12.846 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
30.831 * * * [progress]: [2/2] Setting up program.
30.837 * [progress]: [Phase 2 of 3] Improving.
30.837 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
30.839 * * [simplify]: iteration  0 :  26  enodes  (cost  12 )
30.841 * * [simplify]: iteration  1 :  34  enodes  (cost  12 )
30.842 * * [simplify]: iteration  2 :  36  enodes  (cost  12 )
30.843 * * [simplify]: iteration  3 :  36  enodes  (cost  12 )
30.843 * [simplify]: Simplified to:
   (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
30.843 * * [progress]: iteration 1 / 4
30.843 * * * [progress]: picking best candidate
30.854 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
30.854 * * * [progress]: localizing error
30.878 * * * [progress]: generating rewritten candidates
30.878 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
30.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
30.883 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
30.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
30.892 * * * [progress]: generating series expansions
30.892 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
30.892 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
30.892 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
30.892 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
30.892 * [taylor]: Taking taylor expansion of lambda1 in lambda2
30.892 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.892 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
30.892 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
30.892 * [taylor]: Taking taylor expansion of lambda1 in lambda1
30.892 * [taylor]: Taking taylor expansion of lambda2 in lambda1
30.892 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
30.892 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
30.892 * [taylor]: Taking taylor expansion of lambda1 in lambda1
30.892 * [taylor]: Taking taylor expansion of lambda2 in lambda1
30.893 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2
30.893 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2
30.893 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.894 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2
30.894 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2
30.894 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2
30.894 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.894 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2
30.894 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2
30.894 * [taylor]: Taking taylor expansion of 1/2 in lambda2
30.894 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2
30.894 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2
30.894 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.895 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
30.895 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
30.895 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
30.895 * [taylor]: Taking taylor expansion of lambda1 in lambda2
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
30.895 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.895 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
30.895 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
30.895 * [taylor]: Taking taylor expansion of lambda1 in lambda1
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
30.895 * [taylor]: Taking taylor expansion of lambda2 in lambda1
30.895 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
30.895 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
30.895 * [taylor]: Taking taylor expansion of lambda1 in lambda1
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
30.895 * [taylor]: Taking taylor expansion of lambda2 in lambda1
30.895 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
30.895 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
30.895 * [taylor]: Taking taylor expansion of lambda1 in lambda2
30.895 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
30.895 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.895 * [taylor]: Taking taylor expansion of 0 in lambda2
30.896 * [taylor]: Taking taylor expansion of 0 in lambda2
30.896 * [taylor]: Taking taylor expansion of 0 in lambda2
30.896 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
30.896 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
30.896 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
30.896 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
30.896 * [taylor]: Taking taylor expansion of lambda1 in lambda2
30.896 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
30.896 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
30.896 * [taylor]: Taking taylor expansion of lambda2 in lambda1
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
30.896 * [taylor]: Taking taylor expansion of lambda1 in lambda1
30.896 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
30.896 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
30.896 * [taylor]: Taking taylor expansion of lambda2 in lambda1
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
30.896 * [taylor]: Taking taylor expansion of lambda1 in lambda1
30.896 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
30.896 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
30.896 * [taylor]: Taking taylor expansion of lambda2 in lambda2
30.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
30.896 * [taylor]: Taking taylor expansion of lambda1 in lambda2
30.897 * [taylor]: Taking taylor expansion of 0 in lambda2
30.897 * [taylor]: Taking taylor expansion of 0 in lambda2
30.897 * [taylor]: Taking taylor expansion of 0 in lambda2
30.897 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
30.897 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
30.897 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
30.899 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
30.900 * [taylor]: Taking taylor expansion of 0 in phi2
30.900 * [taylor]: Taking taylor expansion of 0 in lambda1
30.900 * [taylor]: Taking taylor expansion of 0 in lambda2
30.900 * [taylor]: Taking taylor expansion of 0 in lambda1
30.900 * [taylor]: Taking taylor expansion of 0 in lambda2
30.900 * [taylor]: Taking taylor expansion of 0 in lambda2
30.900 * [taylor]: Taking taylor expansion of 0 in phi2
30.900 * [taylor]: Taking taylor expansion of 0 in lambda1
30.900 * [taylor]: Taking taylor expansion of 0 in lambda2
30.900 * [taylor]: Taking taylor expansion of 0 in lambda1
30.900 * [taylor]: Taking taylor expansion of 0 in lambda2
30.900 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
30.900 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
30.901 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
30.901 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
30.901 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
30.901 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
30.901 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
30.902 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
30.902 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
30.902 * [taylor]: Taking taylor expansion of 0 in phi2
30.902 * [taylor]: Taking taylor expansion of 0 in lambda1
30.902 * [taylor]: Taking taylor expansion of 0 in lambda2
30.902 * [taylor]: Taking taylor expansion of 0 in lambda1
30.902 * [taylor]: Taking taylor expansion of 0 in lambda2
30.902 * [taylor]: Taking taylor expansion of 0 in lambda2
30.902 * [taylor]: Taking taylor expansion of 0 in phi2
30.902 * [taylor]: Taking taylor expansion of 0 in lambda1
30.902 * [taylor]: Taking taylor expansion of 0 in lambda2
30.902 * [taylor]: Taking taylor expansion of 0 in lambda1
30.902 * [taylor]: Taking taylor expansion of 0 in lambda2
30.903 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
30.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
30.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
30.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
30.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
30.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
30.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
30.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
30.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
30.905 * [taylor]: Taking taylor expansion of 0 in phi2
30.905 * [taylor]: Taking taylor expansion of 0 in lambda1
30.905 * [taylor]: Taking taylor expansion of 0 in lambda2
30.905 * [taylor]: Taking taylor expansion of 0 in lambda1
30.905 * [taylor]: Taking taylor expansion of 0 in lambda2
30.905 * [taylor]: Taking taylor expansion of 0 in lambda2
30.905 * [taylor]: Taking taylor expansion of 0 in phi2
30.905 * [taylor]: Taking taylor expansion of 0 in lambda1
30.905 * [taylor]: Taking taylor expansion of 0 in lambda2
30.905 * [taylor]: Taking taylor expansion of 0 in lambda1
30.905 * [taylor]: Taking taylor expansion of 0 in lambda2
30.905 * * * * [progress]: [ 3 / 4 ] generating series at (2)
30.906 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
30.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
30.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
30.906 * [taylor]: Taking taylor expansion of R in R
30.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
30.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
30.906 * [taylor]: Taking taylor expansion of R in lambda2
30.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
30.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
30.906 * [taylor]: Taking taylor expansion of R in lambda1
30.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
30.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
30.906 * [taylor]: Taking taylor expansion of R in phi2
30.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
30.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
30.907 * [taylor]: Taking taylor expansion of R in phi1
30.907 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
30.907 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
30.907 * [taylor]: Taking taylor expansion of R in phi1
30.907 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
30.907 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
30.907 * [taylor]: Taking taylor expansion of R in phi2
30.907 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
30.907 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
30.908 * [taylor]: Taking taylor expansion of R in lambda1
30.908 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
30.908 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
30.908 * [taylor]: Taking taylor expansion of R in lambda2
30.908 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
30.908 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
30.908 * [taylor]: Taking taylor expansion of R in R
30.908 * [taylor]: Taking taylor expansion of 0 in phi2
30.908 * [taylor]: Taking taylor expansion of 0 in lambda1
30.908 * [taylor]: Taking taylor expansion of 0 in lambda2
30.908 * [taylor]: Taking taylor expansion of 0 in R
30.909 * [taylor]: Taking taylor expansion of 0 in lambda1
30.909 * [taylor]: Taking taylor expansion of 0 in lambda2
30.909 * [taylor]: Taking taylor expansion of 0 in R
30.909 * [taylor]: Taking taylor expansion of 0 in lambda2
30.909 * [taylor]: Taking taylor expansion of 0 in R
30.909 * [taylor]: Taking taylor expansion of 0 in R
30.910 * [taylor]: Taking taylor expansion of 0 in phi2
30.910 * [taylor]: Taking taylor expansion of 0 in lambda1
30.910 * [taylor]: Taking taylor expansion of 0 in lambda2
30.910 * [taylor]: Taking taylor expansion of 0 in R
30.910 * [taylor]: Taking taylor expansion of 0 in lambda1
30.910 * [taylor]: Taking taylor expansion of 0 in lambda2
30.910 * [taylor]: Taking taylor expansion of 0 in R
30.910 * [taylor]: Taking taylor expansion of 0 in lambda1
30.910 * [taylor]: Taking taylor expansion of 0 in lambda2
30.910 * [taylor]: Taking taylor expansion of 0 in R
30.910 * [taylor]: Taking taylor expansion of 0 in lambda2
30.910 * [taylor]: Taking taylor expansion of 0 in R
30.910 * [taylor]: Taking taylor expansion of 0 in lambda2
30.910 * [taylor]: Taking taylor expansion of 0 in R
30.910 * [taylor]: Taking taylor expansion of 0 in lambda2
30.910 * [taylor]: Taking taylor expansion of 0 in R
30.911 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
30.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
30.911 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
30.911 * [taylor]: Taking taylor expansion of R in R
30.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
30.911 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
30.912 * [taylor]: Taking taylor expansion of R in lambda2
30.912 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
30.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
30.912 * [taylor]: Taking taylor expansion of R in lambda1
30.912 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
30.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
30.912 * [taylor]: Taking taylor expansion of R in phi2
30.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
30.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
30.913 * [taylor]: Taking taylor expansion of R in phi1
30.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
30.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
30.913 * [taylor]: Taking taylor expansion of R in phi1
30.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
30.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
30.914 * [taylor]: Taking taylor expansion of R in phi2
30.914 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
30.914 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
30.914 * [taylor]: Taking taylor expansion of R in lambda1
30.914 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
30.914 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
30.915 * [taylor]: Taking taylor expansion of R in lambda2
30.915 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
30.915 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
30.915 * [taylor]: Taking taylor expansion of R in R
30.916 * [taylor]: Taking taylor expansion of 0 in phi2
30.916 * [taylor]: Taking taylor expansion of 0 in lambda1
30.916 * [taylor]: Taking taylor expansion of 0 in lambda2
30.916 * [taylor]: Taking taylor expansion of 0 in R
30.916 * [taylor]: Taking taylor expansion of 0 in lambda1
30.916 * [taylor]: Taking taylor expansion of 0 in lambda2
30.916 * [taylor]: Taking taylor expansion of 0 in R
30.916 * [taylor]: Taking taylor expansion of 0 in lambda2
30.916 * [taylor]: Taking taylor expansion of 0 in R
30.917 * [taylor]: Taking taylor expansion of 0 in R
30.917 * [taylor]: Taking taylor expansion of 0 in phi2
30.917 * [taylor]: Taking taylor expansion of 0 in lambda1
30.917 * [taylor]: Taking taylor expansion of 0 in lambda2
30.917 * [taylor]: Taking taylor expansion of 0 in R
30.917 * [taylor]: Taking taylor expansion of 0 in lambda1
30.917 * [taylor]: Taking taylor expansion of 0 in lambda2
30.917 * [taylor]: Taking taylor expansion of 0 in R
30.917 * [taylor]: Taking taylor expansion of 0 in lambda1
30.917 * [taylor]: Taking taylor expansion of 0 in lambda2
30.917 * [taylor]: Taking taylor expansion of 0 in R
30.917 * [taylor]: Taking taylor expansion of 0 in lambda2
30.917 * [taylor]: Taking taylor expansion of 0 in R
30.918 * [taylor]: Taking taylor expansion of 0 in lambda2
30.918 * [taylor]: Taking taylor expansion of 0 in R
30.918 * [taylor]: Taking taylor expansion of 0 in lambda2
30.918 * [taylor]: Taking taylor expansion of 0 in R
30.918 * [taylor]: Taking taylor expansion of 0 in R
30.918 * [taylor]: Taking taylor expansion of 0 in R
30.918 * [taylor]: Taking taylor expansion of 0 in R
30.918 * [taylor]: Taking taylor expansion of 0 in R
30.919 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
30.919 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
30.919 * [taylor]: Taking taylor expansion of -1 in R
30.919 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
30.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
30.919 * [taylor]: Taking taylor expansion of R in R
30.919 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
30.920 * [taylor]: Taking taylor expansion of -1 in lambda2
30.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
30.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
30.920 * [taylor]: Taking taylor expansion of R in lambda2
30.920 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
30.920 * [taylor]: Taking taylor expansion of -1 in lambda1
30.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
30.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
30.920 * [taylor]: Taking taylor expansion of R in lambda1
30.920 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
30.920 * [taylor]: Taking taylor expansion of -1 in phi2
30.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
30.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
30.921 * [taylor]: Taking taylor expansion of R in phi2
30.921 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
30.921 * [taylor]: Taking taylor expansion of -1 in phi1
30.921 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
30.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
30.921 * [taylor]: Taking taylor expansion of R in phi1
30.921 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
30.921 * [taylor]: Taking taylor expansion of -1 in phi1
30.921 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
30.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
30.922 * [taylor]: Taking taylor expansion of R in phi1
30.922 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
30.922 * [taylor]: Taking taylor expansion of -1 in phi2
30.922 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
30.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
30.922 * [taylor]: Taking taylor expansion of R in phi2
30.923 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
30.923 * [taylor]: Taking taylor expansion of -1 in lambda1
30.923 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
30.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
30.923 * [taylor]: Taking taylor expansion of R in lambda1
30.923 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
30.923 * [taylor]: Taking taylor expansion of -1 in lambda2
30.923 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
30.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
30.924 * [taylor]: Taking taylor expansion of R in lambda2
30.924 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
30.924 * [taylor]: Taking taylor expansion of -1 in R
30.924 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
30.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
30.924 * [taylor]: Taking taylor expansion of R in R
30.925 * [taylor]: Taking taylor expansion of 0 in phi2
30.925 * [taylor]: Taking taylor expansion of 0 in lambda1
30.925 * [taylor]: Taking taylor expansion of 0 in lambda2
30.925 * [taylor]: Taking taylor expansion of 0 in R
30.926 * [taylor]: Taking taylor expansion of 0 in lambda1
30.926 * [taylor]: Taking taylor expansion of 0 in lambda2
30.926 * [taylor]: Taking taylor expansion of 0 in R
30.926 * [taylor]: Taking taylor expansion of 0 in lambda2
30.926 * [taylor]: Taking taylor expansion of 0 in R
30.927 * [taylor]: Taking taylor expansion of 0 in R
30.928 * [taylor]: Taking taylor expansion of 0 in phi2
30.928 * [taylor]: Taking taylor expansion of 0 in lambda1
30.928 * [taylor]: Taking taylor expansion of 0 in lambda2
30.928 * [taylor]: Taking taylor expansion of 0 in R
30.928 * [taylor]: Taking taylor expansion of 0 in lambda1
30.928 * [taylor]: Taking taylor expansion of 0 in lambda2
30.928 * [taylor]: Taking taylor expansion of 0 in R
30.928 * [taylor]: Taking taylor expansion of 0 in lambda1
30.928 * [taylor]: Taking taylor expansion of 0 in lambda2
30.928 * [taylor]: Taking taylor expansion of 0 in R
30.928 * [taylor]: Taking taylor expansion of 0 in lambda2
30.928 * [taylor]: Taking taylor expansion of 0 in R
30.928 * [taylor]: Taking taylor expansion of 0 in lambda2
30.928 * [taylor]: Taking taylor expansion of 0 in R
30.929 * [taylor]: Taking taylor expansion of 0 in lambda2
30.929 * [taylor]: Taking taylor expansion of 0 in R
30.929 * [taylor]: Taking taylor expansion of 0 in R
30.929 * [taylor]: Taking taylor expansion of 0 in R
30.929 * [taylor]: Taking taylor expansion of 0 in R
30.929 * [taylor]: Taking taylor expansion of 0 in R
30.930 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
30.930 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
30.930 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
30.930 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
30.930 * [taylor]: Taking taylor expansion of phi1 in phi2
30.930 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
30.930 * [taylor]: Taking taylor expansion of phi2 in phi2
30.930 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
30.930 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
30.930 * [taylor]: Taking taylor expansion of phi1 in phi1
30.930 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
30.930 * [taylor]: Taking taylor expansion of phi2 in phi1
30.931 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
30.931 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
30.931 * [taylor]: Taking taylor expansion of phi1 in phi1
30.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
30.931 * [taylor]: Taking taylor expansion of phi2 in phi1
30.931 * [taylor]: Taking taylor expansion of 0 in phi2
30.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
30.931 * [taylor]: Taking taylor expansion of phi2 in phi2
30.932 * [taylor]: Taking taylor expansion of 0 in phi2
30.932 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2
30.932 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
30.932 * [taylor]: Taking taylor expansion of 1/6 in phi2
30.933 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
30.933 * [taylor]: Taking taylor expansion of phi2 in phi2
30.933 * [taylor]: Taking taylor expansion of 0 in phi2
30.933 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
30.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
30.934 * [taylor]: Taking taylor expansion of phi1 in phi2
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
30.934 * [taylor]: Taking taylor expansion of phi2 in phi2
30.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
30.934 * [taylor]: Taking taylor expansion of phi1 in phi1
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
30.934 * [taylor]: Taking taylor expansion of phi2 in phi1
30.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
30.934 * [taylor]: Taking taylor expansion of phi1 in phi1
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
30.934 * [taylor]: Taking taylor expansion of phi2 in phi1
30.934 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
30.934 * [taylor]: Taking taylor expansion of phi1 in phi2
30.934 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
30.934 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
30.934 * [taylor]: Taking taylor expansion of phi2 in phi2
30.935 * [taylor]: Taking taylor expansion of 0 in phi2
30.936 * [taylor]: Taking taylor expansion of 0 in phi2
30.936 * [taylor]: Taking taylor expansion of 0 in phi2
30.937 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
30.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
30.937 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
30.937 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
30.937 * [taylor]: Taking taylor expansion of -1 in phi2
30.937 * [taylor]: Taking taylor expansion of phi1 in phi2
30.937 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
30.937 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
30.937 * [taylor]: Taking taylor expansion of -1 in phi2
30.937 * [taylor]: Taking taylor expansion of phi2 in phi2
30.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
30.937 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
30.937 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
30.937 * [taylor]: Taking taylor expansion of -1 in phi1
30.937 * [taylor]: Taking taylor expansion of phi1 in phi1
30.937 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
30.937 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
30.937 * [taylor]: Taking taylor expansion of -1 in phi1
30.937 * [taylor]: Taking taylor expansion of phi2 in phi1
30.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
30.937 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
30.937 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
30.937 * [taylor]: Taking taylor expansion of -1 in phi1
30.937 * [taylor]: Taking taylor expansion of phi1 in phi1
30.937 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
30.937 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
30.937 * [taylor]: Taking taylor expansion of -1 in phi1
30.937 * [taylor]: Taking taylor expansion of phi2 in phi1
30.937 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
30.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
30.938 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
30.938 * [taylor]: Taking taylor expansion of -1 in phi2
30.938 * [taylor]: Taking taylor expansion of phi1 in phi2
30.938 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
30.938 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
30.938 * [taylor]: Taking taylor expansion of -1 in phi2
30.938 * [taylor]: Taking taylor expansion of phi2 in phi2
30.938 * [taylor]: Taking taylor expansion of 0 in phi2
30.939 * [taylor]: Taking taylor expansion of 0 in phi2
30.940 * [taylor]: Taking taylor expansion of 0 in phi2
30.940 * * * [progress]: simplifying candidates
30.941 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (cos lambda1) (cos (neg lambda2)))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos (neg lambda2)))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin lambda2))
  (log (cos (- lambda1 lambda2)))
  (exp (cos (- lambda1 lambda2)))
  (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))
  (cbrt (cos (- lambda1 lambda2)))
  (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))
  (sqrt (cos (- lambda1 lambda2)))
  (sqrt (cos (- lambda1 lambda2)))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
  (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R))
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1)
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (+ (log (sin phi1)) (log (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (* (sin phi1) 1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
30.946 * * [simplify]: iteration  0 :  200  enodes  (cost  661 )
30.949 * * [simplify]: iteration  1 :  565  enodes  (cost  569 )
30.959 * * [simplify]: iteration  2 :  1790  enodes  (cost  569 )
30.987 * * [simplify]: iteration  3 :  5001  enodes  (cost  569 )
30.990 * [simplify]: Simplified to:
   (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin (neg lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin lambda2))
  (log (cos (- lambda1 lambda2)))
  (exp (cos (- lambda1 lambda2)))
  (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))
  (cbrt (cos (- lambda1 lambda2)))
  (pow (cos (- lambda1 lambda2)) 3)
  (sqrt (cos (- lambda1 lambda2)))
  (sqrt (cos (- lambda1 lambda2)))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3)
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3)
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3)
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (log (* (sin phi1) (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (sin phi1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
30.991 * * * [progress]: adding candidates to table
31.075 * * [progress]: iteration 2 / 4
31.075 * * * [progress]: picking best candidate
31.146 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
31.146 * * * [progress]: localizing error
31.180 * * * [progress]: generating rewritten candidates
31.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
31.181 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2)
31.186 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
31.189 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
31.195 * * * [progress]: generating series expansions
31.195 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
31.196 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
31.196 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.196 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.196 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.197 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.197 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.197 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.197 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.198 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.198 * [taylor]: Taking taylor expansion of 0 in phi2
31.198 * [taylor]: Taking taylor expansion of 0 in lambda1
31.198 * [taylor]: Taking taylor expansion of 0 in lambda2
31.198 * [taylor]: Taking taylor expansion of 0 in lambda1
31.198 * [taylor]: Taking taylor expansion of 0 in lambda2
31.198 * [taylor]: Taking taylor expansion of 0 in lambda2
31.198 * [taylor]: Taking taylor expansion of 0 in phi2
31.199 * [taylor]: Taking taylor expansion of 0 in lambda1
31.199 * [taylor]: Taking taylor expansion of 0 in lambda2
31.199 * [taylor]: Taking taylor expansion of 0 in lambda1
31.199 * [taylor]: Taking taylor expansion of 0 in lambda2
31.199 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
31.199 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.202 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.203 * [taylor]: Taking taylor expansion of 0 in phi2
31.203 * [taylor]: Taking taylor expansion of 0 in lambda1
31.203 * [taylor]: Taking taylor expansion of 0 in lambda2
31.203 * [taylor]: Taking taylor expansion of 0 in lambda1
31.203 * [taylor]: Taking taylor expansion of 0 in lambda2
31.203 * [taylor]: Taking taylor expansion of 0 in lambda2
31.203 * [taylor]: Taking taylor expansion of 0 in phi2
31.203 * [taylor]: Taking taylor expansion of 0 in lambda1
31.203 * [taylor]: Taking taylor expansion of 0 in lambda2
31.203 * [taylor]: Taking taylor expansion of 0 in lambda1
31.203 * [taylor]: Taking taylor expansion of 0 in lambda2
31.204 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
31.204 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.204 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.204 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.205 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.205 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.206 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.206 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.207 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.207 * [taylor]: Taking taylor expansion of 0 in phi2
31.207 * [taylor]: Taking taylor expansion of 0 in lambda1
31.207 * [taylor]: Taking taylor expansion of 0 in lambda2
31.207 * [taylor]: Taking taylor expansion of 0 in lambda1
31.207 * [taylor]: Taking taylor expansion of 0 in lambda2
31.207 * [taylor]: Taking taylor expansion of 0 in lambda2
31.207 * [taylor]: Taking taylor expansion of 0 in phi2
31.208 * [taylor]: Taking taylor expansion of 0 in lambda1
31.208 * [taylor]: Taking taylor expansion of 0 in lambda2
31.208 * [taylor]: Taking taylor expansion of 0 in lambda1
31.208 * [taylor]: Taking taylor expansion of 0 in lambda2
31.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2)
31.208 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
31.208 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
31.208 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
31.208 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.208 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.208 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.208 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.208 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.208 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.208 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.208 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.208 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.208 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.208 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.208 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.208 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.209 * [taylor]: Taking taylor expansion of 0 in lambda2
31.209 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.209 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.209 * [taylor]: Taking taylor expansion of 0 in lambda2
31.210 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2
31.210 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
31.210 * [taylor]: Taking taylor expansion of 1/6 in lambda2
31.210 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.210 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.211 * [taylor]: Taking taylor expansion of 0 in lambda2
31.211 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
31.211 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.211 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.211 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.211 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.211 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.211 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.211 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.211 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.211 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.211 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.211 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.211 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.211 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.211 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.212 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.212 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.212 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.212 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.212 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.212 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.212 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.212 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.212 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.212 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.212 * [taylor]: Taking taylor expansion of 0 in lambda2
31.213 * [taylor]: Taking taylor expansion of 0 in lambda2
31.214 * [taylor]: Taking taylor expansion of 0 in lambda2
31.214 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
31.214 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.214 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.214 * [taylor]: Taking taylor expansion of -1 in lambda2
31.214 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.214 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.214 * [taylor]: Taking taylor expansion of -1 in lambda2
31.214 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.214 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.214 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.214 * [taylor]: Taking taylor expansion of -1 in lambda1
31.214 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.214 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.214 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.214 * [taylor]: Taking taylor expansion of -1 in lambda1
31.214 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.215 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.215 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.215 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.215 * [taylor]: Taking taylor expansion of -1 in lambda1
31.215 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.215 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.215 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.215 * [taylor]: Taking taylor expansion of -1 in lambda1
31.215 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.215 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.215 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.215 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.215 * [taylor]: Taking taylor expansion of -1 in lambda2
31.215 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.215 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.215 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.215 * [taylor]: Taking taylor expansion of -1 in lambda2
31.215 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.216 * [taylor]: Taking taylor expansion of 0 in lambda2
31.216 * [taylor]: Taking taylor expansion of 0 in lambda2
31.217 * [taylor]: Taking taylor expansion of 0 in lambda2
31.217 * * * * [progress]: [ 3 / 4 ] generating series at (2)
31.218 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
31.218 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
31.218 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
31.218 * [taylor]: Taking taylor expansion of R in R
31.218 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
31.218 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.218 * [taylor]: Taking taylor expansion of R in lambda2
31.218 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
31.218 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.219 * [taylor]: Taking taylor expansion of R in lambda1
31.219 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
31.219 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.219 * [taylor]: Taking taylor expansion of R in phi2
31.219 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
31.219 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.219 * [taylor]: Taking taylor expansion of R in phi1
31.219 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
31.219 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.220 * [taylor]: Taking taylor expansion of R in phi1
31.220 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
31.220 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.220 * [taylor]: Taking taylor expansion of R in phi2
31.220 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
31.220 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.221 * [taylor]: Taking taylor expansion of R in lambda1
31.221 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
31.221 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.221 * [taylor]: Taking taylor expansion of R in lambda2
31.222 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
31.222 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
31.222 * [taylor]: Taking taylor expansion of R in R
31.222 * [taylor]: Taking taylor expansion of 0 in phi2
31.222 * [taylor]: Taking taylor expansion of 0 in lambda1
31.222 * [taylor]: Taking taylor expansion of 0 in lambda2
31.222 * [taylor]: Taking taylor expansion of 0 in R
31.223 * [taylor]: Taking taylor expansion of 0 in lambda1
31.223 * [taylor]: Taking taylor expansion of 0 in lambda2
31.223 * [taylor]: Taking taylor expansion of 0 in R
31.223 * [taylor]: Taking taylor expansion of 0 in lambda2
31.223 * [taylor]: Taking taylor expansion of 0 in R
31.223 * [taylor]: Taking taylor expansion of 0 in R
31.224 * [taylor]: Taking taylor expansion of 0 in phi2
31.224 * [taylor]: Taking taylor expansion of 0 in lambda1
31.224 * [taylor]: Taking taylor expansion of 0 in lambda2
31.224 * [taylor]: Taking taylor expansion of 0 in R
31.224 * [taylor]: Taking taylor expansion of 0 in lambda1
31.224 * [taylor]: Taking taylor expansion of 0 in lambda2
31.224 * [taylor]: Taking taylor expansion of 0 in R
31.225 * [taylor]: Taking taylor expansion of 0 in lambda1
31.225 * [taylor]: Taking taylor expansion of 0 in lambda2
31.225 * [taylor]: Taking taylor expansion of 0 in R
31.225 * [taylor]: Taking taylor expansion of 0 in lambda2
31.225 * [taylor]: Taking taylor expansion of 0 in R
31.225 * [taylor]: Taking taylor expansion of 0 in lambda2
31.225 * [taylor]: Taking taylor expansion of 0 in R
31.225 * [taylor]: Taking taylor expansion of 0 in lambda2
31.225 * [taylor]: Taking taylor expansion of 0 in R
31.226 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
31.226 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
31.226 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
31.226 * [taylor]: Taking taylor expansion of R in R
31.227 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
31.227 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.227 * [taylor]: Taking taylor expansion of R in lambda2
31.228 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
31.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.228 * [taylor]: Taking taylor expansion of R in lambda1
31.228 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
31.228 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.229 * [taylor]: Taking taylor expansion of R in phi2
31.229 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
31.229 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.229 * [taylor]: Taking taylor expansion of R in phi1
31.230 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
31.230 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.230 * [taylor]: Taking taylor expansion of R in phi1
31.231 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
31.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.231 * [taylor]: Taking taylor expansion of R in phi2
31.231 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
31.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.232 * [taylor]: Taking taylor expansion of R in lambda1
31.232 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
31.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.232 * [taylor]: Taking taylor expansion of R in lambda2
31.233 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
31.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
31.233 * [taylor]: Taking taylor expansion of R in R
31.234 * [taylor]: Taking taylor expansion of 0 in phi2
31.235 * [taylor]: Taking taylor expansion of 0 in lambda1
31.235 * [taylor]: Taking taylor expansion of 0 in lambda2
31.235 * [taylor]: Taking taylor expansion of 0 in R
31.235 * [taylor]: Taking taylor expansion of 0 in lambda1
31.235 * [taylor]: Taking taylor expansion of 0 in lambda2
31.235 * [taylor]: Taking taylor expansion of 0 in R
31.235 * [taylor]: Taking taylor expansion of 0 in lambda2
31.235 * [taylor]: Taking taylor expansion of 0 in R
31.236 * [taylor]: Taking taylor expansion of 0 in R
31.237 * [taylor]: Taking taylor expansion of 0 in phi2
31.237 * [taylor]: Taking taylor expansion of 0 in lambda1
31.237 * [taylor]: Taking taylor expansion of 0 in lambda2
31.237 * [taylor]: Taking taylor expansion of 0 in R
31.237 * [taylor]: Taking taylor expansion of 0 in lambda1
31.237 * [taylor]: Taking taylor expansion of 0 in lambda2
31.237 * [taylor]: Taking taylor expansion of 0 in R
31.237 * [taylor]: Taking taylor expansion of 0 in lambda1
31.237 * [taylor]: Taking taylor expansion of 0 in lambda2
31.237 * [taylor]: Taking taylor expansion of 0 in R
31.237 * [taylor]: Taking taylor expansion of 0 in lambda2
31.237 * [taylor]: Taking taylor expansion of 0 in R
31.237 * [taylor]: Taking taylor expansion of 0 in lambda2
31.237 * [taylor]: Taking taylor expansion of 0 in R
31.238 * [taylor]: Taking taylor expansion of 0 in lambda2
31.238 * [taylor]: Taking taylor expansion of 0 in R
31.238 * [taylor]: Taking taylor expansion of 0 in R
31.238 * [taylor]: Taking taylor expansion of 0 in R
31.238 * [taylor]: Taking taylor expansion of 0 in R
31.238 * [taylor]: Taking taylor expansion of 0 in R
31.240 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
31.240 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
31.240 * [taylor]: Taking taylor expansion of -1 in R
31.240 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
31.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
31.240 * [taylor]: Taking taylor expansion of R in R
31.240 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
31.240 * [taylor]: Taking taylor expansion of -1 in lambda2
31.241 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
31.241 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.241 * [taylor]: Taking taylor expansion of R in lambda2
31.241 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
31.241 * [taylor]: Taking taylor expansion of -1 in lambda1
31.241 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
31.241 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.242 * [taylor]: Taking taylor expansion of R in lambda1
31.242 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
31.242 * [taylor]: Taking taylor expansion of -1 in phi2
31.242 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
31.242 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.242 * [taylor]: Taking taylor expansion of R in phi2
31.243 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
31.243 * [taylor]: Taking taylor expansion of -1 in phi1
31.243 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
31.243 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.243 * [taylor]: Taking taylor expansion of R in phi1
31.244 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
31.244 * [taylor]: Taking taylor expansion of -1 in phi1
31.244 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
31.244 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.244 * [taylor]: Taking taylor expansion of R in phi1
31.245 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
31.245 * [taylor]: Taking taylor expansion of -1 in phi2
31.245 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
31.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.245 * [taylor]: Taking taylor expansion of R in phi2
31.246 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
31.246 * [taylor]: Taking taylor expansion of -1 in lambda1
31.246 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
31.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.246 * [taylor]: Taking taylor expansion of R in lambda1
31.247 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
31.247 * [taylor]: Taking taylor expansion of -1 in lambda2
31.247 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
31.247 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.248 * [taylor]: Taking taylor expansion of R in lambda2
31.248 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
31.248 * [taylor]: Taking taylor expansion of -1 in R
31.248 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
31.248 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
31.249 * [taylor]: Taking taylor expansion of R in R
31.251 * [taylor]: Taking taylor expansion of 0 in phi2
31.251 * [taylor]: Taking taylor expansion of 0 in lambda1
31.251 * [taylor]: Taking taylor expansion of 0 in lambda2
31.251 * [taylor]: Taking taylor expansion of 0 in R
31.252 * [taylor]: Taking taylor expansion of 0 in lambda1
31.252 * [taylor]: Taking taylor expansion of 0 in lambda2
31.252 * [taylor]: Taking taylor expansion of 0 in R
31.255 * [taylor]: Taking taylor expansion of 0 in lambda2
31.255 * [taylor]: Taking taylor expansion of 0 in R
31.256 * [taylor]: Taking taylor expansion of 0 in R
31.258 * [taylor]: Taking taylor expansion of 0 in phi2
31.258 * [taylor]: Taking taylor expansion of 0 in lambda1
31.258 * [taylor]: Taking taylor expansion of 0 in lambda2
31.258 * [taylor]: Taking taylor expansion of 0 in R
31.258 * [taylor]: Taking taylor expansion of 0 in lambda1
31.258 * [taylor]: Taking taylor expansion of 0 in lambda2
31.258 * [taylor]: Taking taylor expansion of 0 in R
31.259 * [taylor]: Taking taylor expansion of 0 in lambda1
31.259 * [taylor]: Taking taylor expansion of 0 in lambda2
31.259 * [taylor]: Taking taylor expansion of 0 in R
31.259 * [taylor]: Taking taylor expansion of 0 in lambda2
31.259 * [taylor]: Taking taylor expansion of 0 in R
31.259 * [taylor]: Taking taylor expansion of 0 in lambda2
31.259 * [taylor]: Taking taylor expansion of 0 in R
31.259 * [taylor]: Taking taylor expansion of 0 in lambda2
31.260 * [taylor]: Taking taylor expansion of 0 in R
31.260 * [taylor]: Taking taylor expansion of 0 in R
31.260 * [taylor]: Taking taylor expansion of 0 in R
31.260 * [taylor]: Taking taylor expansion of 0 in R
31.260 * [taylor]: Taking taylor expansion of 0 in R
31.262 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
31.262 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
31.262 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
31.262 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
31.262 * [taylor]: Taking taylor expansion of phi1 in phi2
31.262 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
31.262 * [taylor]: Taking taylor expansion of phi2 in phi2
31.262 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
31.262 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
31.262 * [taylor]: Taking taylor expansion of phi1 in phi1
31.262 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
31.262 * [taylor]: Taking taylor expansion of phi2 in phi1
31.262 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
31.262 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
31.262 * [taylor]: Taking taylor expansion of phi1 in phi1
31.262 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
31.262 * [taylor]: Taking taylor expansion of phi2 in phi1
31.262 * [taylor]: Taking taylor expansion of 0 in phi2
31.263 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
31.263 * [taylor]: Taking taylor expansion of phi2 in phi2
31.263 * [taylor]: Taking taylor expansion of 0 in phi2
31.264 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2
31.264 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
31.264 * [taylor]: Taking taylor expansion of 1/6 in phi2
31.264 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
31.264 * [taylor]: Taking taylor expansion of phi2 in phi2
31.265 * [taylor]: Taking taylor expansion of 0 in phi2
31.265 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
31.265 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
31.265 * [taylor]: Taking taylor expansion of phi1 in phi2
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
31.265 * [taylor]: Taking taylor expansion of phi2 in phi2
31.265 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
31.265 * [taylor]: Taking taylor expansion of phi1 in phi1
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
31.265 * [taylor]: Taking taylor expansion of phi2 in phi1
31.265 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
31.265 * [taylor]: Taking taylor expansion of phi1 in phi1
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
31.265 * [taylor]: Taking taylor expansion of phi2 in phi1
31.265 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
31.265 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
31.265 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
31.265 * [taylor]: Taking taylor expansion of phi1 in phi2
31.266 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
31.266 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
31.266 * [taylor]: Taking taylor expansion of phi2 in phi2
31.266 * [taylor]: Taking taylor expansion of 0 in phi2
31.267 * [taylor]: Taking taylor expansion of 0 in phi2
31.268 * [taylor]: Taking taylor expansion of 0 in phi2
31.268 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
31.268 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
31.268 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
31.268 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
31.268 * [taylor]: Taking taylor expansion of -1 in phi2
31.268 * [taylor]: Taking taylor expansion of phi1 in phi2
31.268 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
31.268 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
31.268 * [taylor]: Taking taylor expansion of -1 in phi2
31.268 * [taylor]: Taking taylor expansion of phi2 in phi2
31.268 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
31.268 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
31.268 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
31.268 * [taylor]: Taking taylor expansion of -1 in phi1
31.268 * [taylor]: Taking taylor expansion of phi1 in phi1
31.268 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
31.268 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
31.268 * [taylor]: Taking taylor expansion of -1 in phi1
31.268 * [taylor]: Taking taylor expansion of phi2 in phi1
31.268 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
31.268 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
31.268 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
31.268 * [taylor]: Taking taylor expansion of -1 in phi1
31.268 * [taylor]: Taking taylor expansion of phi1 in phi1
31.268 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
31.268 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
31.268 * [taylor]: Taking taylor expansion of -1 in phi1
31.268 * [taylor]: Taking taylor expansion of phi2 in phi1
31.269 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
31.269 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
31.269 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
31.269 * [taylor]: Taking taylor expansion of -1 in phi2
31.269 * [taylor]: Taking taylor expansion of phi1 in phi2
31.269 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
31.269 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
31.269 * [taylor]: Taking taylor expansion of -1 in phi2
31.269 * [taylor]: Taking taylor expansion of phi2 in phi2
31.269 * [taylor]: Taking taylor expansion of 0 in phi2
31.270 * [taylor]: Taking taylor expansion of 0 in phi2
31.271 * [taylor]: Taking taylor expansion of 0 in phi2
31.271 * * * [progress]: simplifying candidates
31.272 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (* (sin lambda1) (sin lambda2))
  (+ (log (sin lambda1)) (log (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (* (sin lambda1) 1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1)
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (+ (log (sin phi1)) (log (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2)))
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (* (sin phi1) 1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
31.277 * * [simplify]: iteration  0 :  260  enodes  (cost  929 )
31.282 * * [simplify]: iteration  1 :  831  enodes  (cost  774 )
31.296 * * [simplify]: iteration  2 :  1930  enodes  (cost  774 )
31.319 * * [simplify]: iteration  3 :  3056  enodes  (cost  774 )
31.349 * * [simplify]: iteration  4 :  5001  enodes  (cost  774 )
31.353 * [simplify]: Simplified to:
   (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (* (sin lambda1) (sin lambda2))
  (log (* (sin lambda1) (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (sin lambda1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (* (sin phi1) (sin phi2))
  (log (* (sin phi1) (sin phi2)))
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2))))
  (cbrt (* (sin phi1) (sin phi2)))
  (pow (* (sin phi1) (sin phi2)) 3)
  (sqrt (* (sin phi1) (sin phi2)))
  (sqrt (* (sin phi1) (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sqrt (sin phi1)) (sqrt (sin phi2)))
  (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2))))
  (* (sin phi1) (sqrt (sin phi2)))
  (sin phi1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sqrt (sin phi1)) (sin phi2))
  (* (sin phi1) (sin phi2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
31.354 * * * [progress]: adding candidates to table
31.435 * * [progress]: iteration 3 / 4
31.435 * * * [progress]: picking best candidate
31.524 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
31.524 * * * [progress]: localizing error
31.558 * * * [progress]: generating rewritten candidates
31.558 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
31.560 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
31.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2)
31.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
31.571 * * * [progress]: generating series expansions
31.571 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
31.571 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
31.571 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
31.571 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
31.571 * [taylor]: Taking taylor expansion of phi1 in phi2
31.571 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
31.571 * [taylor]: Taking taylor expansion of phi2 in phi2
31.571 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
31.571 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
31.571 * [taylor]: Taking taylor expansion of phi1 in phi1
31.571 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
31.571 * [taylor]: Taking taylor expansion of phi2 in phi1
31.571 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
31.571 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
31.571 * [taylor]: Taking taylor expansion of phi1 in phi1
31.571 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
31.571 * [taylor]: Taking taylor expansion of phi2 in phi1
31.571 * [taylor]: Taking taylor expansion of 0 in phi2
31.572 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
31.572 * [taylor]: Taking taylor expansion of phi2 in phi2
31.572 * [taylor]: Taking taylor expansion of 0 in phi2
31.573 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2
31.573 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
31.573 * [taylor]: Taking taylor expansion of 1/6 in phi2
31.573 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
31.573 * [taylor]: Taking taylor expansion of phi2 in phi2
31.573 * [taylor]: Taking taylor expansion of 0 in phi2
31.574 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
31.574 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
31.574 * [taylor]: Taking taylor expansion of phi1 in phi2
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
31.574 * [taylor]: Taking taylor expansion of phi2 in phi2
31.574 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
31.574 * [taylor]: Taking taylor expansion of phi1 in phi1
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
31.574 * [taylor]: Taking taylor expansion of phi2 in phi1
31.574 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
31.574 * [taylor]: Taking taylor expansion of phi1 in phi1
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
31.574 * [taylor]: Taking taylor expansion of phi2 in phi1
31.574 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
31.574 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
31.574 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
31.575 * [taylor]: Taking taylor expansion of phi1 in phi2
31.575 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
31.575 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
31.575 * [taylor]: Taking taylor expansion of phi2 in phi2
31.575 * [taylor]: Taking taylor expansion of 0 in phi2
31.576 * [taylor]: Taking taylor expansion of 0 in phi2
31.577 * [taylor]: Taking taylor expansion of 0 in phi2
31.577 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
31.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
31.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
31.577 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
31.577 * [taylor]: Taking taylor expansion of -1 in phi2
31.577 * [taylor]: Taking taylor expansion of phi1 in phi2
31.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
31.577 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
31.577 * [taylor]: Taking taylor expansion of -1 in phi2
31.577 * [taylor]: Taking taylor expansion of phi2 in phi2
31.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
31.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
31.577 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
31.577 * [taylor]: Taking taylor expansion of -1 in phi1
31.577 * [taylor]: Taking taylor expansion of phi1 in phi1
31.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
31.577 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
31.577 * [taylor]: Taking taylor expansion of -1 in phi1
31.577 * [taylor]: Taking taylor expansion of phi2 in phi1
31.577 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
31.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
31.577 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
31.577 * [taylor]: Taking taylor expansion of -1 in phi1
31.577 * [taylor]: Taking taylor expansion of phi1 in phi1
31.577 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
31.578 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
31.578 * [taylor]: Taking taylor expansion of -1 in phi1
31.578 * [taylor]: Taking taylor expansion of phi2 in phi1
31.578 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
31.578 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
31.578 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
31.578 * [taylor]: Taking taylor expansion of -1 in phi2
31.578 * [taylor]: Taking taylor expansion of phi1 in phi2
31.578 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
31.578 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
31.578 * [taylor]: Taking taylor expansion of -1 in phi2
31.578 * [taylor]: Taking taylor expansion of phi2 in phi2
31.578 * [taylor]: Taking taylor expansion of 0 in phi2
31.579 * [taylor]: Taking taylor expansion of 0 in phi2
31.580 * [taylor]: Taking taylor expansion of 0 in phi2
31.580 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
31.580 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
31.580 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.581 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.581 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.581 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.582 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.582 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.582 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.582 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.583 * [taylor]: Taking taylor expansion of 0 in phi2
31.583 * [taylor]: Taking taylor expansion of 0 in lambda1
31.583 * [taylor]: Taking taylor expansion of 0 in lambda2
31.583 * [taylor]: Taking taylor expansion of 0 in lambda1
31.583 * [taylor]: Taking taylor expansion of 0 in lambda2
31.583 * [taylor]: Taking taylor expansion of 0 in lambda2
31.583 * [taylor]: Taking taylor expansion of 0 in phi2
31.583 * [taylor]: Taking taylor expansion of 0 in lambda1
31.583 * [taylor]: Taking taylor expansion of 0 in lambda2
31.583 * [taylor]: Taking taylor expansion of 0 in lambda1
31.583 * [taylor]: Taking taylor expansion of 0 in lambda2
31.584 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
31.584 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.584 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.585 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.585 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.585 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.586 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.586 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.586 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.587 * [taylor]: Taking taylor expansion of 0 in phi2
31.587 * [taylor]: Taking taylor expansion of 0 in lambda1
31.587 * [taylor]: Taking taylor expansion of 0 in lambda2
31.587 * [taylor]: Taking taylor expansion of 0 in lambda1
31.587 * [taylor]: Taking taylor expansion of 0 in lambda2
31.587 * [taylor]: Taking taylor expansion of 0 in lambda2
31.587 * [taylor]: Taking taylor expansion of 0 in phi2
31.587 * [taylor]: Taking taylor expansion of 0 in lambda1
31.587 * [taylor]: Taking taylor expansion of 0 in lambda2
31.587 * [taylor]: Taking taylor expansion of 0 in lambda1
31.587 * [taylor]: Taking taylor expansion of 0 in lambda2
31.588 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
31.588 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.590 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.590 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.591 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.591 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.592 * [taylor]: Taking taylor expansion of 0 in phi2
31.592 * [taylor]: Taking taylor expansion of 0 in lambda1
31.592 * [taylor]: Taking taylor expansion of 0 in lambda2
31.592 * [taylor]: Taking taylor expansion of 0 in lambda1
31.592 * [taylor]: Taking taylor expansion of 0 in lambda2
31.592 * [taylor]: Taking taylor expansion of 0 in lambda2
31.592 * [taylor]: Taking taylor expansion of 0 in phi2
31.592 * [taylor]: Taking taylor expansion of 0 in lambda1
31.592 * [taylor]: Taking taylor expansion of 0 in lambda2
31.592 * [taylor]: Taking taylor expansion of 0 in lambda1
31.592 * [taylor]: Taking taylor expansion of 0 in lambda2
31.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2)
31.593 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
31.593 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
31.593 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
31.593 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.593 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.593 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.593 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.593 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.593 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.593 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.593 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.593 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.593 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.593 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.593 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.593 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.593 * [taylor]: Taking taylor expansion of 0 in lambda2
31.593 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.593 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.594 * [taylor]: Taking taylor expansion of 0 in lambda2
31.594 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2
31.594 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
31.594 * [taylor]: Taking taylor expansion of 1/6 in lambda2
31.594 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.594 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.595 * [taylor]: Taking taylor expansion of 0 in lambda2
31.595 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
31.595 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.595 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.595 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.595 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.595 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.595 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.595 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.595 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.595 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.595 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.595 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.596 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.596 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.596 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.596 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.596 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.596 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.596 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.596 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.596 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.596 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.596 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.596 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.596 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.596 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.596 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.596 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.596 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.597 * [taylor]: Taking taylor expansion of 0 in lambda2
31.597 * [taylor]: Taking taylor expansion of 0 in lambda2
31.598 * [taylor]: Taking taylor expansion of 0 in lambda2
31.598 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
31.598 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.598 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.598 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.598 * [taylor]: Taking taylor expansion of -1 in lambda2
31.598 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.598 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.598 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.598 * [taylor]: Taking taylor expansion of -1 in lambda2
31.598 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.598 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.599 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.599 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.599 * [taylor]: Taking taylor expansion of -1 in lambda1
31.599 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.599 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.599 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.599 * [taylor]: Taking taylor expansion of -1 in lambda1
31.599 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.599 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.599 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.599 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.599 * [taylor]: Taking taylor expansion of -1 in lambda1
31.599 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.599 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.599 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.599 * [taylor]: Taking taylor expansion of -1 in lambda1
31.599 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.599 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.599 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.599 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.599 * [taylor]: Taking taylor expansion of -1 in lambda2
31.599 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.599 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.599 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.599 * [taylor]: Taking taylor expansion of -1 in lambda2
31.599 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.600 * [taylor]: Taking taylor expansion of 0 in lambda2
31.601 * [taylor]: Taking taylor expansion of 0 in lambda2
31.602 * [taylor]: Taking taylor expansion of 0 in lambda2
31.602 * * * * [progress]: [ 4 / 4 ] generating series at (2)
31.602 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
31.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
31.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
31.604 * [taylor]: Taking taylor expansion of R in R
31.604 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
31.604 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.605 * [taylor]: Taking taylor expansion of R in lambda2
31.605 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
31.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.605 * [taylor]: Taking taylor expansion of R in lambda1
31.605 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
31.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.605 * [taylor]: Taking taylor expansion of R in phi2
31.605 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
31.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.606 * [taylor]: Taking taylor expansion of R in phi1
31.606 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
31.606 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.606 * [taylor]: Taking taylor expansion of R in phi1
31.606 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
31.606 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.606 * [taylor]: Taking taylor expansion of R in phi2
31.607 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
31.607 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.607 * [taylor]: Taking taylor expansion of R in lambda1
31.607 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
31.607 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.608 * [taylor]: Taking taylor expansion of R in lambda2
31.608 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
31.608 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
31.608 * [taylor]: Taking taylor expansion of R in R
31.609 * [taylor]: Taking taylor expansion of 0 in phi2
31.609 * [taylor]: Taking taylor expansion of 0 in lambda1
31.609 * [taylor]: Taking taylor expansion of 0 in lambda2
31.609 * [taylor]: Taking taylor expansion of 0 in R
31.609 * [taylor]: Taking taylor expansion of 0 in lambda1
31.609 * [taylor]: Taking taylor expansion of 0 in lambda2
31.609 * [taylor]: Taking taylor expansion of 0 in R
31.609 * [taylor]: Taking taylor expansion of 0 in lambda2
31.609 * [taylor]: Taking taylor expansion of 0 in R
31.610 * [taylor]: Taking taylor expansion of 0 in R
31.611 * [taylor]: Taking taylor expansion of 0 in phi2
31.611 * [taylor]: Taking taylor expansion of 0 in lambda1
31.611 * [taylor]: Taking taylor expansion of 0 in lambda2
31.611 * [taylor]: Taking taylor expansion of 0 in R
31.611 * [taylor]: Taking taylor expansion of 0 in lambda1
31.611 * [taylor]: Taking taylor expansion of 0 in lambda2
31.611 * [taylor]: Taking taylor expansion of 0 in R
31.611 * [taylor]: Taking taylor expansion of 0 in lambda1
31.611 * [taylor]: Taking taylor expansion of 0 in lambda2
31.611 * [taylor]: Taking taylor expansion of 0 in R
31.611 * [taylor]: Taking taylor expansion of 0 in lambda2
31.611 * [taylor]: Taking taylor expansion of 0 in R
31.611 * [taylor]: Taking taylor expansion of 0 in lambda2
31.611 * [taylor]: Taking taylor expansion of 0 in R
31.612 * [taylor]: Taking taylor expansion of 0 in lambda2
31.612 * [taylor]: Taking taylor expansion of 0 in R
31.612 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
31.612 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
31.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
31.613 * [taylor]: Taking taylor expansion of R in R
31.613 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
31.613 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.614 * [taylor]: Taking taylor expansion of R in lambda2
31.614 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
31.614 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.614 * [taylor]: Taking taylor expansion of R in lambda1
31.615 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
31.615 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.615 * [taylor]: Taking taylor expansion of R in phi2
31.615 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
31.615 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.616 * [taylor]: Taking taylor expansion of R in phi1
31.616 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
31.616 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.617 * [taylor]: Taking taylor expansion of R in phi1
31.617 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
31.617 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.617 * [taylor]: Taking taylor expansion of R in phi2
31.618 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
31.618 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.618 * [taylor]: Taking taylor expansion of R in lambda1
31.619 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
31.619 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.619 * [taylor]: Taking taylor expansion of R in lambda2
31.619 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
31.619 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
31.620 * [taylor]: Taking taylor expansion of R in R
31.621 * [taylor]: Taking taylor expansion of 0 in phi2
31.621 * [taylor]: Taking taylor expansion of 0 in lambda1
31.621 * [taylor]: Taking taylor expansion of 0 in lambda2
31.621 * [taylor]: Taking taylor expansion of 0 in R
31.622 * [taylor]: Taking taylor expansion of 0 in lambda1
31.622 * [taylor]: Taking taylor expansion of 0 in lambda2
31.622 * [taylor]: Taking taylor expansion of 0 in R
31.622 * [taylor]: Taking taylor expansion of 0 in lambda2
31.622 * [taylor]: Taking taylor expansion of 0 in R
31.623 * [taylor]: Taking taylor expansion of 0 in R
31.623 * [taylor]: Taking taylor expansion of 0 in phi2
31.623 * [taylor]: Taking taylor expansion of 0 in lambda1
31.624 * [taylor]: Taking taylor expansion of 0 in lambda2
31.624 * [taylor]: Taking taylor expansion of 0 in R
31.624 * [taylor]: Taking taylor expansion of 0 in lambda1
31.624 * [taylor]: Taking taylor expansion of 0 in lambda2
31.624 * [taylor]: Taking taylor expansion of 0 in R
31.624 * [taylor]: Taking taylor expansion of 0 in lambda1
31.624 * [taylor]: Taking taylor expansion of 0 in lambda2
31.624 * [taylor]: Taking taylor expansion of 0 in R
31.624 * [taylor]: Taking taylor expansion of 0 in lambda2
31.624 * [taylor]: Taking taylor expansion of 0 in R
31.624 * [taylor]: Taking taylor expansion of 0 in lambda2
31.624 * [taylor]: Taking taylor expansion of 0 in R
31.625 * [taylor]: Taking taylor expansion of 0 in lambda2
31.625 * [taylor]: Taking taylor expansion of 0 in R
31.625 * [taylor]: Taking taylor expansion of 0 in R
31.625 * [taylor]: Taking taylor expansion of 0 in R
31.625 * [taylor]: Taking taylor expansion of 0 in R
31.625 * [taylor]: Taking taylor expansion of 0 in R
31.626 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
31.627 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
31.627 * [taylor]: Taking taylor expansion of -1 in R
31.627 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
31.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
31.627 * [taylor]: Taking taylor expansion of R in R
31.627 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
31.627 * [taylor]: Taking taylor expansion of -1 in lambda2
31.627 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
31.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.628 * [taylor]: Taking taylor expansion of R in lambda2
31.628 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
31.628 * [taylor]: Taking taylor expansion of -1 in lambda1
31.628 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
31.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.629 * [taylor]: Taking taylor expansion of R in lambda1
31.629 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
31.629 * [taylor]: Taking taylor expansion of -1 in phi2
31.629 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
31.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.629 * [taylor]: Taking taylor expansion of R in phi2
31.630 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
31.630 * [taylor]: Taking taylor expansion of -1 in phi1
31.630 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
31.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.630 * [taylor]: Taking taylor expansion of R in phi1
31.630 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
31.630 * [taylor]: Taking taylor expansion of -1 in phi1
31.630 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
31.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.631 * [taylor]: Taking taylor expansion of R in phi1
31.632 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
31.632 * [taylor]: Taking taylor expansion of -1 in phi2
31.632 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
31.632 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.632 * [taylor]: Taking taylor expansion of R in phi2
31.633 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
31.633 * [taylor]: Taking taylor expansion of -1 in lambda1
31.633 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
31.633 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.633 * [taylor]: Taking taylor expansion of R in lambda1
31.634 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
31.634 * [taylor]: Taking taylor expansion of -1 in lambda2
31.634 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
31.634 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.634 * [taylor]: Taking taylor expansion of R in lambda2
31.635 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
31.635 * [taylor]: Taking taylor expansion of -1 in R
31.635 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
31.635 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
31.635 * [taylor]: Taking taylor expansion of R in R
31.637 * [taylor]: Taking taylor expansion of 0 in phi2
31.637 * [taylor]: Taking taylor expansion of 0 in lambda1
31.637 * [taylor]: Taking taylor expansion of 0 in lambda2
31.637 * [taylor]: Taking taylor expansion of 0 in R
31.638 * [taylor]: Taking taylor expansion of 0 in lambda1
31.638 * [taylor]: Taking taylor expansion of 0 in lambda2
31.638 * [taylor]: Taking taylor expansion of 0 in R
31.639 * [taylor]: Taking taylor expansion of 0 in lambda2
31.639 * [taylor]: Taking taylor expansion of 0 in R
31.640 * [taylor]: Taking taylor expansion of 0 in R
31.641 * [taylor]: Taking taylor expansion of 0 in phi2
31.641 * [taylor]: Taking taylor expansion of 0 in lambda1
31.642 * [taylor]: Taking taylor expansion of 0 in lambda2
31.642 * [taylor]: Taking taylor expansion of 0 in R
31.642 * [taylor]: Taking taylor expansion of 0 in lambda1
31.642 * [taylor]: Taking taylor expansion of 0 in lambda2
31.642 * [taylor]: Taking taylor expansion of 0 in R
31.642 * [taylor]: Taking taylor expansion of 0 in lambda1
31.642 * [taylor]: Taking taylor expansion of 0 in lambda2
31.642 * [taylor]: Taking taylor expansion of 0 in R
31.642 * [taylor]: Taking taylor expansion of 0 in lambda2
31.642 * [taylor]: Taking taylor expansion of 0 in R
31.642 * [taylor]: Taking taylor expansion of 0 in lambda2
31.643 * [taylor]: Taking taylor expansion of 0 in R
31.643 * [taylor]: Taking taylor expansion of 0 in lambda2
31.643 * [taylor]: Taking taylor expansion of 0 in R
31.643 * [taylor]: Taking taylor expansion of 0 in R
31.643 * [taylor]: Taking taylor expansion of 0 in R
31.643 * [taylor]: Taking taylor expansion of 0 in R
31.644 * [taylor]: Taking taylor expansion of 0 in R
31.646 * * * [progress]: simplifying candidates
31.646 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2))))))
  (log (cbrt (exp (* (sin phi1) (sin phi2)))))
  (log (sqrt (exp (* (sin phi1) (sin phi2)))))
  (log (sqrt (exp (* (sin phi1) (sin phi2)))))
  (log 1)
  (log (exp (* (sin phi1) (sin phi2))))
  (log (exp (sin phi1)))
  (log (exp (* (sin phi1) (sin phi2))))
  (log (exp (sin phi1)))
  (log (log (exp (* (sin phi1) (sin phi2)))))
  (exp (log (exp (* (sin phi1) (sin phi2)))))
  (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))))
  (cbrt (log (exp (* (sin phi1) (sin phi2)))))
  (* (* (log (exp (* (sin phi1) (sin phi2)))) (log (exp (* (sin phi1) (sin phi2))))) (log (exp (* (sin phi1) (sin phi2)))))
  (sqrt (log (exp (* (sin phi1) (sin phi2)))))
  (sqrt (log (exp (* (sin phi1) (sin phi2)))))
  (/ PI 2)
  (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (* (sin lambda1) (sin lambda2))
  (+ (log (sin lambda1)) (log (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (* (sin lambda1) 1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R))
  (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R))
  (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))
  (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1)
  (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
31.651 * * [simplify]: iteration  0 :  219  enodes  (cost  996 )
31.655 * * [simplify]: iteration  1 :  674  enodes  (cost  837 )
31.667 * * [simplify]: iteration  2 :  1567  enodes  (cost  837 )
31.685 * * [simplify]: iteration  3 :  2617  enodes  (cost  837 )
31.711 * * [simplify]: iteration  4 :  5002  enodes  (cost  837 )
31.715 * [simplify]: Simplified to:
   (* 2 (log (cbrt (exp (* (sin phi1) (sin phi2))))))
  (log (cbrt (exp (* (sin phi1) (sin phi2)))))
  (log (sqrt (exp (* (sin phi1) (sin phi2)))))
  (log (sqrt (exp (* (sin phi1) (sin phi2)))))
  0
  (* (sin phi1) (sin phi2))
  (sin phi1)
  (* (sin phi1) (sin phi2))
  (sin phi1)
  (+ (log (sin phi1)) (log (sin phi2)))
  (exp (* (sin phi1) (sin phi2)))
  (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))))
  (cbrt (log (exp (* (sin phi1) (sin phi2)))))
  (pow (* (sin phi1) (sin phi2)) 3)
  (sqrt (log (exp (* (sin phi1) (sin phi2)))))
  (sqrt (log (exp (* (sin phi1) (sin phi2)))))
  (/ PI 2)
  (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (pow (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)
  (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (* (sin lambda1) (sin lambda2))
  (log (* (sin lambda1) (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (sin lambda1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (pow (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)
  (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))
  (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (pow (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)
  (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R))
  (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
  (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
31.716 * * * [progress]: adding candidates to table
31.786 * * [progress]: iteration 4 / 4
31.786 * * * [progress]: picking best candidate
31.873 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))>
31.873 * * * [progress]: localizing error
31.908 * * * [progress]: generating rewritten candidates
31.908 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2)
31.910 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
31.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 1)
31.916 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
31.921 * * * [progress]: generating series expansions
31.921 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2)
31.921 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
31.921 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
31.921 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
31.921 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.921 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.921 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.921 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.921 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.921 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.921 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.921 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.921 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.921 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.921 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.921 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.921 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.922 * [taylor]: Taking taylor expansion of 0 in lambda2
31.922 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.922 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.922 * [taylor]: Taking taylor expansion of 0 in lambda2
31.923 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2
31.923 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
31.923 * [taylor]: Taking taylor expansion of 1/6 in lambda2
31.923 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.924 * [taylor]: Taking taylor expansion of 0 in lambda2
31.924 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
31.924 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.924 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.924 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.924 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.924 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.924 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.924 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.924 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.924 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.924 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.924 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.924 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.924 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.924 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.924 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.924 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.925 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.925 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.925 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.925 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.925 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.925 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.925 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.925 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.925 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.925 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.925 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.925 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.926 * [taylor]: Taking taylor expansion of 0 in lambda2
31.926 * [taylor]: Taking taylor expansion of 0 in lambda2
31.927 * [taylor]: Taking taylor expansion of 0 in lambda2
31.927 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
31.927 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.927 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.927 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.927 * [taylor]: Taking taylor expansion of -1 in lambda2
31.927 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.927 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.927 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.927 * [taylor]: Taking taylor expansion of -1 in lambda2
31.927 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.927 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.927 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.927 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.928 * [taylor]: Taking taylor expansion of -1 in lambda1
31.928 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.928 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.928 * [taylor]: Taking taylor expansion of -1 in lambda1
31.928 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.928 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.928 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.928 * [taylor]: Taking taylor expansion of -1 in lambda1
31.928 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.928 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.928 * [taylor]: Taking taylor expansion of -1 in lambda1
31.928 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.928 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.928 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.928 * [taylor]: Taking taylor expansion of -1 in lambda2
31.928 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.928 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.928 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.928 * [taylor]: Taking taylor expansion of -1 in lambda2
31.928 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.929 * [taylor]: Taking taylor expansion of 0 in lambda2
31.929 * [taylor]: Taking taylor expansion of 0 in lambda2
31.930 * [taylor]: Taking taylor expansion of 0 in lambda2
31.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
31.931 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
31.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.931 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.932 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.932 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.932 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.933 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.933 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.934 * [taylor]: Taking taylor expansion of 0 in phi2
31.934 * [taylor]: Taking taylor expansion of 0 in lambda1
31.934 * [taylor]: Taking taylor expansion of 0 in lambda2
31.934 * [taylor]: Taking taylor expansion of 0 in lambda1
31.934 * [taylor]: Taking taylor expansion of 0 in lambda2
31.934 * [taylor]: Taking taylor expansion of 0 in lambda2
31.934 * [taylor]: Taking taylor expansion of 0 in phi2
31.934 * [taylor]: Taking taylor expansion of 0 in lambda1
31.934 * [taylor]: Taking taylor expansion of 0 in lambda2
31.934 * [taylor]: Taking taylor expansion of 0 in lambda1
31.934 * [taylor]: Taking taylor expansion of 0 in lambda2
31.935 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
31.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.938 * [taylor]: Taking taylor expansion of 0 in phi2
31.938 * [taylor]: Taking taylor expansion of 0 in lambda1
31.938 * [taylor]: Taking taylor expansion of 0 in lambda2
31.938 * [taylor]: Taking taylor expansion of 0 in lambda1
31.938 * [taylor]: Taking taylor expansion of 0 in lambda2
31.938 * [taylor]: Taking taylor expansion of 0 in lambda2
31.938 * [taylor]: Taking taylor expansion of 0 in phi2
31.938 * [taylor]: Taking taylor expansion of 0 in lambda1
31.938 * [taylor]: Taking taylor expansion of 0 in lambda2
31.938 * [taylor]: Taking taylor expansion of 0 in lambda1
31.938 * [taylor]: Taking taylor expansion of 0 in lambda2
31.939 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
31.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.943 * [taylor]: Taking taylor expansion of 0 in phi2
31.943 * [taylor]: Taking taylor expansion of 0 in lambda1
31.943 * [taylor]: Taking taylor expansion of 0 in lambda2
31.943 * [taylor]: Taking taylor expansion of 0 in lambda1
31.943 * [taylor]: Taking taylor expansion of 0 in lambda2
31.943 * [taylor]: Taking taylor expansion of 0 in lambda2
31.943 * [taylor]: Taking taylor expansion of 0 in phi2
31.943 * [taylor]: Taking taylor expansion of 0 in lambda1
31.943 * [taylor]: Taking taylor expansion of 0 in lambda2
31.943 * [taylor]: Taking taylor expansion of 0 in lambda1
31.943 * [taylor]: Taking taylor expansion of 0 in lambda2
31.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 1)
31.944 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
31.944 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
31.944 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
31.944 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.944 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.944 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.944 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.944 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.944 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.944 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.944 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.944 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
31.944 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
31.944 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.944 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
31.944 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.944 * [taylor]: Taking taylor expansion of 0 in lambda2
31.944 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.944 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.945 * [taylor]: Taking taylor expansion of 0 in lambda2
31.945 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2
31.945 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
31.945 * [taylor]: Taking taylor expansion of 1/6 in lambda2
31.945 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
31.945 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.946 * [taylor]: Taking taylor expansion of 0 in lambda2
31.946 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
31.946 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.946 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.946 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.946 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.947 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.947 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.947 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
31.947 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
31.947 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
31.947 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
31.947 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
31.947 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.948 * [taylor]: Taking taylor expansion of 0 in lambda2
31.948 * [taylor]: Taking taylor expansion of 0 in lambda2
31.951 * [taylor]: Taking taylor expansion of 0 in lambda2
31.951 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
31.951 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.951 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.951 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.951 * [taylor]: Taking taylor expansion of -1 in lambda2
31.951 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.951 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.951 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.952 * [taylor]: Taking taylor expansion of -1 in lambda2
31.952 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.952 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.952 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.952 * [taylor]: Taking taylor expansion of -1 in lambda1
31.952 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.952 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.952 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.952 * [taylor]: Taking taylor expansion of -1 in lambda1
31.952 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
31.952 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
31.952 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
31.952 * [taylor]: Taking taylor expansion of -1 in lambda1
31.952 * [taylor]: Taking taylor expansion of lambda1 in lambda1
31.952 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
31.952 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
31.952 * [taylor]: Taking taylor expansion of -1 in lambda1
31.952 * [taylor]: Taking taylor expansion of lambda2 in lambda1
31.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
31.952 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
31.952 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
31.952 * [taylor]: Taking taylor expansion of -1 in lambda2
31.952 * [taylor]: Taking taylor expansion of lambda1 in lambda2
31.952 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
31.952 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
31.952 * [taylor]: Taking taylor expansion of -1 in lambda2
31.952 * [taylor]: Taking taylor expansion of lambda2 in lambda2
31.953 * [taylor]: Taking taylor expansion of 0 in lambda2
31.954 * [taylor]: Taking taylor expansion of 0 in lambda2
31.955 * [taylor]: Taking taylor expansion of 0 in lambda2
31.955 * * * * [progress]: [ 4 / 4 ] generating series at (2)
31.955 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
31.955 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
31.955 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
31.956 * [taylor]: Taking taylor expansion of R in R
31.956 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
31.956 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.956 * [taylor]: Taking taylor expansion of R in lambda2
31.956 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
31.956 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.956 * [taylor]: Taking taylor expansion of R in lambda1
31.956 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
31.956 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.956 * [taylor]: Taking taylor expansion of R in phi2
31.956 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
31.957 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.957 * [taylor]: Taking taylor expansion of R in phi1
31.957 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
31.957 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
31.957 * [taylor]: Taking taylor expansion of R in phi1
31.957 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
31.957 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
31.958 * [taylor]: Taking taylor expansion of R in phi2
31.958 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
31.958 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
31.958 * [taylor]: Taking taylor expansion of R in lambda1
31.959 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
31.959 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
31.959 * [taylor]: Taking taylor expansion of R in lambda2
31.959 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
31.959 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
31.959 * [taylor]: Taking taylor expansion of R in R
31.960 * [taylor]: Taking taylor expansion of 0 in phi2
31.960 * [taylor]: Taking taylor expansion of 0 in lambda1
31.960 * [taylor]: Taking taylor expansion of 0 in lambda2
31.960 * [taylor]: Taking taylor expansion of 0 in R
31.960 * [taylor]: Taking taylor expansion of 0 in lambda1
31.960 * [taylor]: Taking taylor expansion of 0 in lambda2
31.960 * [taylor]: Taking taylor expansion of 0 in R
31.961 * [taylor]: Taking taylor expansion of 0 in lambda2
31.961 * [taylor]: Taking taylor expansion of 0 in R
31.961 * [taylor]: Taking taylor expansion of 0 in R
31.962 * [taylor]: Taking taylor expansion of 0 in phi2
31.962 * [taylor]: Taking taylor expansion of 0 in lambda1
31.962 * [taylor]: Taking taylor expansion of 0 in lambda2
31.962 * [taylor]: Taking taylor expansion of 0 in R
31.962 * [taylor]: Taking taylor expansion of 0 in lambda1
31.962 * [taylor]: Taking taylor expansion of 0 in lambda2
31.962 * [taylor]: Taking taylor expansion of 0 in R
31.962 * [taylor]: Taking taylor expansion of 0 in lambda1
31.963 * [taylor]: Taking taylor expansion of 0 in lambda2
31.963 * [taylor]: Taking taylor expansion of 0 in R
31.963 * [taylor]: Taking taylor expansion of 0 in lambda2
31.963 * [taylor]: Taking taylor expansion of 0 in R
31.963 * [taylor]: Taking taylor expansion of 0 in lambda2
31.963 * [taylor]: Taking taylor expansion of 0 in R
31.963 * [taylor]: Taking taylor expansion of 0 in lambda2
31.963 * [taylor]: Taking taylor expansion of 0 in R
31.964 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
31.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
31.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
31.964 * [taylor]: Taking taylor expansion of R in R
31.965 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
31.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.965 * [taylor]: Taking taylor expansion of R in lambda2
31.965 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
31.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.966 * [taylor]: Taking taylor expansion of R in lambda1
31.966 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
31.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.966 * [taylor]: Taking taylor expansion of R in phi2
31.967 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
31.967 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.967 * [taylor]: Taking taylor expansion of R in phi1
31.968 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
31.968 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
31.968 * [taylor]: Taking taylor expansion of R in phi1
31.968 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
31.968 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
31.969 * [taylor]: Taking taylor expansion of R in phi2
31.969 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
31.969 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
31.970 * [taylor]: Taking taylor expansion of R in lambda1
31.970 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
31.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
31.970 * [taylor]: Taking taylor expansion of R in lambda2
31.971 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
31.971 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
31.971 * [taylor]: Taking taylor expansion of R in R
31.972 * [taylor]: Taking taylor expansion of 0 in phi2
31.972 * [taylor]: Taking taylor expansion of 0 in lambda1
31.972 * [taylor]: Taking taylor expansion of 0 in lambda2
31.972 * [taylor]: Taking taylor expansion of 0 in R
31.973 * [taylor]: Taking taylor expansion of 0 in lambda1
31.973 * [taylor]: Taking taylor expansion of 0 in lambda2
31.973 * [taylor]: Taking taylor expansion of 0 in R
31.973 * [taylor]: Taking taylor expansion of 0 in lambda2
31.973 * [taylor]: Taking taylor expansion of 0 in R
31.974 * [taylor]: Taking taylor expansion of 0 in R
31.975 * [taylor]: Taking taylor expansion of 0 in phi2
31.975 * [taylor]: Taking taylor expansion of 0 in lambda1
31.975 * [taylor]: Taking taylor expansion of 0 in lambda2
31.975 * [taylor]: Taking taylor expansion of 0 in R
31.975 * [taylor]: Taking taylor expansion of 0 in lambda1
31.975 * [taylor]: Taking taylor expansion of 0 in lambda2
31.975 * [taylor]: Taking taylor expansion of 0 in R
31.975 * [taylor]: Taking taylor expansion of 0 in lambda1
31.975 * [taylor]: Taking taylor expansion of 0 in lambda2
31.975 * [taylor]: Taking taylor expansion of 0 in R
31.975 * [taylor]: Taking taylor expansion of 0 in lambda2
31.975 * [taylor]: Taking taylor expansion of 0 in R
31.975 * [taylor]: Taking taylor expansion of 0 in lambda2
31.975 * [taylor]: Taking taylor expansion of 0 in R
31.976 * [taylor]: Taking taylor expansion of 0 in lambda2
31.976 * [taylor]: Taking taylor expansion of 0 in R
31.976 * [taylor]: Taking taylor expansion of 0 in R
31.976 * [taylor]: Taking taylor expansion of 0 in R
31.976 * [taylor]: Taking taylor expansion of 0 in R
31.976 * [taylor]: Taking taylor expansion of 0 in R
31.978 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
31.978 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
31.978 * [taylor]: Taking taylor expansion of -1 in R
31.978 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
31.978 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
31.978 * [taylor]: Taking taylor expansion of R in R
31.979 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
31.979 * [taylor]: Taking taylor expansion of -1 in lambda2
31.979 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
31.979 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.979 * [taylor]: Taking taylor expansion of R in lambda2
31.979 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
31.979 * [taylor]: Taking taylor expansion of -1 in lambda1
31.980 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
31.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.980 * [taylor]: Taking taylor expansion of R in lambda1
31.980 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
31.980 * [taylor]: Taking taylor expansion of -1 in phi2
31.980 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
31.980 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.981 * [taylor]: Taking taylor expansion of R in phi2
31.981 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
31.981 * [taylor]: Taking taylor expansion of -1 in phi1
31.981 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
31.981 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.981 * [taylor]: Taking taylor expansion of R in phi1
31.982 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
31.982 * [taylor]: Taking taylor expansion of -1 in phi1
31.982 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
31.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
31.982 * [taylor]: Taking taylor expansion of R in phi1
31.983 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
31.983 * [taylor]: Taking taylor expansion of -1 in phi2
31.983 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
31.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
31.983 * [taylor]: Taking taylor expansion of R in phi2
31.984 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
31.984 * [taylor]: Taking taylor expansion of -1 in lambda1
31.984 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
31.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
31.985 * [taylor]: Taking taylor expansion of R in lambda1
31.985 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
31.985 * [taylor]: Taking taylor expansion of -1 in lambda2
31.985 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
31.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
31.986 * [taylor]: Taking taylor expansion of R in lambda2
31.986 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
31.986 * [taylor]: Taking taylor expansion of -1 in R
31.986 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
31.987 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
31.987 * [taylor]: Taking taylor expansion of R in R
31.989 * [taylor]: Taking taylor expansion of 0 in phi2
31.989 * [taylor]: Taking taylor expansion of 0 in lambda1
31.989 * [taylor]: Taking taylor expansion of 0 in lambda2
31.989 * [taylor]: Taking taylor expansion of 0 in R
31.990 * [taylor]: Taking taylor expansion of 0 in lambda1
31.990 * [taylor]: Taking taylor expansion of 0 in lambda2
31.990 * [taylor]: Taking taylor expansion of 0 in R
31.990 * [taylor]: Taking taylor expansion of 0 in lambda2
31.991 * [taylor]: Taking taylor expansion of 0 in R
31.991 * [taylor]: Taking taylor expansion of 0 in R
31.993 * [taylor]: Taking taylor expansion of 0 in phi2
31.993 * [taylor]: Taking taylor expansion of 0 in lambda1
31.993 * [taylor]: Taking taylor expansion of 0 in lambda2
31.993 * [taylor]: Taking taylor expansion of 0 in R
31.993 * [taylor]: Taking taylor expansion of 0 in lambda1
31.993 * [taylor]: Taking taylor expansion of 0 in lambda2
31.993 * [taylor]: Taking taylor expansion of 0 in R
31.994 * [taylor]: Taking taylor expansion of 0 in lambda1
31.994 * [taylor]: Taking taylor expansion of 0 in lambda2
31.994 * [taylor]: Taking taylor expansion of 0 in R
31.994 * [taylor]: Taking taylor expansion of 0 in lambda2
31.994 * [taylor]: Taking taylor expansion of 0 in R
31.994 * [taylor]: Taking taylor expansion of 0 in lambda2
31.994 * [taylor]: Taking taylor expansion of 0 in R
31.995 * [taylor]: Taking taylor expansion of 0 in lambda2
31.995 * [taylor]: Taking taylor expansion of 0 in R
31.995 * [taylor]: Taking taylor expansion of 0 in R
31.995 * [taylor]: Taking taylor expansion of 0 in R
31.995 * [taylor]: Taking taylor expansion of 0 in R
31.996 * [taylor]: Taking taylor expansion of 0 in R
31.997 * * * [progress]: simplifying candidates
31.998 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2))))))
  (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))
  (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))
  (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))
  (log 1)
  (log (exp (* (sin lambda1) (sin lambda2))))
  (log (exp (sin lambda1)))
  (log (exp (* (sin lambda1) (sin lambda2))))
  (log (exp (sin lambda1)))
  (log (log (exp (* (sin lambda1) (sin lambda2)))))
  (exp (log (exp (* (sin lambda1) (sin lambda2)))))
  (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))))
  (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))
  (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2)))))
  (sqrt (log (exp (* (sin lambda1) (sin lambda2)))))
  (sqrt (log (exp (* (sin lambda1) (sin lambda2)))))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (* (sin lambda1) (sin lambda2))
  (+ (log (sin lambda1)) (log (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (* (sin lambda1) 1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
  (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R))
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 1)
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
32.004 * * [simplify]: iteration  0 :  214  enodes  (cost  980 )
32.008 * * [simplify]: iteration  1 :  628  enodes  (cost  826 )
32.019 * * [simplify]: iteration  2 :  1442  enodes  (cost  826 )
32.035 * * [simplify]: iteration  3 :  2524  enodes  (cost  826 )
32.061 * * [simplify]: iteration  4 :  5001  enodes  (cost  826 )
32.065 * [simplify]: Simplified to:
   (* 2 (log (cbrt (exp (* (sin lambda1) (sin lambda2))))))
  (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))
  (log (pow (exp (* (sin lambda1) (sin lambda2))) 1/2))
  (log (pow (exp (* (sin lambda1) (sin lambda2))) 1/2))
  0
  (* (sin lambda1) (sin lambda2))
  (sin lambda1)
  (* (sin lambda1) (sin lambda2))
  (sin lambda1)
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 3)
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (* (sin lambda1) (sin lambda2))
  (log (* (sin lambda1) (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2))))
  (cbrt (* (sin lambda1) (sin lambda2)))
  (pow (* (sin lambda1) (sin lambda2)) 3)
  (sqrt (* (sin lambda1) (sin lambda2)))
  (sqrt (* (sin lambda1) (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (sin lambda1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 3)
  (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)))
  (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 3)
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R)))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R)
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)
32.065 * * * [progress]: adding candidates to table
32.142 * [progress]: [Phase 3 of 3] Extracting.
32.142 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
32.156 * * * [regime-changes]: Trying 9 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) phi2 phi1 lambda2 lambda1 R)
32.156 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
32.307 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
32.382 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
32.533 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
32.608 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
32.778 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>)
32.862 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
33.038 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))>)
33.126 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
33.274 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
33.425 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
33.575 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
33.724 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (exp (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (cbrt (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (* (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))))))) R))>)
33.871 * * * [regime]: Found split indices: #<option (#s(si 8 255))>
33.871 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
33.872 * * [simplify]: iteration  0 :  32  enodes  (cost  19 )
33.872 * * [simplify]: iteration  1 :  32  enodes  (cost  19 )
33.872 * [simplify]: Simplified to:
   (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
76.551 * [regime-testing]: End program error score: 3.7230815403800404