Spherical law of cosines

Time bar (total: 6.6s)

analyze890.0ms (13.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
0%0%99.8%0.2%0%0%0%9
0%0%99.8%0.2%0%0%0%10
1.6%1.6%98.2%0.2%0%0%0%11
1.6%1.6%98.2%0.2%0%0%0%12
Compiler

Compiled 25 to 18 computations (28% saved)

sample5.2s (80.1%)

Results
2.6s2805×body1024valid
1.1s1906×body512valid
1.0s3280×body256valid
524.0ms263×body2048valid
2.0ms2×body1024infinite
Bogosity

preprocess414.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
661×fma-def
515×*-commutative
443×distribute-lft-neg-in
414×associate-+r+
399×associate--r+
Problems
163×No Errors
56×(cos.f64 (-.f64 lambda1 lambda2))
34×(acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))
3×(+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391768
13051768
25351752
39041752
418661752
529711752
635591752
743731752
858231752
971001752
1077751752
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) (neg.f64 R))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) (neg.f64 R)))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))) R))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))) R))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2))))) R))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))) lambda2)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 R) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) phi1)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 R)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (cos.f64 (-.f64 lambda1 lambda2))))) phi2)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))) R)
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
Outputs
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) (neg.f64 R))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (neg.f64 R))
(*.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) (neg.f64 R))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) (neg.f64 R))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (neg.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))
(*.f64 R (acos.f64 (-.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))
(*.f64 R (acos.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))
(*.f64 R (acos.f64 (-.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))
(*.f64 R (acos.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) (neg.f64 R)))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))))) R))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))) (neg.f64 R))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 (neg.f64 lambda2)))))) R))
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2)))))) (neg.f64 R))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 (neg.f64 lambda1) lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (+.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 phi1)) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 (neg.f64 phi1)) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R))
(*.f64 (acos.f64 (fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (neg.f64 R))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))
(*.f64 R (neg.f64 (acos.f64 (-.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(*.f64 R (neg.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))))
(*.f64 R (neg.f64 (acos.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(neg.f64 (*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 (neg.f64 phi2))) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 (neg.f64 phi2))) (cos.f64 (-.f64 lambda1 lambda2))))) R))
(*.f64 (acos.f64 (fma.f64 (neg.f64 (sin.f64 phi1)) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) (neg.f64 R))
(*.f64 (neg.f64 R) (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2))))))
(*.f64 R (neg.f64 (acos.f64 (-.f64 (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(*.f64 R (neg.f64 (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1))) (*.f64 (sin.f64 phi1) (neg.f64 (sin.f64 phi2)))))))
(*.f64 R (neg.f64 (acos.f64 (-.f64 (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))) (*.f64 (sin.f64 phi1) (sin.f64 phi2))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))) lambda1)
(*.f64 lambda1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 R lambda2))))))
(*.f64 lambda1 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 R lambda2)))))))
(*.f64 lambda1 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 R lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))) lambda2)
(*.f64 lambda2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R))))))
(*.f64 lambda2 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 R)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 lambda2 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 R))) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 R) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 R) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) phi1)
(*.f64 phi1 (acos.f64 (fma.f64 (sin.f64 R) (sin.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 R))))))
(*.f64 phi1 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 R) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi2) (cos.f64 R))))))
(*.f64 phi1 (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 R) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 R))))))
(*.f64 phi1 (acos.f64 (fma.f64 (cos.f64 phi2) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 R)) (*.f64 (sin.f64 phi2) (sin.f64 R)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 R)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 R)) (cos.f64 (-.f64 lambda1 lambda2))))) phi2)
(*.f64 phi2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 R) (*.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 R))))))
(*.f64 phi2 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (cos.f64 phi1) (cos.f64 R)) (*.f64 (sin.f64 phi1) (sin.f64 R)))))
(*.f64 phi2 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 R) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 R))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda1) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda1) (cos.f64 phi2)) (cos.f64 (-.f64 phi1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 lambda1) (sin.f64 phi2) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda1) (*.f64 (cos.f64 lambda1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 phi1 lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda1) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda1)) (cos.f64 (-.f64 phi1 lambda2))))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi2) (sin.f64 lambda1) (*.f64 (cos.f64 phi2) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 lambda2 phi1)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda1)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda1)) (cos.f64 (-.f64 phi2 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda1) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2)))))))
(*.f64 R (acos.f64 (fma.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda1) (cos.f64 (-.f64 phi2 lambda2))) (*.f64 (sin.f64 phi1) (sin.f64 lambda1)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 lambda2) (sin.f64 phi2)) (*.f64 (*.f64 (cos.f64 lambda2) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 phi1))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 lambda2) (sin.f64 phi2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 phi1)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi2) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi1)) (*.f64 (sin.f64 phi2) (sin.f64 lambda2)))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi1) (sin.f64 lambda2)) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 lambda2) (cos.f64 (-.f64 lambda1 phi2)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 lambda2)) (cos.f64 (-.f64 lambda1 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 lambda2)))))
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 lambda2) (*.f64 (cos.f64 lambda2) (*.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda1 phi2)))))))
(*.f64 (acos.f64 (+.f64 (*.f64 (sin.f64 phi2) (sin.f64 phi1)) (*.f64 (*.f64 (cos.f64 phi2) (cos.f64 phi1)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda1 lambda2)))))) R)
(*.f64 (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R)
(*.f64 (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2))))) R)
(*.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (*.f64 (cos.f64 phi1) (*.f64 (cos.f64 phi2) (cos.f64 (-.f64 lambda2 lambda1)))))))
(*.f64 R (acos.f64 (fma.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda2 lambda1)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))))
Symmetry

(negabs R)

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 98 to 18 computations (81.6% saved)

end0.0ms (0%)

Profiling

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