda1 3) 1/12))) (+.f64 1/2 (*.f64 (cos.f64 lambda2) (+.f64 1/2 (*.f64 (*.f64 lambda1 lambda1) -1/4)))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 -1 (-.f64 lambda2 lambda1)))))
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1 (+.f64 (*.f64 -1 lambda1) lambda2)))) 1/2)
(fma.f64 1/2 (cos.f64 (neg.f64 (-.f64 lambda2 lambda1))) 1/2)
(fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)

localize190.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.8b
(cos.f64 (-.f64 phi1 phi2))
1.9b
(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
2.3b
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 442 to 222 computations (49.8% saved)

series6.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
phi1
@0
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
1.0ms
phi2
@0
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
1.0ms
phi1
@-inf
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
1.0ms
phi2
@inf
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
1.0ms
phi1
@inf
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))

rewrite75.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
559×prod-diff_binary64
457×log-prod_binary64
268×pow2_binary64
263×fma-def_binary64
258×pow-prod-down_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0818
119218
2270316
Stop Event
node limit
Counts
2 → 108
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))
(cos.f64 (-.f64 phi1 phi2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 (-.f64 phi1 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egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (fma.f64 1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2) 1/4) (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/2 (cos.f64 (-.f64 phi1 phi2)) 1/2) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (-.f64 phi1 phi2)) -1/2 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 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#<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cos.f64 (-.f64 phi1 phi2))) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 2)) (cbrt.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))) (sqrt.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) 2)) (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (cos.f64 (-.f64 phi1 phi2)))) (sqrt.f64 (cos.f64 (-.f64 phi1 phi2))) 1/2)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))) (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 1) (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 phi1) (cos.f64 phi2) (neg.f64 (*.f64 (sin.f64 (neg.f64 phi2)) (sin.f64 phi1)))) (fma.f64 (neg.f64 (sin.f64 (neg.f64 phi2))) (sin.f64 phi1) (*.f64 (sin.f64 (neg.f64 phi2)) (sin.f64 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 phi1 phi2)))) (cos.f64 1)) (*.f64 (sin.f64 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(cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 (neg.f64 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 (neg.f64 phi2)) (sin.f64 phi1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 phi1 phi2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 (neg.f64 phi2) 1))) (*.f64 (sin.f64 phi1) (sin.f64 (*.f64 (neg.f64 phi2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (fma.f64 (neg.f64 phi2) 1 phi2))) (*.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (fma.f64 (neg.f64 phi2) 1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2))) (*.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (+.f64 (neg.f64 phi2) phi2))) (*.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (+.f64 (neg.f64 phi2) phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 phi1 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) 2) (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 phi1 phi2))) (sqrt.f64 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 3) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 phi1 phi2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 phi1 phi2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 phi1 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (exp.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 phi1 phi2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 phi1 phi2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (-.f64 phi1 phi2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (-.f64 phi1 phi2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (-.f64 phi1 phi2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 phi1) (cos.f64 phi2) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 phi1) (cos.f64 phi2) (neg.f64 (*.f64 (sin.f64 phi1) (sin.f64 (neg.f64 phi2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 phi2) (cos.f64 phi1) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 1 (*.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) 2) (cbrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) 2) (cbrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (sqrt.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))))

simplify73.0ms (0%)

Algorithm
egg-herbie
Rules
557×fma-neg_binary64
542×fma-def_binary64
427×*-commutative_binary64
401×neg-sub0_binary64
366×neg-mul-1_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079532
1245500
2700432
32820421
47443421
Stop Event
node limit
Counts
140 → 145
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 phi1 (sin.f64 (neg.f64 phi2))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (*.f64 1/2 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 (sin.f64 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 phi1) phi2)) (*.f64 1/4 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 phi1) phi2)) (+.f64 (*.f64 1/4 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (*.f64 1/12 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3)))))) (*.f64 1/2 (cos.f64 phi1)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(cos.f64 (neg.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (*.f64 -1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (*.f64 -1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (*.f64 -1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
Outputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi2)))
(+.f64 1/2 (*.f64 (cos.f64 phi2) -1/2))
(fma.f64 (cos.f64 phi2) -1/2 1/2)
(-.f64 (+.f64 1/2 (*.f64 1/2 (*.f64 phi1 (sin.f64 (neg.f64 phi2))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (-.f64 (*.f64 (*.f64 1/2 phi1) (neg.f64 (sin.f64 phi2))) (*.f64 1/2 (cos.f64 phi2))))
(+.f64 1/2 (*.f64 1/2 (-.f64 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (cos.f64 phi2))))
(fma.f64 (cos.f64 phi2) -1/2 (fma.f64 phi1 (*.f64 -1/2 (sin.f64 phi2)) 1/2))
(-.f64 1/2 (*.f64 1/2 (fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (-.f64 (fma.f64 1/2 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (*.f64 (*.f64 1/4 (cos.f64 phi2)) (*.f64 phi1 phi1))) (*.f64 1/2 (cos.f64 phi2))))
(+.f64 1/2 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) 1/4)) (*.f64 1/2 (-.f64 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (cos.f64 phi2)))))
(+.f64 (fma.f64 phi1 (*.f64 -1/2 (sin.f64 phi2)) 1/2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 1/4 (*.f64 phi1 phi1)) -1/2)))
(+.f64 (fma.f64 phi1 (*.f64 -1/2 (sin.f64 phi2)) 1/2) (*.f64 (cos.f64 phi2) (fma.f64 phi1 (*.f64 phi1 1/4) -1/2)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (*.f64 1/2 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 1/4 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))) (*.f64 1/2 (cos.f64 (neg.f64 phi2))))
(+.f64 1/2 (-.f64 (fma.f64 -1/12 (*.f64 (neg.f64 (sin.f64 phi2)) (pow.f64 phi1 3)) (fma.f64 1/2 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (*.f64 (*.f64 1/4 (cos.f64 phi2)) (*.f64 phi1 phi1)))) (*.f64 1/2 (cos.f64 phi2))))
(+.f64 1/2 (+.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) 1/4)) (*.f64 (neg.f64 (sin.f64 phi2)) (+.f64 (*.f64 -1/12 (pow.f64 phi1 3)) (*.f64 1/2 phi1)))) (*.f64 (cos.f64 phi2) -1/2)))
(+.f64 1/2 (fma.f64 (neg.f64 (sin.f64 phi2)) (fma.f64 -1/12 (pow.f64 phi1 3) (*.f64 1/2 phi1)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 1/4 (*.f64 phi1 phi1)) -1/2))))
(+.f64 1/2 (-.f64 (*.f64 (cos.f64 phi2) (fma.f64 phi1 (*.f64 phi1 1/4) -1/2)) (*.f64 (sin.f64 phi2) (fma.f64 -1/12 (pow.f64 phi1 3) (*.f64 1/2 phi1)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 phi1)))
(fma.f64 (cos.f64 phi1) -1/2 1/2)
(-.f64 (+.f64 1/2 (*.f64 -1/2 (*.f64 (sin.f64 phi1) phi2))) (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (-.f64 (*.f64 -1/2 (*.f64 phi2 (sin.f64 phi1))) (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (fma.f64 -1/2 (*.f64 phi2 (sin.f64 phi1)) (*.f64 (cos.f64 phi1) -1/2)))
(+.f64 1/2 (*.f64 -1/2 (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 phi1) phi2)) (*.f64 1/4 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))))) (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (-.f64 (fma.f64 -1/2 (*.f64 phi2 (sin.f64 phi1)) (*.f64 (*.f64 1/4 (cos.f64 phi1)) (*.f64 phi2 phi2))) (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (+.f64 (*.f64 1/4 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2))) (fma.f64 -1/2 (*.f64 phi2 (sin.f64 phi1)) (*.f64 (cos.f64 phi1) -1/2))))
(+.f64 1/2 (fma.f64 phi2 (*.f64 -1/2 (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (-.f64 (*.f64 phi2 (*.f64 phi2 1/4)) 1/2))))
(+.f64 1/2 (fma.f64 phi2 (*.f64 -1/2 (sin.f64 phi1)) (*.f64 (cos.f64 phi1) (fma.f64 phi2 (*.f64 phi2 1/4) -1/2))))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 phi1) phi2)) (+.f64 (*.f64 1/4 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (*.f64 1/12 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3)))))) (*.f64 1/2 (cos.f64 phi1)))
(+.f64 1/2 (-.f64 (fma.f64 -1/2 (*.f64 phi2 (sin.f64 phi1)) (fma.f64 1/4 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (*.f64 (*.f64 1/12 (sin.f64 phi1)) (pow.f64 phi2 3)))) (*.f64 1/2 (cos.f64 phi1))))
(+.f64 1/2 (+.f64 (fma.f64 1/4 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (*.f64 (sin.f64 phi1) (*.f64 (pow.f64 phi2 3) 1/12))) (fma.f64 -1/2 (*.f64 phi2 (sin.f64 phi1)) (*.f64 (cos.f64 phi1) -1/2))))
(+.f64 (+.f64 1/2 (*.f64 (sin.f64 phi1) (+.f64 (*.f64 phi2 -1/2) (*.f64 1/12 (pow.f64 phi2 3))))) (*.f64 (cos.f64 phi1) (-.f64 (*.f64 phi2 (*.f64 phi2 1/4)) 1/2)))
(+.f64 1/2 (+.f64 (*.f64 (cos.f64 phi1) (fma.f64 phi2 (*.f64 phi2 1/4) -1/2)) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 1/12 (pow.f64 phi2 3)) (*.f64 phi2 -1/2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 phi2) phi1))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 (fma.f64 -1 phi1 phi2))))
(+.f64 1/2 (*.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2))
(fma.f64 (cos.f64 (-.f64 phi2 phi1)) -1/2 1/2)
(cos.f64 (neg.f64 phi2))
(cos.f64 phi2)
(+.f64 (cos.f64 (neg.f64 phi2)) (*.f64 -1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))))
(+.f64 (cos.f64 phi2) (*.f64 (neg.f64 phi1) (neg.f64 (sin.f64 phi2))))
(-.f64 (cos.f64 phi2) (*.f64 phi1 (neg.f64 (sin.f64 phi2))))
(fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (*.f64 -1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2)))))
(+.f64 (cos.f64 phi2) (fma.f64 -1 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 phi1 phi1)) -1/2)))
(+.f64 (cos.f64 phi2) (fma.f64 (neg.f64 phi1) (neg.f64 (sin.f64 phi2)) (*.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) -1/2))))
(fma.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) -1/2) (fma.f64 phi1 (sin.f64 phi2) (cos.f64 phi2)))
(+.f64 (cos.f64 phi2) (*.f64 phi1 (fma.f64 (cos.f64 phi2) (*.f64 phi1 -1/2) (sin.f64 phi2))))
(+.f64 (cos.f64 (neg.f64 phi2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 phi1 3) (sin.f64 (neg.f64 phi2)))) (+.f64 (*.f64 -1 (*.f64 phi1 (sin.f64 (neg.f64 phi2)))) (*.f64 -1/2 (*.f64 (cos.f64 (neg.f64 phi2)) (pow.f64 phi1 2))))))
(+.f64 (cos.f64 phi2) (fma.f64 1/6 (*.f64 (neg.f64 (sin.f64 phi2)) (pow.f64 phi1 3)) (fma.f64 -1 (*.f64 phi1 (neg.f64 (sin.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi2) (*.f64 phi1 phi1)) -1/2))))
(+.f64 (cos.f64 phi2) (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) -1/2)) (*.f64 (neg.f64 (sin.f64 phi2)) (+.f64 (*.f64 (pow.f64 phi1 3) 1/6) (neg.f64 phi1)))))
(fma.f64 (neg.f64 (sin.f64 phi2)) (-.f64 (*.f64 (pow.f64 phi1 3) 1/6) phi1) (fma.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) -1/2) (cos.f64 phi2)))
(+.f64 (cos.f64 phi2) (fma.f64 (cos.f64 phi2) (*.f64 (*.f64 phi1 phi1) -1/2) (*.f64 (sin.f64 phi2) (-.f64 phi1 (*.f64 (pow.f64 phi1 3) 1/6)))))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (neg.f64 (+.f64 (*.f64 -1 phi1) phi2)))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 phi1)
(+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))
(fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1))
(fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1)))
(fma.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1)))
(fma.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1)))
(fma.f64 phi2 (sin.f64 phi1) (*.f64 (+.f64 (*.f64 phi2 (*.f64 phi2 -1/2)) 1) (cos.f64 phi1)))
(fma.f64 phi2 (sin.f64 phi1) (fma.f64 (cos.f64 phi1) (*.f64 phi2 (*.f64 phi2 -1/2)) (cos.f64 phi1)))
(+.f64 (*.f64 -1/6 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 phi2 2))) (+.f64 (*.f64 (sin.f64 phi1) phi2) (cos.f64 phi1))))
(fma.f64 -1/6 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3)) (fma.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 (sin.f64 phi1) phi2 (cos.f64 phi1))))
(fma.f64 (*.f64 (sin.f64 phi1) (pow.f64 phi2 3)) -1/6 (fma.f64 -1/2 (*.f64 (cos.f64 phi1) (*.f64 phi2 phi2)) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(fma.f64 (cos.f64 phi1) (*.f64 phi2 (*.f64 phi2 -1/2)) (fma.f64 (sin.f64 phi1) (*.f64 (pow.f64 phi2 3) -1/6) (fma.f64 phi2 (sin.f64 phi1) (cos.f64 phi1))))
(+.f64 (fma.f64 (cos.f64 phi1) (*.f64 phi2 (*.f64 phi2 -1/2)) (cos.f64 phi1)) (*.f64 (sin.f64 phi1) (+.f64 (*.f64 (pow.f64 phi2 3) -1/6) phi2)))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))
(cos.f64 (+.f64 (*.f64 -1 phi2) phi1))
(cos.f64 (fma.f64 -1 phi1 phi2))
(cos.f64 (-.f64 phi2 phi1))

localize209.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
1.9b
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))
3.5b
(sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2)))
Compiler

Compiled 420 to 242 computations (42.4% saved)

series17.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
phi1
@inf
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms
phi1
@0
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms
lambda1
@inf
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms
phi2
@0
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
2.0ms
phi2
@inf
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

rewrite81.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
828×prod-diff_binary64
334×expm1-udef_binary64
334×log1p-udef_binary64
303×fma-def_binary64
285×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01938
139133
2464532
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) (cbrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (*.f64 (sqrt.f64 (cos.f64 phi1)) (sqrt.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (sqrt.f64 (cos.f64 phi1)) (sqrt.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) 1))))))

simplify140.0ms (0.1%)

Algorithm
egg-herbie
Rules
699×fma-def_binary64
481×cancel-sign-sub-inv_binary64
445×*-commutative_binary64
382×distribute-lft-in_binary64
382×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01652609
15012480
216052379
364542370
Stop Event
node limit
Counts
63 → 54
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 phi1 3) (-.f64 (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2)))) (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))))) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) 2)) (sin.f64 (*.f64 -1/2 phi2)))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 phi1 2) (-.f64 (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))) (pow.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (sin.f64 (*.f64 -1/2 phi2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) 2))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (pow.f64 lambda1 4)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/1440 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (pow.f64 lambda1 6)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (pow.f64 lambda1 4)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (-.f64 (+.f64 (*.f64 1/8 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (*.f64 1/24 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) 2)) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1)))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) (pow.f64 phi2 3)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2)) (+.f64 (*.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)) (*.f64 -1/2 (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (sin.f64 (*.f64 1/2 phi1))))) 2)) (pow.f64 phi2 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
Outputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 phi1 (sin.f64 (*.f64 -1/2 phi2)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
(+.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (*.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) phi1) (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
(fma.f64 1/2 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2)))) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1))) (sqrt.f64 (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 phi1) phi2))) 2)))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 lambda1 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))
(fma.f64 1/8 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 phi2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))
(fma.f64 1/8 (*.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (cos.f64 phi1))) (*.f64 lambda1 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (pow.f64 lambda1 4)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))
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(fma.f64 1/2 (*.f64 (pow.f64 lambda1 4) (/.f64 (-.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) -1/48)) (pow.f64 (*.f64 (/.f64 1/8 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (fma.f64 1/8 (*.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (cos.f64 phi1))) (*.f64 lambda1 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 lambda1 2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/1440 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))) (pow.f64 lambda1 6)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (pow.f64 lambda1 4)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))))))
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(+.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (fma.f64 1/2 (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) -1/48)) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 lambda1 4)) (*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) 1/1440 (*.f64 -1/8 (/.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) -1/48)) (pow.f64 (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 lambda1 6))) (*.f64 1/8 (/.f64 (*.f64 (cos.f64 phi1) (*.f64 (*.f64 lambda1 lambda1) (cos.f64 phi2))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))))
(fma.f64 1/2 (fma.f64 (/.f64 (-.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) -1/48)) (pow.f64 (*.f64 (/.f64 1/8 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (pow.f64 lambda1 4) (*.f64 (pow.f64 lambda1 6) (/.f64 (fma.f64 -1/8 (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (/.f64 (-.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) -1/48)) (pow.f64 (*.f64 (/.f64 1/8 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) 1/1440))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))) (fma.f64 1/8 (*.f64 (/.f64 (cos.f64 phi2) (/.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (cos.f64 phi1))) (*.f64 lambda1 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))
(sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2)))) (*.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))))
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(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -1 phi2) phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))
(sqrt.f64 (fma.f64 (cos.f64 phi2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))

localize464.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))
0.4b
(pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2)
0.6b
(-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
3.5b
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
Compiler

Compiled 644 to 410 computations (36.3% saved)

eval2.5s (1.6%)

Compiler

Compiled 111109 to 70204 computations (36.8% saved)

prune877.0ms (0.6%)

Pruning

211 alts after pruning (211 fresh and 0 done)

PrunedKeptTotal
New12921091401
Fresh76102178
Picked101
Done404
Total13732111584
Error
11.9b
Counts
1584 → 211
Alt Table
Click to see full alt table
StatusErrorProgram
25.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.5b
(*.f64 R (*.f64 2 (atan2.f64 (hypot.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi2))))))))
40.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 -1/2 phi2) (*.f64 (pow.f64 phi2 3) 1/48)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
45.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
39.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) 2)))))))
40.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
41.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
45.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
23.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
46.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4))))))))
44.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (fma.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) -2) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))))))
32.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
50.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (fma.f64 (cos.f64 lambda2) (+.f64 1 (*.f64 lambda1 (*.f64 lambda1 -1/2))) (*.f64 (sin.f64 lambda2) (+.f64 (*.f64 -1/6 (pow.f64 lambda1 3)) lambda1)))))))))
33.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
45.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 lambda1)))) 1))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
26.6b
(*.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) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
45.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (cos.f64 phi1)) (*.f64 lambda2 1/2)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1))) (cos.f64 phi1))))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2))))))
31.1b
(*.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)))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2)))))))
46.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
31.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.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))))))))
40.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda2 lambda2)) 1) (sin.f64 (*.f64 1/2 lambda1))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
47.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
48.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))) 2)))) 1))))))
48.0b
(*.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 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) (sqrt.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2)) 1/2)))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) 1)))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (-.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2))) (*.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
25.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
46.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
34.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1)))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 4) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
46.9b
(*.f64 R (*.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
25.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
14.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (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)))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (cos.f64 (/.f64 (*.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))) (*.f64 (sin.f64 (/.f64 (*.f64 lambda2 lambda2) (+.f64 lambda2 lambda1))) (sin.f64 (/.f64 (*.f64 lambda1 lambda1) (+.f64 lambda2 lambda1)))))))))))
34.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 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)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) -2))))))
26.6b
(*.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 (fma.f64 (cos.f64 phi2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1))) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
36.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (cos.f64 phi1) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))))
22.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.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)))))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 phi1 phi2)) 2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
26.6b
(*.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 (-.f64 (*.f64 (sin.f64 (*.f64 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)))))))))))
46.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
56.8b
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
33.7b
(*.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 (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 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
34.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (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 (*.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)))))))))
35.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
47.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
27.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (*.f64 lambda1 (*.f64 (cos.f64 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
43.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
38.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
46.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
28.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
32.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 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)))))))))
31.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
22.2b
(*.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) (sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
35.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (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 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)))))))))
48.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 lambda2 lambda1)))) (sin.f64 1)))))))))
31.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.2b
(*.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))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)) 3)))))
13.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))))))))))))
31.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))))
21.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
40.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.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)))))))))
46.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
31.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (cos.f64 phi1))))))))
22.0b
(*.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 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 (sin.f64 (*.f64 1/2 phi2)))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
50.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)))) 1))))))
40.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (*.f64 (sin.f64 lambda2) (sin.f64 lambda1)))))))))
32.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.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)))))))
47.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
44.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
22.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2)))) 3)))))
52.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (+.f64 1 (*.f64 -1/8 (*.f64 lambda2 lambda2)))) (*.f64 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1))) (+.f64 (*.f64 1/48 (*.f64 lambda2 lambda2)) -1/2))) 2))))))
23.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 phi1 phi2))) 3))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
35.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
44.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2)))) (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) (*.f64 (pow.f64 lambda1 3) -1/48)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (log1p.f64 (expm1.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
47.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
33.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.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)))))))
31.2b
(*.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) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) 2) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
33.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
31.2b
(*.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)))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 phi2))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
32.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
30.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 lambda2 (*.f64 (cos.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 lambda1 -1/2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
13.6b
(*.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)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 3)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.5b
(*.f64 R (*.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) 3) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
23.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 18) 1/9) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
46.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
13.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
14.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))) 1))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
24.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
40.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
49.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) (sin.f64 1))))) 1))))))
30.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (exp.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (neg.f64 (cos.f64 phi2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2))))))))
46.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1)))) 3) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
52.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
14.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) 3))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
35.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
40.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) 2))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1)))) 3) 2))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))))
20.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
27.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 lambda1 (cos.f64 phi1)) (*.f64 1/2 (sin.f64 lambda2))) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda2) -1/2)) (cos.f64 phi1)))) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
53.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (hypot.f64 (cos.f64 (*.f64 -1/2 phi2)) (sqrt.f64 (*.f64 (cos.f64 phi2) (neg.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))) 2)))))
33.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
43.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
46.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
23.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
33.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 1/2 phi1)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (cos.f64 phi1)))))))
34.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
31.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
40.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 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)))))))
49.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
41.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
20.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))))))))
31.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
13.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2))))))
48.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
48.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
46.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2) 1/4)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1)))))))))
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 (fma.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda2) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)))))))
44.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (-.f64 (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))) (*.f64 (sin.f64 (-.f64 lambda2 lambda1)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 lambda1)) (pow.f64 (cbrt.f64 lambda1) 2) lambda1))))))))))
35.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
42.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))))
22.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 (-.f64 phi1 phi2) 1/2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))))))
50.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 lambda2) (-.f64 (*.f64 lambda1 1/2) (*.f64 (pow.f64 lambda1 3) 1/12))) (+.f64 1/2 (*.f64 (cos.f64 lambda2) (+.f64 1/2 (*.f64 (*.f64 lambda1 lambda1) -1/4)))))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
48.0b
(*.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)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
55.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
13.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))))))
41.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))
48.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
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 (*.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)))))))
38.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))))
37.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
22.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
23.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
41.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
34.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
49.5b
(*.f64 R (*.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
42.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
44.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
14.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 0 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
29.9b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 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)))))))))
34.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 1) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
40.4b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
42.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
23.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))
48.8b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
24.3b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
34.7b
(*.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)) (-.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)))))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (exp.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1/2 1/2)))))))
41.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) 2))))))
23.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
36.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (cos.f64 phi2)))))))
31.7b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)))))))
45.2b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
47.1b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
48.6b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
30.5b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.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) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda2 lambda1))))))))))
50.0b
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (fma.f64 (cos.f64 lambda2) (+.f64 (*.f64 (*.f64 lambda1 lambda1) -1/4) 1/2) (*.f64 lambda1 (*.f64 1/2 (sin.f64 lambda2)))))))))
Compiler

Compiled 15573 to 11408 computations (26.7% saved)

regimes10.7s (7.1%)

Counts
380 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 phi1)) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2)))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) 3) (pow.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (cos.f64 lambda1) (cos.f64 lambda2))) (-.f64 (*.f64 (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))))))))))))))))
Calls

15 calls:

1.3s
(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
844.0ms
phi2
778.0ms
(*.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)))))))))
754.0ms
(*.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))))))))
721.0ms
(-.f64 lambda1 lambda2)
Results
ErrorSegmentsBranch
13.0b1R
13.0b1lambda1
13.0b1lambda2
13.0b1phi1
13.0b1phi2
13.0b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.0b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
13.0b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
13.0b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
13.0b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.0b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.0b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.0b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.0b1(-.f64 lambda1 lambda2)
13.0b1(-.f64 lambda1 lambda2)
Compiler

Compiled 26435 to 16549 computations (37.4% saved)

regimes9.4s (6.3%)

Counts
376 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (-.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2))) (*.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 6) (pow.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) 3)) (fma.f64 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (fma.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)) (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 4)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (*.f64 (*.f64 lambda2 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2))) (cos.f64 phi2))))) (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 1 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 -1/2 lambda2)) (cos.f64 (*.f64 -1/2 lambda2))) (*.f64 lambda1 (cos.f64 phi1))) (*.f64 (*.f64 lambda1 lambda1) (*.f64 (cos.f64 phi1) (fma.f64 -1/4 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 lambda2)) 2)))))))) (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (fma.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 lambda1 (*.f64 lambda1 (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 3)) (+.f64 1 (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 3)) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) (pow.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) 3)) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (+.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (+.f64 (*.f64 (cos.f64 phi2) (+.f64 (*.f64 lambda1 (*.f64 lambda1 (*.f64 (cos.f64 phi1) (fma.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))) (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))))) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (+.f64 (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2) (*.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) -1/6)) (pow.f64 lambda1 3))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 (cos.f64 lambda1) (cos.f64 lambda2)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2))))))))))))))
Calls

15 calls:

878.0ms
R
871.0ms
phi1
805.0ms
lambda2
682.0ms
lambda1
672.0ms
(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
Results
ErrorSegmentsBranch
13.0b1R
13.0b1lambda1
13.0b1lambda2
13.0b1phi1
13.0b1phi2
13.0b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.0b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
13.0b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
13.0b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
13.0b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.0b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.0b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.0b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.0b1(-.f64 lambda1 lambda2)
13.0b1(-.f64 lambda1 lambda2)
Compiler

Compiled 25774 to 16105 computations (37.5% saved)

regimes8.2s (5.4%)

Counts
364 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))) 3) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 3))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (neg.f64 phi1)) (cos.f64 (*.f64 -1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (fma.f64 -1/2 (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2)) (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 lambda1 (*.f64 (cos.f64 phi1) (cos.f64 (*.f64 lambda2 -1/2))))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 lambda2 -1/2)) 2))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (-.f64 (*.f64 (cos.f64 (-.f64 phi1 phi2)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2))) (*.f64 (sin.f64 (-.f64 phi1 phi2)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 phi2)) (pow.f64 (cbrt.f64 phi2) 2) phi2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2)))))))))))))
Calls

14 calls:

716.0ms
lambda2
596.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
521.0ms
(-.f64 lambda1 lambda2)
511.0ms
phi2
508.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
Results
ErrorSegmentsBranch
13.5b1R
13.5b1lambda1
13.5b1lambda2
13.5b1phi1
13.5b1phi2
13.5b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.5b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
13.5b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
13.5b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
13.5b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.5b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.5b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.5b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.5b1(-.f64 lambda1 lambda2)
Compiler

Compiled 24397 to 15210 computations (37.7% saved)

regimes6.2s (4.2%)

Counts
338 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (fma.f64 (sin.f64 (*.f64 1/2 lambda2)) (sin.f64 (*.f64 lambda2 -1/2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 lambda2)) lambda1) (+.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 lambda2))) (*.f64 -1/2 (sin.f64 (*.f64 lambda2 -1/2))))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (fma.f64 (cos.f64 phi2) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 lambda1))) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 (cos.f64 lambda2) -1/2)) (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 phi2)) (+.f64 (sin.f64 (*.f64 -1/2 phi2)) (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1))) (*.f64 phi1 (*.f64 phi1 (fma.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 -1/2 phi2)) 2)))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))) 2))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 lambda1 lambda2))))))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 (*.f64 -1 lambda2) lambda1)))) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
Calls

15 calls:

436.0ms
(*.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)))))))))
421.0ms
phi2
382.0ms
lambda1
373.0ms
(*.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))))))))
367.0ms
R
Results
ErrorSegmentsBranch
13.5b1R
13.5b1lambda1
13.5b1lambda2
13.5b1phi1
13.5b1phi2
13.5b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
13.5b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
13.5b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
13.5b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
13.5b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.5b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
13.5b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.5b1(/.f64 (-.f64 lambda1 lambda2) 2)
13.5b1(-.f64 lambda1 lambda2)
13.5b1(-.f64 lambda1 lambda2)
Compiler

Compiled 22034 to 13649 computations (38.1% saved)

regimes17.5s (11.7%)

Counts
319 → 2
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 (sin.f64 (*.f64 1/2 phi2)))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2)))) 3)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (neg.f64 lambda2)))) (*.f64 (cos.f64 phi2) (cos.f64 phi1))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
Calls

15 calls:

2.2s
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1s
phi1
1.7s
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.5s
R
1.4s
(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 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
ErrorSegmentsBranch
20.8b2R
13.5b2lambda1
13.5b2lambda2
15.4b5phi1
17.6b2phi2
20.8b2(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
20.3b2(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
20.3b2(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
20.5b2(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
17.6b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.6b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.6b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.6b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.6b2(-.f64 lambda1 lambda2)
17.6b2(-.f64 lambda1 lambda2)
Compiler

Compiled 20381 to 12552 computations (38.4% saved)

bsearch717.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
709.0ms
2.9832036206437146e-43
1.9096764489000752e-42
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes15.9s (10.6%)

Counts
318 → 2
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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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)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3) 1/3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (-.f64 1/2 (*.f64 1/2 (cos.f64 lambda1)))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
Calls

15 calls:

2.1s
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.1s
lambda1
1.5s
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.2s
(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
1.1s
phi1
Results
ErrorSegmentsBranch
21.9b1R
17.0b5lambda1
15.7b2lambda2
16.4b3phi1
17.6b2phi2
21.9b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
20.8b2(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
20.8b2(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
20.8b2(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
17.7b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.7b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.7b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.7b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.7b2(-.f64 lambda1 lambda2)
17.7b2(-.f64 lambda1 lambda2)
Compiler

Compiled 20296 to 12493 computations (38.4% saved)

bsearch680.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
663.0ms
5.672956604494758e-26
4.1069067387287874e-20
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes10.7s (7.2%)

Counts
317 → 2
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 (sin.f64 (*.f64 1/2 phi2)))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2)))) 3)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2))))))))
Calls

14 calls:

1.4s
lambda1
1.1s
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
976.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
882.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
830.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
Results
ErrorSegmentsBranch
21.9b1R
19.1b5lambda1
20.2b2lambda2
17.7b2phi1
17.6b2phi2
21.9b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
20.8b2(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
20.8b2(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
20.8b2(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
17.7b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.7b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.7b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.7b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.7b2(-.f64 lambda1 lambda2)
Compiler

Compiled 20204 to 12429 computations (38.5% saved)

bsearch404.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
395.0ms
5.166653283117661e-12
7.046786476153841e-9
Compiler

Compiled 78 to 53 computations (32.1% saved)

regimes8.2s (5.5%)

Counts
315 → 3
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (-.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 phi2 (cos.f64 (*.f64 1/2 phi1))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 1/2 phi2))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (cos.f64 (*.f64 phi1 1/2)) (neg.f64 (sin.f64 (*.f64 1/2 phi2)))) (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 1/2 lambda1)))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 1/2 lambda1)) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (-.f64 lambda1 lambda2)))) (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (-.f64 (*.f64 1/2 phi1) (*.f64 1/2 phi2))) 2)))) 3)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 lambda2 -1/2)) (cos.f64 (*.f64 (neg.f64 lambda1) -1/2))) (*.f64 (cos.f64 (*.f64 lambda2 -1/2)) (sin.f64 (*.f64 (neg.f64 lambda1) -1/2)))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (-.f64 phi1 phi2)))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Calls

14 calls:

1.1s
lambda1
847.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
829.0ms
lambda2
819.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
575.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
Results
ErrorSegmentsBranch
21.9b1R
20.3b3lambda1
19.5b3lambda2
18.4b2phi1
21.9b1phi2
21.9b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
21.9b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
21.9b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
21.9b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
17.8b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.8b3(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
17.8b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.8b2(/.f64 (-.f64 lambda1 lambda2) 2)
17.8b2(-.f64 lambda1 lambda2)
Compiler

Compiled 20038 to 12313 computations (38.6% saved)

bsearch7.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.20123021605980423
0.2352166217266791
0.0ms
-0.0004481092353581467
-2.8122620281704333e-8
Compiler

Compiled 63 to 42 computations (33.3% saved)

regimes4.3s (2.9%)

Counts
314 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2))))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 phi2 -1/2)) (cos.f64 (*.f64 (neg.f64 phi1) -1/2))) (*.f64 (cos.f64 (*.f64 phi2 -1/2)) (sin.f64 (*.f64 (neg.f64 phi1) -1/2)))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) 2) (pow.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) 2)) (cos.f64 (+.f64 phi1 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2))) 3) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Calls

12 calls:

322.0ms
lambda1
312.0ms
R
307.0ms
(*.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)))))))))
300.0ms
(-.f64 lambda1 lambda2)
300.0ms
phi1
Results
ErrorSegmentsBranch
21.9b1R
21.9b1lambda1
21.9b1lambda2
21.9b1phi1
21.9b1phi2
21.9b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
21.9b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
21.9b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
21.9b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
21.9b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.9b1(/.f64 (-.f64 lambda1 lambda2) 2)
21.9b1(-.f64 lambda1 lambda2)
Compiler

Compiled 19934 to 12238 computations (38.6% saved)

regimes4.0s (2.7%)

Counts
272 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 phi2 (sin.f64 (*.f64 1/2 phi1))) (cos.f64 (*.f64 1/2 phi1)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 (*.f64 1/2 phi2)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) phi1) (cos.f64 (*.f64 1/2 phi2)))) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 phi2)) (-.f64 (sin.f64 (*.f64 1/2 phi2)) (*.f64 phi1 (cos.f64 (*.f64 1/2 phi2))))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2) (cos.f64 phi1)))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 phi1 1/2)) (cos.f64 (*.f64 phi2 1/2))) (*.f64 (cos.f64 (*.f64 phi1 1/2)) (sin.f64 (*.f64 phi2 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)) (*.f64 (neg.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 lambda1 lambda2))) 2)))))))
Calls

14 calls:

254.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
253.0ms
(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)))))))
252.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
250.0ms
phi1
247.0ms
(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
Results
ErrorSegmentsBranch
22.0b1R
22.0b1lambda1
22.0b1lambda2
22.0b1phi1
22.0b1phi2
22.0b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.0b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
22.0b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
22.0b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
22.0b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0b1(/.f64 (-.f64 lambda1 lambda2) 2)
22.0b1(/.f64 (-.f64 lambda1 lambda2) 2)
22.0b1(-.f64 lambda1 lambda2)
Compiler

Compiled 16811 to 10304 computations (38.7% saved)

regimes3.8s (2.5%)

Counts
257 → 1
Calls
Call 1
Inputs
(*.f64 R (*.f64 2 (atan2.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 lambda2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 (*.f64 1/2 (cos.f64 lambda1)) 1/2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 (-.f64 lambda2 lambda1)) 1) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 1/2 lambda1))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 lambda1)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 lambda2 -1/2)) 2)))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 phi1)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (*.f64 -1/2 lambda2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 phi2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 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 lambda1))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (*.f64 lambda2 (sin.f64 lambda1)) (cos.f64 lambda1))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (+.f64 (cos.f64 (*.f64 -1 lambda2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 -1 lambda2)) lambda1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1)) (sin.f64 (*.f64 -1/2 lambda2)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 phi1)) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 phi1)) phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (+.f64 (*.f64 -1/2 (*.f64 lambda2 (cos.f64 (*.f64 1/2 lambda1)))) (sin.f64 (*.f64 1/2 lambda1)))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) 6))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (log.f64 (exp.f64 (cos.f64 (-.f64 lambda2 lambda1))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 lambda2 lambda1)) 2))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 lambda2 lambda1))) 3)))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 -1/2 (-.f64 lambda2 lambda1))))))))))
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(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 lambda2)) lambda1) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 lambda1 lambda1)) 1) (sin.f64 (*.f64 -1/2 lambda2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 phi1 phi1)) 1) (sin.f64 (*.f64 -1/2 phi2)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 -1/8 phi2) phi2) 1) (sin.f64 (*.f64 1/2 phi1))) (*.f64 (cos.f64 (*.f64 1/2 phi1)) (+.f64 (*.f64 -1/2 phi2) (*.f64 (pow.f64 phi2 3) 1/48)))) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 3/2)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) (sqrt.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))))) 3) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)) 1/4) 2) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (log.f64 (exp.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)))))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 6)) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 3)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (fma.f64 (cos.f64 phi1) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (*.f64 (cos.f64 phi2) (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))))) (pow.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 -1/2 phi2)) phi1)) (sin.f64 (*.f64 -1/2 phi2))) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2) (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 lambda2 lambda1))) (sin.f64 (*.f64 -1/2 (-.f64 lambda1 lambda2))))) 1))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (-.f64 1/2 (*.f64 1/2 (fma.f64 (sin.f64 phi2) (sin.f64 phi1) (*.f64 (cos.f64 phi1) (cos.f64 phi2))))) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (-.f64 (*.f64 (sin.f64 (*.f64 lambda1 1/2)) (cos.f64 (*.f64 lambda2 1/2))) (*.f64 (cos.f64 (*.f64 lambda1 1/2)) (sin.f64 (*.f64 lambda2 1/2))))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 phi1 phi2))) 2)))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 phi1)) (cos.f64 (*.f64 1/2 phi2))) (*.f64 (sin.f64 (*.f64 1/2 phi2)) (cos.f64 (*.f64 1/2 phi1)))) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 -1/2 lambda2)) 2) (*.f64 (cos.f64 phi2) (cos.f64 phi1)))))))))
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (cos.f64 phi2) (-.f64 (*.f64 (*.f64 (*.f64 lambda2 (cos.f64 phi1)) (cos.f64 (*.f64 1/2 lambda1))) (sin.f64 (*.f64 1/2 lambda1))) (*.f64 (cos.f64 phi1) (pow.f64 (sin.f64 (*.f64 1/2 lambda1)) 2)))) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 phi2 phi1))) 2)))))))
Outputs
(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (pow.f64 (sin.f64 (*.f64 (-.f64 lambda1 lambda2) 1/2)) 2) (pow.f64 (sin.f64 (*.f64 (-.f64 phi1 phi2) 1/2)) 2))) 2))))))
Calls

14 calls:

252.0ms
R
249.0ms
phi2
243.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
242.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
240.0ms
lambda2
Results
ErrorSegmentsBranch
22.1b1R
22.1b1lambda1
22.1b1lambda2
22.1b1phi1
22.1b1phi2
22.1b1(*.f64 R (*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))))
22.1b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
22.1b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
22.1b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
22.1b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.1b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.1b1(/.f64 (-.f64 lambda1 lambda2) 2)
22.1b1(/.f64 (-.f64 lambda1 lambda2) 2)
22.1b1(-.f64 lambda1 lambda2)
Compiler

Compiled 15667 to 9575 computations (38.9% saved)

regimes1.8s (1.2%)

Calls

7 calls:

237.0ms
(-.f64 lambda1 lambda2)
233.0ms
(/.f64 (-.f64 lambda1 lambda2) 2)
221.0ms
(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
207.0ms
(+.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))))
207.0ms
(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
Results
ErrorSegmentsBranch
22.4b1(*.f64 2 (atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))))))
22.4b1(atan2.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))) (sqrt.f64 (-.f64 1 (+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))))
22.4b1(+.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 phi1 phi2) 2)) 2) (*.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))) (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
22.4b1(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.4b1(/.f64 (-.f64 lambda1 lambda2) 2)
22.4b1(-.f64 lambda1 lambda2)
Results
Compiler

Compiled 14849 to 9065 computations (39% saved)

Profiling

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