0.505 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.676 * * * [progress]: [2/2] Setting up program.
0.692 * [progress]: [Phase 2 of 3] Improving.
0.695 * [simplify]: Simplifying:
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.695 * * [simplify]: iteration 0: 17 enodes
0.702 * * [simplify]: iteration 1: 26 enodes
0.706 * * [simplify]: iteration 2: 33 enodes
0.710 * * [simplify]: iteration 3: 34 enodes
0.714 * * [simplify]: iteration complete: 34 enodes
0.715 * * [simplify]: Extracting #0: cost 1 inf + 0
0.715 * * [simplify]: Extracting #1: cost 3 inf + 0
0.715 * * [simplify]: Extracting #2: cost 3 inf + 1
0.715 * * [simplify]: Extracting #3: cost 5 inf + 1
0.715 * * [simplify]: Extracting #4: cost 13 inf + 1
0.715 * * [simplify]: Extracting #5: cost 16 inf + 1
0.715 * * [simplify]: Extracting #6: cost 15 inf + 125
0.716 * * [simplify]: Extracting #7: cost 10 inf + 411
0.716 * * [simplify]: Extracting #8: cost 5 inf + 961
0.716 * * [simplify]: Extracting #9: cost 2 inf + 1972
0.716 * * [simplify]: Extracting #10: cost 0 inf + 3201
0.717 * [simplify]: Simplified to:
  (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))
0.718 * * [progress]: iteration 1 / 4
0.718 * * * [progress]: picking best candidate
0.731 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
0.731 * * * [progress]: localizing error
0.823 * * * [progress]: generating rewritten candidates
0.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.844 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.859 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
0.874 * * * [progress]: generating series expansions
0.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.877 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
0.877 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
0.878 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
0.878 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
0.878 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.878 * [backup-simplify]: Simplify lambda1 into lambda1
0.878 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.878 * [backup-simplify]: Simplify 0 into 0
0.878 * [backup-simplify]: Simplify 1 into 1
0.879 * [backup-simplify]: Simplify (- 0) into 0
0.879 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
0.879 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
0.879 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
0.879 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.879 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.879 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.879 * [backup-simplify]: Simplify lambda2 into lambda2
0.879 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
0.879 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
0.879 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
0.879 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
0.879 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.879 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.879 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.879 * [backup-simplify]: Simplify 0 into 0
0.879 * [backup-simplify]: Simplify 1 into 1
0.879 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.879 * [backup-simplify]: Simplify lambda2 into lambda2
0.879 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
0.879 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
0.879 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
0.879 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
0.881 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
0.881 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
0.881 * [backup-simplify]: Simplify (- 0) into 0
0.881 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
0.882 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.882 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.882 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.882 * [backup-simplify]: Simplify 0 into 0
0.882 * [backup-simplify]: Simplify 1 into 1
0.882 * [backup-simplify]: Simplify (- 0) into 0
0.882 * [backup-simplify]: Simplify (- 1) into -1
0.882 * [backup-simplify]: Simplify 1 into 1
0.883 * [backup-simplify]: Simplify (+ 0) into 0
0.883 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
0.884 * [backup-simplify]: Simplify (- 0) into 0
0.884 * [backup-simplify]: Simplify (+ 1 0) into 1
0.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.885 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
0.885 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
0.885 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
0.885 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
0.885 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
0.885 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.885 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.885 * [backup-simplify]: Simplify 0 into 0
0.885 * [backup-simplify]: Simplify 1 into 1
0.885 * [backup-simplify]: Simplify (- 0) into 0
0.886 * [backup-simplify]: Simplify (- 1) into -1
0.886 * [backup-simplify]: Simplify (- 0) into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.886 * [backup-simplify]: Simplify (+ 0) into 0
0.886 * [backup-simplify]: Simplify 0 into 0
0.887 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.888 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
0.888 * [backup-simplify]: Simplify (- 0) into 0
0.888 * [backup-simplify]: Simplify (+ 0 0) into 0
0.889 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.889 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
0.889 * [backup-simplify]: Simplify (- 0) into 0
0.889 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
0.889 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
0.889 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
0.889 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.889 * [backup-simplify]: Simplify 1/2 into 1/2
0.889 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.889 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.890 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.890 * [backup-simplify]: Simplify 0 into 0
0.890 * [backup-simplify]: Simplify 1 into 1
0.890 * [backup-simplify]: Simplify (- 0) into 0
0.890 * [backup-simplify]: Simplify (- 1) into -1
0.890 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.891 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.891 * [backup-simplify]: Simplify -1/2 into -1/2
0.891 * [backup-simplify]: Simplify (- 1) into -1
0.891 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1
0.892 * [backup-simplify]: Simplify (- -1) into 1
0.892 * [backup-simplify]: Simplify 1 into 1
0.892 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
0.892 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.892 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
0.892 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.892 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.892 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.893 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.893 * [backup-simplify]: Simplify lambda1 into lambda1
0.893 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.893 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.893 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.893 * [backup-simplify]: Simplify 0 into 0
0.893 * [backup-simplify]: Simplify 1 into 1
0.893 * [backup-simplify]: Simplify (/ 1 1) into 1
0.893 * [backup-simplify]: Simplify (- 1) into -1
0.894 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.894 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.894 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.894 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.894 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.894 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.894 * [backup-simplify]: Simplify 0 into 0
0.894 * [backup-simplify]: Simplify 1 into 1
0.894 * [backup-simplify]: Simplify (/ 1 1) into 1
0.894 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.894 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.894 * [backup-simplify]: Simplify lambda2 into lambda2
0.894 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.895 * [backup-simplify]: Simplify (+ 1 0) into 1
0.895 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.895 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.895 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.895 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.895 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.895 * [backup-simplify]: Simplify 0 into 0
0.895 * [backup-simplify]: Simplify 1 into 1
0.895 * [backup-simplify]: Simplify (/ 1 1) into 1
0.895 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.895 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.895 * [backup-simplify]: Simplify lambda2 into lambda2
0.895 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.896 * [backup-simplify]: Simplify (+ 1 0) into 1
0.896 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.896 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.896 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.896 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.896 * [backup-simplify]: Simplify lambda1 into lambda1
0.896 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.896 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.896 * [backup-simplify]: Simplify 0 into 0
0.896 * [backup-simplify]: Simplify 1 into 1
0.896 * [backup-simplify]: Simplify (/ 1 1) into 1
0.896 * [backup-simplify]: Simplify (- 1) into -1
0.897 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.897 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.897 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.897 * [taylor]: Taking taylor expansion of 0 in lambda2
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [taylor]: Taking taylor expansion of 0 in lambda2
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [taylor]: Taking taylor expansion of 0 in lambda2
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify 0 into 0
0.897 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
0.898 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.898 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
0.898 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.898 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.898 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.898 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.898 * [backup-simplify]: Simplify 0 into 0
0.898 * [backup-simplify]: Simplify 1 into 1
0.898 * [backup-simplify]: Simplify (/ 1 1) into 1
0.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.898 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.898 * [backup-simplify]: Simplify lambda1 into lambda1
0.898 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.899 * [backup-simplify]: Simplify (+ 1 0) into 1
0.899 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.899 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.899 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.899 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.899 * [backup-simplify]: Simplify lambda2 into lambda2
0.899 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.899 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.899 * [backup-simplify]: Simplify 0 into 0
0.899 * [backup-simplify]: Simplify 1 into 1
0.900 * [backup-simplify]: Simplify (/ 1 1) into 1
0.900 * [backup-simplify]: Simplify (- 1) into -1
0.900 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.900 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.901 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.901 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.901 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.901 * [backup-simplify]: Simplify lambda2 into lambda2
0.901 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.901 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.901 * [backup-simplify]: Simplify 0 into 0
0.901 * [backup-simplify]: Simplify 1 into 1
0.901 * [backup-simplify]: Simplify (/ 1 1) into 1
0.902 * [backup-simplify]: Simplify (- 1) into -1
0.902 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.902 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.902 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.902 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.902 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.903 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.903 * [backup-simplify]: Simplify 0 into 0
0.903 * [backup-simplify]: Simplify 1 into 1
0.903 * [backup-simplify]: Simplify (/ 1 1) into 1
0.903 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.903 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.903 * [backup-simplify]: Simplify lambda1 into lambda1
0.903 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.904 * [backup-simplify]: Simplify (+ 1 0) into 1
0.904 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.904 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.904 * [taylor]: Taking taylor expansion of 0 in lambda2
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [taylor]: Taking taylor expansion of 0 in lambda2
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [taylor]: Taking taylor expansion of 0 in lambda2
0.904 * [backup-simplify]: Simplify 0 into 0
0.904 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
0.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.905 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.905 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0
0.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.907 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.907 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.908 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.908 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.908 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.908 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.909 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.909 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.910 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.910 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.911 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.911 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.911 * [taylor]: Taking taylor expansion of 0 in phi2
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [taylor]: Taking taylor expansion of 0 in lambda1
0.911 * [backup-simplify]: Simplify 0 into 0
0.911 * [taylor]: Taking taylor expansion of 0 in lambda2
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda1
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda2
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda2
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in phi2
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda1
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda2
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda1
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [taylor]: Taking taylor expansion of 0 in lambda2
0.912 * [backup-simplify]: Simplify 0 into 0
0.912 * [backup-simplify]: Simplify 0 into 0
0.913 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.913 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.913 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0
0.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.914 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.914 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.915 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.915 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.915 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.915 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.916 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.916 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.916 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.917 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.917 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.917 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.918 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.918 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.918 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.919 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.919 * [taylor]: Taking taylor expansion of 0 in phi2
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [taylor]: Taking taylor expansion of 0 in lambda1
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [taylor]: Taking taylor expansion of 0 in lambda2
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [taylor]: Taking taylor expansion of 0 in lambda1
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [taylor]: Taking taylor expansion of 0 in lambda2
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [taylor]: Taking taylor expansion of 0 in lambda2
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.919 * [backup-simplify]: Simplify 0 into 0
0.920 * [taylor]: Taking taylor expansion of 0 in phi2
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [taylor]: Taking taylor expansion of 0 in lambda1
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [taylor]: Taking taylor expansion of 0 in lambda2
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [taylor]: Taking taylor expansion of 0 in lambda1
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [taylor]: Taking taylor expansion of 0 in lambda2
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify 0 into 0
0.920 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.921 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.921 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0
0.921 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.922 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.922 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.923 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.924 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.924 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.925 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.925 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.926 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.926 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.926 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.927 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.927 * [taylor]: Taking taylor expansion of 0 in phi2
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [taylor]: Taking taylor expansion of 0 in lambda1
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [taylor]: Taking taylor expansion of 0 in lambda2
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [taylor]: Taking taylor expansion of 0 in lambda1
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [taylor]: Taking taylor expansion of 0 in lambda2
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [taylor]: Taking taylor expansion of 0 in lambda2
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.927 * [backup-simplify]: Simplify 0 into 0
0.928 * [taylor]: Taking taylor expansion of 0 in phi2
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [taylor]: Taking taylor expansion of 0 in lambda1
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [taylor]: Taking taylor expansion of 0 in lambda2
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [taylor]: Taking taylor expansion of 0 in lambda1
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [taylor]: Taking taylor expansion of 0 in lambda2
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 0 into 0
0.929 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.929 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.929 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.929 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.929 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
0.930 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.930 * [taylor]: Taking taylor expansion of R in R
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify 1 into 1
0.930 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.930 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.930 * [taylor]: Taking taylor expansion of R in lambda2
0.930 * [backup-simplify]: Simplify R into R
0.930 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.931 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.931 * [taylor]: Taking taylor expansion of R in lambda1
0.931 * [backup-simplify]: Simplify R into R
0.931 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.931 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.931 * [taylor]: Taking taylor expansion of R in phi2
0.931 * [backup-simplify]: Simplify R into R
0.931 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.932 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.932 * [taylor]: Taking taylor expansion of R in phi1
0.932 * [backup-simplify]: Simplify R into R
0.932 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1
0.932 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1
0.932 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.932 * [taylor]: Taking taylor expansion of R in phi1
0.932 * [backup-simplify]: Simplify R into R
0.933 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.933 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2
0.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2
0.933 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.933 * [taylor]: Taking taylor expansion of R in phi2
0.933 * [backup-simplify]: Simplify R into R
0.934 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.934 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1
0.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1
0.934 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.934 * [taylor]: Taking taylor expansion of R in lambda1
0.934 * [backup-simplify]: Simplify R into R
0.935 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.935 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2
0.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2
0.935 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.935 * [taylor]: Taking taylor expansion of R in lambda2
0.935 * [backup-simplify]: Simplify R into R
0.936 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.936 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R
0.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R
0.936 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.936 * [taylor]: Taking taylor expansion of R in R
0.936 * [backup-simplify]: Simplify 0 into 0
0.936 * [backup-simplify]: Simplify 1 into 1
0.937 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.937 * [taylor]: Taking taylor expansion of 0 in phi2
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [taylor]: Taking taylor expansion of 0 in lambda1
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [taylor]: Taking taylor expansion of 0 in lambda2
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [taylor]: Taking taylor expansion of 0 in R
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.938 * [taylor]: Taking taylor expansion of 0 in lambda1
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [taylor]: Taking taylor expansion of 0 in lambda2
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [taylor]: Taking taylor expansion of 0 in R
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify 0 into 0
0.938 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.939 * [taylor]: Taking taylor expansion of 0 in lambda2
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [taylor]: Taking taylor expansion of 0 in R
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0
0.939 * [taylor]: Taking taylor expansion of 0 in R
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.941 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
0.942 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
0.942 * [taylor]: Taking taylor expansion of 0 in phi2
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in lambda1
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in lambda2
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in R
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in lambda1
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in lambda2
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [taylor]: Taking taylor expansion of 0 in R
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.951 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
0.951 * [taylor]: Taking taylor expansion of 0 in lambda1
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [taylor]: Taking taylor expansion of 0 in lambda2
0.951 * [backup-simplify]: Simplify 0 into 0
0.951 * [taylor]: Taking taylor expansion of 0 in R
0.951 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [taylor]: Taking taylor expansion of 0 in lambda2
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [taylor]: Taking taylor expansion of 0 in R
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [taylor]: Taking taylor expansion of 0 in lambda2
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [taylor]: Taking taylor expansion of 0 in R
0.952 * [backup-simplify]: Simplify 0 into 0
0.952 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0
0.953 * [taylor]: Taking taylor expansion of 0 in lambda2
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [taylor]: Taking taylor expansion of 0 in R
0.953 * [backup-simplify]: Simplify 0 into 0
0.953 * [backup-simplify]: Simplify 0 into 0
0.954 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.955 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.955 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.955 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
0.955 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
0.955 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.956 * [taylor]: Taking taylor expansion of R in R
0.956 * [backup-simplify]: Simplify 0 into 0
0.956 * [backup-simplify]: Simplify 1 into 1
0.956 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.956 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
0.956 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.957 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.957 * [taylor]: Taking taylor expansion of R in lambda2
0.957 * [backup-simplify]: Simplify R into R
0.957 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.957 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
0.957 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.958 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.958 * [taylor]: Taking taylor expansion of R in lambda1
0.958 * [backup-simplify]: Simplify R into R
0.958 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.958 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
0.958 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.958 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.958 * [taylor]: Taking taylor expansion of R in phi2
0.958 * [backup-simplify]: Simplify R into R
0.959 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.959 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
0.959 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.959 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.959 * [taylor]: Taking taylor expansion of R in phi1
0.959 * [backup-simplify]: Simplify R into R
0.960 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.960 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1
0.960 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1
0.960 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.960 * [taylor]: Taking taylor expansion of R in phi1
0.960 * [backup-simplify]: Simplify R into R
0.960 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.960 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2
0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2
0.961 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.961 * [taylor]: Taking taylor expansion of R in phi2
0.961 * [backup-simplify]: Simplify R into R
0.961 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.961 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1
0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1
0.962 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.962 * [taylor]: Taking taylor expansion of R in lambda1
0.962 * [backup-simplify]: Simplify R into R
0.962 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.962 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2
0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2
0.962 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.962 * [taylor]: Taking taylor expansion of R in lambda2
0.962 * [backup-simplify]: Simplify R into R
0.963 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R)
0.963 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R
0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R
0.963 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.963 * [taylor]: Taking taylor expansion of R in R
0.963 * [backup-simplify]: Simplify 0 into 0
0.963 * [backup-simplify]: Simplify 1 into 1
0.963 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.964 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))))
0.964 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.964 * [taylor]: Taking taylor expansion of 0 in phi2
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [taylor]: Taking taylor expansion of 0 in lambda1
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [taylor]: Taking taylor expansion of 0 in lambda2
0.964 * [backup-simplify]: Simplify 0 into 0
0.964 * [taylor]: Taking taylor expansion of 0 in R
0.964 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.965 * [taylor]: Taking taylor expansion of 0 in lambda1
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [taylor]: Taking taylor expansion of 0 in lambda2
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [taylor]: Taking taylor expansion of 0 in R
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.965 * [taylor]: Taking taylor expansion of 0 in lambda2
0.965 * [backup-simplify]: Simplify 0 into 0
0.965 * [taylor]: Taking taylor expansion of 0 in R
0.965 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0
0.966 * [taylor]: Taking taylor expansion of 0 in R
0.966 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0
0.967 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.968 * [taylor]: Taking taylor expansion of 0 in phi2
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in lambda1
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in lambda2
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in R
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in lambda1
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in lambda2
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [taylor]: Taking taylor expansion of 0 in R
0.968 * [backup-simplify]: Simplify 0 into 0
0.968 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.968 * [taylor]: Taking taylor expansion of 0 in lambda1
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in lambda2
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in lambda2
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in lambda2
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.969 * [taylor]: Taking taylor expansion of 0 in lambda2
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.969 * [taylor]: Taking taylor expansion of 0 in R
0.969 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.970 * [taylor]: Taking taylor expansion of 0 in R
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 0 into 0
0.970 * [backup-simplify]: Simplify 0 into 0
0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.971 * [backup-simplify]: Simplify 0 into 0
0.972 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
0.973 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.973 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
0.973 * [taylor]: Taking taylor expansion of -1 in R
0.973 * [backup-simplify]: Simplify -1 into -1
0.973 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
0.973 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
0.973 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.973 * [taylor]: Taking taylor expansion of R in R
0.973 * [backup-simplify]: Simplify 0 into 0
0.973 * [backup-simplify]: Simplify 1 into 1
0.973 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
0.973 * [taylor]: Taking taylor expansion of -1 in lambda2
0.973 * [backup-simplify]: Simplify -1 into -1
0.973 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
0.973 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.974 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.974 * [taylor]: Taking taylor expansion of R in lambda2
0.974 * [backup-simplify]: Simplify R into R
0.974 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.974 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
0.974 * [taylor]: Taking taylor expansion of -1 in lambda1
0.974 * [backup-simplify]: Simplify -1 into -1
0.974 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
0.974 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.974 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.974 * [taylor]: Taking taylor expansion of R in lambda1
0.975 * [backup-simplify]: Simplify R into R
0.975 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.975 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
0.975 * [taylor]: Taking taylor expansion of -1 in phi2
0.975 * [backup-simplify]: Simplify -1 into -1
0.975 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
0.975 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.975 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.975 * [taylor]: Taking taylor expansion of R in phi2
0.975 * [backup-simplify]: Simplify R into R
0.976 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.976 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
0.976 * [taylor]: Taking taylor expansion of -1 in phi1
0.976 * [backup-simplify]: Simplify -1 into -1
0.976 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.976 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.976 * [taylor]: Taking taylor expansion of R in phi1
0.976 * [backup-simplify]: Simplify R into R
0.976 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.976 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1
0.976 * [taylor]: Taking taylor expansion of -1 in phi1
0.976 * [backup-simplify]: Simplify -1 into -1
0.976 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1
0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1
0.977 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.977 * [taylor]: Taking taylor expansion of R in phi1
0.977 * [backup-simplify]: Simplify R into R
0.977 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.977 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.977 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2
0.977 * [taylor]: Taking taylor expansion of -1 in phi2
0.978 * [backup-simplify]: Simplify -1 into -1
0.978 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2
0.978 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2
0.978 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.978 * [taylor]: Taking taylor expansion of R in phi2
0.978 * [backup-simplify]: Simplify R into R
0.978 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.979 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.979 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1
0.979 * [taylor]: Taking taylor expansion of -1 in lambda1
0.979 * [backup-simplify]: Simplify -1 into -1
0.979 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1
0.979 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1
0.979 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.979 * [taylor]: Taking taylor expansion of R in lambda1
0.979 * [backup-simplify]: Simplify R into R
0.979 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.980 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.980 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2
0.980 * [taylor]: Taking taylor expansion of -1 in lambda2
0.980 * [backup-simplify]: Simplify -1 into -1
0.980 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2
0.980 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2
0.980 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.980 * [taylor]: Taking taylor expansion of R in lambda2
0.980 * [backup-simplify]: Simplify R into R
0.980 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)
0.981 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))
0.981 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R
0.981 * [taylor]: Taking taylor expansion of -1 in R
0.981 * [backup-simplify]: Simplify -1 into -1
0.981 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R
0.981 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R
0.981 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.981 * [taylor]: Taking taylor expansion of R in R
0.981 * [backup-simplify]: Simplify 0 into 0
0.981 * [backup-simplify]: Simplify 1 into 1
0.981 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))
0.982 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
0.982 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))
0.982 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.983 * [taylor]: Taking taylor expansion of 0 in phi2
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [taylor]: Taking taylor expansion of 0 in lambda1
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [taylor]: Taking taylor expansion of 0 in lambda2
0.983 * [backup-simplify]: Simplify 0 into 0
0.983 * [taylor]: Taking taylor expansion of 0 in R
0.983 * [backup-simplify]: Simplify 0 into 0
0.984 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.985 * [taylor]: Taking taylor expansion of 0 in lambda1
0.985 * [backup-simplify]: Simplify 0 into 0
0.985 * [taylor]: Taking taylor expansion of 0 in lambda2
0.985 * [backup-simplify]: Simplify 0 into 0
0.985 * [taylor]: Taking taylor expansion of 0 in R
0.985 * [backup-simplify]: Simplify 0 into 0
0.985 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.986 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.986 * [taylor]: Taking taylor expansion of 0 in lambda2
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [taylor]: Taking taylor expansion of 0 in R
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0
0.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0
0.987 * [taylor]: Taking taylor expansion of 0 in R
0.987 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0
0.989 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0
0.989 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.990 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.990 * [taylor]: Taking taylor expansion of 0 in phi2
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [taylor]: Taking taylor expansion of 0 in lambda1
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [taylor]: Taking taylor expansion of 0 in lambda2
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [taylor]: Taking taylor expansion of 0 in R
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [taylor]: Taking taylor expansion of 0 in lambda1
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [taylor]: Taking taylor expansion of 0 in lambda2
0.990 * [backup-simplify]: Simplify 0 into 0
0.990 * [taylor]: Taking taylor expansion of 0 in R
0.990 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.992 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.992 * [taylor]: Taking taylor expansion of 0 in lambda1
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in lambda2
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in R
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in lambda2
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in R
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in lambda2
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in R
0.992 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.993 * [taylor]: Taking taylor expansion of 0 in lambda2
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [taylor]: Taking taylor expansion of 0 in R
0.993 * [backup-simplify]: Simplify 0 into 0
0.993 * [taylor]: Taking taylor expansion of 0 in R
0.993 * [backup-simplify]: Simplify 0 into 0
0.994 * [taylor]: Taking taylor expansion of 0 in R
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [taylor]: Taking taylor expansion of 0 in R
0.994 * [backup-simplify]: Simplify 0 into 0
0.994 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
0.996 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0
0.996 * [taylor]: Taking taylor expansion of 0 in R
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 0 into 0
0.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0
1.000 * [backup-simplify]: Simplify 0 into 0
1.001 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
1.001 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
1.002 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
1.002 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
1.002 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
1.002 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
1.002 * [taylor]: Taking taylor expansion of phi1 in phi2
1.002 * [backup-simplify]: Simplify phi1 into phi1
1.002 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.002 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.002 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.002 * [taylor]: Taking taylor expansion of phi2 in phi2
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 1 into 1
1.002 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.002 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.002 * [taylor]: Taking taylor expansion of phi1 in phi1
1.002 * [backup-simplify]: Simplify 0 into 0
1.002 * [backup-simplify]: Simplify 1 into 1
1.002 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.002 * [taylor]: Taking taylor expansion of phi2 in phi1
1.002 * [backup-simplify]: Simplify phi2 into phi2
1.002 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.002 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.002 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.002 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.002 * [taylor]: Taking taylor expansion of phi1 in phi1
1.002 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify 1 into 1
1.003 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.003 * [taylor]: Taking taylor expansion of phi2 in phi1
1.003 * [backup-simplify]: Simplify phi2 into phi2
1.003 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.003 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.003 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
1.003 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
1.003 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
1.003 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
1.003 * [taylor]: Taking taylor expansion of 0 in phi2
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify (+ 0) into 0
1.005 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
1.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.006 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
1.007 * [backup-simplify]: Simplify (+ 0 0) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
1.008 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.008 * [taylor]: Taking taylor expansion of phi2 in phi2
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 1 into 1
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.010 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
1.011 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.012 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
1.012 * [backup-simplify]: Simplify (+ 0 0) into 0
1.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
1.014 * [taylor]: Taking taylor expansion of 0 in phi2
1.014 * [backup-simplify]: Simplify 0 into 0
1.014 * [backup-simplify]: Simplify 0 into 0
1.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.014 * [backup-simplify]: Simplify 1 into 1
1.015 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.017 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.018 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.019 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.019 * [backup-simplify]: Simplify (+ 0 0) into 0
1.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
1.022 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
1.022 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
1.022 * [taylor]: Taking taylor expansion of 1/6 in phi2
1.022 * [backup-simplify]: Simplify 1/6 into 1/6
1.022 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.022 * [taylor]: Taking taylor expansion of phi2 in phi2
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 1 into 1
1.023 * [backup-simplify]: Simplify (* 1/6 0) into 0
1.023 * [backup-simplify]: Simplify (- 0) into 0
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.024 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
1.028 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.029 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.030 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.030 * [backup-simplify]: Simplify (+ 0 0) into 0
1.032 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
1.033 * [taylor]: Taking taylor expansion of 0 in phi2
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
1.034 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.034 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
1.034 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
1.034 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.034 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.034 * [taylor]: Taking taylor expansion of phi2 in phi2
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify 1 into 1
1.034 * [backup-simplify]: Simplify (/ 1 1) into 1
1.034 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.035 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.035 * [taylor]: Taking taylor expansion of phi1 in phi2
1.035 * [backup-simplify]: Simplify phi1 into phi1
1.035 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.035 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.035 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.035 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.035 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.035 * [taylor]: Taking taylor expansion of phi2 in phi1
1.035 * [backup-simplify]: Simplify phi2 into phi2
1.035 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.035 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.035 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.035 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.035 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.035 * [taylor]: Taking taylor expansion of phi1 in phi1
1.035 * [backup-simplify]: Simplify 0 into 0
1.035 * [backup-simplify]: Simplify 1 into 1
1.036 * [backup-simplify]: Simplify (/ 1 1) into 1
1.036 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
1.036 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.036 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.036 * [taylor]: Taking taylor expansion of phi2 in phi1
1.036 * [backup-simplify]: Simplify phi2 into phi2
1.036 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.036 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.036 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.036 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.036 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.036 * [taylor]: Taking taylor expansion of phi1 in phi1
1.036 * [backup-simplify]: Simplify 0 into 0
1.036 * [backup-simplify]: Simplify 1 into 1
1.037 * [backup-simplify]: Simplify (/ 1 1) into 1
1.037 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.037 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
1.037 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
1.037 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
1.038 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.038 * [taylor]: Taking taylor expansion of phi2 in phi2
1.038 * [backup-simplify]: Simplify 0 into 0
1.038 * [backup-simplify]: Simplify 1 into 1
1.038 * [backup-simplify]: Simplify (/ 1 1) into 1
1.038 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.038 * [taylor]: Taking taylor expansion of phi1 in phi2
1.038 * [backup-simplify]: Simplify phi1 into phi1
1.038 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.039 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.039 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.039 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
1.039 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
1.039 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
1.039 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.040 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
1.040 * [backup-simplify]: Simplify (+ 0) into 0
1.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
1.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.042 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.042 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
1.043 * [backup-simplify]: Simplify (+ 0 0) into 0
1.043 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
1.043 * [taylor]: Taking taylor expansion of 0 in phi2
1.043 * [backup-simplify]: Simplify 0 into 0
1.043 * [backup-simplify]: Simplify 0 into 0
1.043 * [backup-simplify]: Simplify (+ 0) into 0
1.044 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
1.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
1.046 * [backup-simplify]: Simplify (+ 0 0) into 0
1.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
1.046 * [backup-simplify]: Simplify 0 into 0
1.047 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.048 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.049 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.049 * [backup-simplify]: Simplify (+ 0 0) into 0
1.050 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
1.050 * [taylor]: Taking taylor expansion of 0 in phi2
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify 0 into 0
1.050 * [backup-simplify]: Simplify 0 into 0
1.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.052 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.053 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.053 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.054 * [backup-simplify]: Simplify (+ 0 0) into 0
1.054 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
1.054 * [backup-simplify]: Simplify 0 into 0
1.055 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.056 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.058 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.059 * [backup-simplify]: Simplify (+ 0 0) into 0
1.060 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
1.060 * [taylor]: Taking taylor expansion of 0 in phi2
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
1.060 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.060 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
1.060 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.060 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.060 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.060 * [taylor]: Taking taylor expansion of -1 in phi2
1.060 * [backup-simplify]: Simplify -1 into -1
1.060 * [taylor]: Taking taylor expansion of phi1 in phi2
1.060 * [backup-simplify]: Simplify phi1 into phi1
1.061 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.061 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.061 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.061 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.061 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.061 * [taylor]: Taking taylor expansion of -1 in phi2
1.061 * [backup-simplify]: Simplify -1 into -1
1.061 * [taylor]: Taking taylor expansion of phi2 in phi2
1.061 * [backup-simplify]: Simplify 0 into 0
1.061 * [backup-simplify]: Simplify 1 into 1
1.061 * [backup-simplify]: Simplify (/ -1 1) into -1
1.062 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.062 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.062 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.062 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.062 * [taylor]: Taking taylor expansion of -1 in phi1
1.062 * [backup-simplify]: Simplify -1 into -1
1.062 * [taylor]: Taking taylor expansion of phi1 in phi1
1.062 * [backup-simplify]: Simplify 0 into 0
1.062 * [backup-simplify]: Simplify 1 into 1
1.062 * [backup-simplify]: Simplify (/ -1 1) into -1
1.062 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.062 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.062 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.062 * [taylor]: Taking taylor expansion of -1 in phi1
1.062 * [backup-simplify]: Simplify -1 into -1
1.062 * [taylor]: Taking taylor expansion of phi2 in phi1
1.062 * [backup-simplify]: Simplify phi2 into phi2
1.063 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.063 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.063 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.063 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.063 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.063 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.063 * [taylor]: Taking taylor expansion of -1 in phi1
1.063 * [backup-simplify]: Simplify -1 into -1
1.063 * [taylor]: Taking taylor expansion of phi1 in phi1
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [backup-simplify]: Simplify 1 into 1
1.063 * [backup-simplify]: Simplify (/ -1 1) into -1
1.063 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.063 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.063 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.063 * [taylor]: Taking taylor expansion of -1 in phi1
1.064 * [backup-simplify]: Simplify -1 into -1
1.064 * [taylor]: Taking taylor expansion of phi2 in phi1
1.064 * [backup-simplify]: Simplify phi2 into phi2
1.064 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.064 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.064 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.064 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
1.064 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
1.064 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
1.064 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.064 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.064 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.064 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.064 * [taylor]: Taking taylor expansion of -1 in phi2
1.064 * [backup-simplify]: Simplify -1 into -1
1.065 * [taylor]: Taking taylor expansion of phi1 in phi2
1.065 * [backup-simplify]: Simplify phi1 into phi1
1.065 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.065 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.065 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.065 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.065 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.065 * [taylor]: Taking taylor expansion of -1 in phi2
1.065 * [backup-simplify]: Simplify -1 into -1
1.065 * [taylor]: Taking taylor expansion of phi2 in phi2
1.065 * [backup-simplify]: Simplify 0 into 0
1.065 * [backup-simplify]: Simplify 1 into 1
1.065 * [backup-simplify]: Simplify (/ -1 1) into -1
1.066 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.066 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
1.066 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
1.066 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
1.066 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.066 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.067 * [backup-simplify]: Simplify (+ 0) into 0
1.067 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
1.067 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
1.069 * [backup-simplify]: Simplify (+ 0 0) into 0
1.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.069 * [taylor]: Taking taylor expansion of 0 in phi2
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.070 * [backup-simplify]: Simplify (+ 0) into 0
1.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
1.070 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
1.072 * [backup-simplify]: Simplify (+ 0 0) into 0
1.072 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.072 * [backup-simplify]: Simplify 0 into 0
1.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.074 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.074 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.075 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.076 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.076 * [backup-simplify]: Simplify (+ 0 0) into 0
1.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.077 * [taylor]: Taking taylor expansion of 0 in phi2
1.077 * [backup-simplify]: Simplify 0 into 0
1.077 * [backup-simplify]: Simplify 0 into 0
1.077 * [backup-simplify]: Simplify 0 into 0
1.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.079 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.080 * [backup-simplify]: Simplify (+ 0 0) into 0
1.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.081 * [backup-simplify]: Simplify 0 into 0
1.082 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.083 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.086 * [backup-simplify]: Simplify (+ 0 0) into 0
1.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
1.087 * [taylor]: Taking taylor expansion of 0 in phi2
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
1.087 * * * [progress]: simplifying candidates
1.092 * [simplify]: Simplifying:
  (* (cos lambda1) (cos (- lambda2)))
  (* (sin lambda1) (sin (- lambda2)))
  (* (cos lambda1) (cos (- lambda2)))
  (* (sin lambda1) (sin (- 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 (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
  (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
  (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2))))
  (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
  (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
  (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R)
  (* phi1 phi2)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
1.095 * * [simplify]: iteration 0: 111 enodes
1.126 * * [simplify]: iteration 1: 208 enodes
1.183 * * [simplify]: iteration 2: 460 enodes
1.385 * * [simplify]: iteration 3: 1111 enodes
2.130 * * [simplify]: iteration 4: 2877 enodes
3.802 * * [simplify]: iteration complete: 5003 enodes
3.803 * * [simplify]: Extracting #0: cost 47 inf + 0
3.804 * * [simplify]: Extracting #1: cost 359 inf + 0
3.810 * * [simplify]: Extracting #2: cost 843 inf + 2562
3.824 * * [simplify]: Extracting #3: cost 837 inf + 31614
3.862 * * [simplify]: Extracting #4: cost 527 inf + 104525
3.907 * * [simplify]: Extracting #5: cost 387 inf + 131742
3.962 * * [simplify]: Extracting #6: cost 192 inf + 269577
4.067 * * [simplify]: Extracting #7: cost 19 inf + 398773
4.180 * * [simplify]: Extracting #8: cost 0 inf + 412985
4.296 * [simplify]: Simplified to:
  (* (cos lambda1) (cos lambda2))
  (* (sin (- lambda2)) (sin lambda1))
  (* (cos lambda1) (cos lambda2))
  (* (sin (- lambda2)) (sin lambda1))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda2) (sin lambda1))
  (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 (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))
  (log (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (exp (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (log (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (log (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (exp (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))))
  (* (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))))
  (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))))
  (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R))
  (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R))
  (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* (cbrt R) (cbrt R)))
  (* (sqrt R) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))
  (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (- (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)))
  (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (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 phi2)) (sqrt (sin phi1)))
  (* (sqrt (sin phi2)) (sqrt (sin phi1)))
  (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (sin phi1))
  (* (sqrt (sin phi2)) (sin phi1))
  (sin phi1)
  (* (cbrt (sin phi1)) (sin phi2))
  (* (sin phi2) (sqrt (sin phi1)))
  (* (sin phi1) (sin phi2))
  (+ (* lambda1 (+ lambda2 (* lambda1 -1/2))) 1)
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))
  (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))
  (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))
  (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
4.306 * * * [progress]: adding candidates to table
4.880 * * [progress]: iteration 2 / 4
4.880 * * * [progress]: picking best candidate
5.015 * * * * [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))>
5.015 * * * [progress]: localizing error
5.095 * * * [progress]: generating rewritten candidates
5.095 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
5.097 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
5.102 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2)
5.119 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
5.130 * * * [progress]: generating series expansions
5.130 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
5.131 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.131 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
5.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
5.131 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
5.131 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.131 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
5.132 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
5.132 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
5.133 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.133 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
5.133 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.133 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
5.134 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
5.134 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.134 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.134 * [taylor]: Taking taylor expansion of 0 in phi2
5.134 * [backup-simplify]: Simplify 0 into 0
5.134 * [taylor]: Taking taylor expansion of 0 in lambda1
5.134 * [backup-simplify]: Simplify 0 into 0
5.134 * [taylor]: Taking taylor expansion of 0 in lambda2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda1
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in phi2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda1
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda1
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [taylor]: Taking taylor expansion of 0 in lambda2
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.136 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.136 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
5.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
5.136 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
5.137 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
5.137 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
5.138 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
5.139 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
5.139 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
5.140 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
5.140 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.141 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.141 * [taylor]: Taking taylor expansion of 0 in phi2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda1
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda1
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in phi2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda1
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda1
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [taylor]: Taking taylor expansion of 0 in lambda2
5.141 * [backup-simplify]: Simplify 0 into 0
5.141 * [backup-simplify]: Simplify 0 into 0
5.142 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
5.143 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.143 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
5.143 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
5.143 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.143 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
5.144 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.144 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
5.144 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.144 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
5.145 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
5.145 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
5.146 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
5.146 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
5.147 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.148 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.148 * [taylor]: Taking taylor expansion of 0 in phi2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda1
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda1
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in phi2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda1
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda1
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [taylor]: Taking taylor expansion of 0 in lambda2
5.148 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify 0 into 0
5.149 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.149 * * * * [progress]: [ 2 / 4 ] generating series at (2)
5.149 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.149 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
5.149 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
5.149 * [taylor]: Taking taylor expansion of R in R
5.149 * [backup-simplify]: Simplify 0 into 0
5.149 * [backup-simplify]: Simplify 1 into 1
5.150 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
5.150 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.150 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
5.150 * [taylor]: Taking taylor expansion of R in lambda2
5.150 * [backup-simplify]: Simplify R into R
5.150 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
5.150 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.150 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
5.150 * [taylor]: Taking taylor expansion of R in lambda1
5.150 * [backup-simplify]: Simplify R into R
5.151 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
5.151 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.151 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
5.151 * [taylor]: Taking taylor expansion of R in phi2
5.151 * [backup-simplify]: Simplify R into R
5.151 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
5.151 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.151 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
5.151 * [taylor]: Taking taylor expansion of R in phi1
5.151 * [backup-simplify]: Simplify R into R
5.152 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
5.152 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.152 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
5.152 * [taylor]: Taking taylor expansion of R in phi1
5.152 * [backup-simplify]: Simplify R into R
5.152 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
5.152 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.153 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.153 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
5.153 * [taylor]: Taking taylor expansion of R in phi2
5.153 * [backup-simplify]: Simplify R into R
5.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
5.153 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.154 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.154 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
5.154 * [taylor]: Taking taylor expansion of R in lambda1
5.154 * [backup-simplify]: Simplify R into R
5.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
5.154 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.155 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.155 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
5.155 * [taylor]: Taking taylor expansion of R in lambda2
5.155 * [backup-simplify]: Simplify R into R
5.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
5.155 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.156 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.156 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
5.156 * [taylor]: Taking taylor expansion of R in R
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify 1 into 1
5.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
5.156 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.157 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
5.157 * [taylor]: Taking taylor expansion of 0 in phi2
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [taylor]: Taking taylor expansion of 0 in lambda1
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [taylor]: Taking taylor expansion of 0 in lambda2
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [taylor]: Taking taylor expansion of 0 in R
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
5.158 * [taylor]: Taking taylor expansion of 0 in lambda1
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [taylor]: Taking taylor expansion of 0 in lambda2
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [taylor]: Taking taylor expansion of 0 in R
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
5.159 * [taylor]: Taking taylor expansion of 0 in lambda2
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [taylor]: Taking taylor expansion of 0 in R
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
5.159 * [taylor]: Taking taylor expansion of 0 in R
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.161 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
5.161 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
5.162 * [taylor]: Taking taylor expansion of 0 in phi2
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [taylor]: Taking taylor expansion of 0 in lambda1
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [taylor]: Taking taylor expansion of 0 in lambda2
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [taylor]: Taking taylor expansion of 0 in R
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [taylor]: Taking taylor expansion of 0 in lambda1
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [taylor]: Taking taylor expansion of 0 in lambda2
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [taylor]: Taking taylor expansion of 0 in R
5.162 * [backup-simplify]: Simplify 0 into 0
5.162 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
5.163 * [taylor]: Taking taylor expansion of 0 in lambda1
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [taylor]: Taking taylor expansion of 0 in lambda2
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [taylor]: Taking taylor expansion of 0 in R
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [taylor]: Taking taylor expansion of 0 in lambda2
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [taylor]: Taking taylor expansion of 0 in R
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [taylor]: Taking taylor expansion of 0 in lambda2
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [taylor]: Taking taylor expansion of 0 in R
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify 0 into 0
5.164 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
5.164 * [taylor]: Taking taylor expansion of 0 in lambda2
5.164 * [backup-simplify]: Simplify 0 into 0
5.164 * [taylor]: Taking taylor expansion of 0 in R
5.164 * [backup-simplify]: Simplify 0 into 0
5.164 * [backup-simplify]: Simplify 0 into 0
5.165 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.165 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.165 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
5.165 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
5.165 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
5.166 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.166 * [taylor]: Taking taylor expansion of R in R
5.166 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.166 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
5.166 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
5.167 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.167 * [taylor]: Taking taylor expansion of R in lambda2
5.167 * [backup-simplify]: Simplify R into R
5.167 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.168 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
5.168 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
5.168 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.168 * [taylor]: Taking taylor expansion of R in lambda1
5.168 * [backup-simplify]: Simplify R into R
5.169 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.169 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
5.169 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
5.169 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.169 * [taylor]: Taking taylor expansion of R in phi2
5.169 * [backup-simplify]: Simplify R into R
5.170 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.170 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
5.170 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
5.170 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.170 * [taylor]: Taking taylor expansion of R in phi1
5.171 * [backup-simplify]: Simplify R into R
5.171 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.171 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
5.171 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
5.172 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.172 * [taylor]: Taking taylor expansion of R in phi1
5.172 * [backup-simplify]: Simplify R into R
5.172 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.172 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
5.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
5.173 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.173 * [taylor]: Taking taylor expansion of R in phi2
5.173 * [backup-simplify]: Simplify R into R
5.173 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.173 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
5.174 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
5.174 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.174 * [taylor]: Taking taylor expansion of R in lambda1
5.174 * [backup-simplify]: Simplify R into R
5.175 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.175 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
5.175 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
5.175 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.175 * [taylor]: Taking taylor expansion of R in lambda2
5.175 * [backup-simplify]: Simplify R into R
5.176 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
5.176 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
5.176 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
5.176 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.176 * [taylor]: Taking taylor expansion of R in R
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.177 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.178 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
5.179 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.179 * [taylor]: Taking taylor expansion of 0 in phi2
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [taylor]: Taking taylor expansion of 0 in lambda1
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [taylor]: Taking taylor expansion of 0 in lambda2
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [taylor]: Taking taylor expansion of 0 in R
5.179 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.180 * [taylor]: Taking taylor expansion of 0 in lambda1
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [taylor]: Taking taylor expansion of 0 in lambda2
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [taylor]: Taking taylor expansion of 0 in R
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.180 * [taylor]: Taking taylor expansion of 0 in lambda2
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [taylor]: Taking taylor expansion of 0 in R
5.180 * [backup-simplify]: Simplify 0 into 0
5.181 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.181 * [taylor]: Taking taylor expansion of 0 in R
5.181 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.183 * [taylor]: Taking taylor expansion of 0 in phi2
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [taylor]: Taking taylor expansion of 0 in lambda1
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [taylor]: Taking taylor expansion of 0 in lambda2
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [taylor]: Taking taylor expansion of 0 in R
5.183 * [backup-simplify]: Simplify 0 into 0
5.183 * [taylor]: Taking taylor expansion of 0 in lambda1
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [taylor]: Taking taylor expansion of 0 in lambda2
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [taylor]: Taking taylor expansion of 0 in R
5.184 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.185 * [taylor]: Taking taylor expansion of 0 in lambda1
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [taylor]: Taking taylor expansion of 0 in lambda2
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [taylor]: Taking taylor expansion of 0 in R
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [taylor]: Taking taylor expansion of 0 in lambda2
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [taylor]: Taking taylor expansion of 0 in R
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [taylor]: Taking taylor expansion of 0 in lambda2
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [taylor]: Taking taylor expansion of 0 in R
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.185 * [taylor]: Taking taylor expansion of 0 in lambda2
5.185 * [backup-simplify]: Simplify 0 into 0
5.186 * [taylor]: Taking taylor expansion of 0 in R
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [taylor]: Taking taylor expansion of 0 in R
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [taylor]: Taking taylor expansion of 0 in R
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [taylor]: Taking taylor expansion of 0 in R
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.186 * [taylor]: Taking taylor expansion of 0 in R
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.188 * [backup-simplify]: Simplify 0 into 0
5.189 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
5.190 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
5.190 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
5.190 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
5.190 * [taylor]: Taking taylor expansion of -1 in R
5.190 * [backup-simplify]: Simplify -1 into -1
5.190 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
5.190 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
5.191 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.191 * [taylor]: Taking taylor expansion of R in R
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.193 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.193 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
5.193 * [taylor]: Taking taylor expansion of -1 in lambda2
5.193 * [backup-simplify]: Simplify -1 into -1
5.193 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
5.193 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
5.194 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.194 * [taylor]: Taking taylor expansion of R in lambda2
5.194 * [backup-simplify]: Simplify R into R
5.194 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.194 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
5.194 * [taylor]: Taking taylor expansion of -1 in lambda1
5.194 * [backup-simplify]: Simplify -1 into -1
5.194 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
5.194 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
5.195 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.195 * [taylor]: Taking taylor expansion of R in lambda1
5.195 * [backup-simplify]: Simplify R into R
5.196 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.196 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
5.196 * [taylor]: Taking taylor expansion of -1 in phi2
5.196 * [backup-simplify]: Simplify -1 into -1
5.196 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
5.196 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
5.196 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.196 * [taylor]: Taking taylor expansion of R in phi2
5.196 * [backup-simplify]: Simplify R into R
5.197 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.197 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
5.197 * [taylor]: Taking taylor expansion of -1 in phi1
5.197 * [backup-simplify]: Simplify -1 into -1
5.197 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
5.197 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
5.198 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.198 * [taylor]: Taking taylor expansion of R in phi1
5.198 * [backup-simplify]: Simplify R into R
5.199 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.199 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
5.199 * [taylor]: Taking taylor expansion of -1 in phi1
5.199 * [backup-simplify]: Simplify -1 into -1
5.199 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
5.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
5.200 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.201 * [taylor]: Taking taylor expansion of R in phi1
5.201 * [backup-simplify]: Simplify R into R
5.202 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.203 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
5.203 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
5.203 * [taylor]: Taking taylor expansion of -1 in phi2
5.203 * [backup-simplify]: Simplify -1 into -1
5.203 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
5.203 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
5.204 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.204 * [taylor]: Taking taylor expansion of R in phi2
5.204 * [backup-simplify]: Simplify R into R
5.205 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
5.207 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
5.207 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
5.207 * [taylor]: Taking taylor expansion of -1 in lambda1
5.207 * [backup-simplify]: Simplify -1 into -1
5.207 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
5.207 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
5.208 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.208 * [taylor]: Taking taylor expansion of R in lambda1
5.208 * [backup-simplify]: Simplify R into R
5.209 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
5.210 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
5.210 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
5.210 * [taylor]: Taking taylor expansion of -1 in lambda2
5.210 * [backup-simplify]: Simplify -1 into -1
5.210 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
5.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
5.211 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.212 * [taylor]: Taking taylor expansion of R in lambda2
5.212 * [backup-simplify]: Simplify R into R
5.213 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
5.214 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
5.214 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
5.214 * [taylor]: Taking taylor expansion of -1 in R
5.214 * [backup-simplify]: Simplify -1 into -1
5.214 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
5.214 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
5.215 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
5.215 * [taylor]: Taking taylor expansion of R in R
5.215 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify 1 into 1
5.216 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
5.218 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
5.219 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
5.220 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
5.222 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
5.222 * [taylor]: Taking taylor expansion of 0 in phi2
5.222 * [backup-simplify]: Simplify 0 into 0
5.222 * [taylor]: Taking taylor expansion of 0 in lambda1
5.222 * [backup-simplify]: Simplify 0 into 0
5.222 * [taylor]: Taking taylor expansion of 0 in lambda2
5.222 * [backup-simplify]: Simplify 0 into 0
5.223 * [taylor]: Taking taylor expansion of 0 in R
5.223 * [backup-simplify]: Simplify 0 into 0
5.224 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
5.226 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
5.226 * [taylor]: Taking taylor expansion of 0 in lambda1
5.226 * [backup-simplify]: Simplify 0 into 0
5.226 * [taylor]: Taking taylor expansion of 0 in lambda2
5.226 * [backup-simplify]: Simplify 0 into 0
5.226 * [taylor]: Taking taylor expansion of 0 in R
5.226 * [backup-simplify]: Simplify 0 into 0
5.228 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
5.229 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
5.230 * [taylor]: Taking taylor expansion of 0 in lambda2
5.230 * [backup-simplify]: Simplify 0 into 0
5.230 * [taylor]: Taking taylor expansion of 0 in R
5.230 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
5.233 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
5.233 * [taylor]: Taking taylor expansion of 0 in R
5.233 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
5.237 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
5.237 * [backup-simplify]: Simplify 0 into 0
5.238 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.240 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
5.240 * [taylor]: Taking taylor expansion of 0 in phi2
5.240 * [backup-simplify]: Simplify 0 into 0
5.241 * [taylor]: Taking taylor expansion of 0 in lambda1
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [taylor]: Taking taylor expansion of 0 in lambda2
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [taylor]: Taking taylor expansion of 0 in R
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [taylor]: Taking taylor expansion of 0 in lambda1
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [taylor]: Taking taylor expansion of 0 in lambda2
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [taylor]: Taking taylor expansion of 0 in R
5.241 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
5.245 * [taylor]: Taking taylor expansion of 0 in lambda1
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in lambda2
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in R
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in lambda2
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in R
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in lambda2
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [taylor]: Taking taylor expansion of 0 in R
5.245 * [backup-simplify]: Simplify 0 into 0
5.246 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
5.249 * [taylor]: Taking taylor expansion of 0 in lambda2
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [taylor]: Taking taylor expansion of 0 in R
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [taylor]: Taking taylor expansion of 0 in R
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [taylor]: Taking taylor expansion of 0 in R
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [taylor]: Taking taylor expansion of 0 in R
5.249 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
5.253 * [taylor]: Taking taylor expansion of 0 in R
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.253 * [backup-simplify]: Simplify 0 into 0
5.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
5.258 * [backup-simplify]: Simplify 0 into 0
5.260 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.260 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2)
5.261 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
5.261 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
5.261 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
5.261 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
5.261 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.261 * [backup-simplify]: Simplify lambda1 into lambda1
5.261 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
5.261 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
5.261 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
5.261 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.261 * [backup-simplify]: Simplify 0 into 0
5.261 * [backup-simplify]: Simplify 1 into 1
5.261 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
5.261 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
5.261 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.261 * [backup-simplify]: Simplify 0 into 0
5.261 * [backup-simplify]: Simplify 1 into 1
5.261 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
5.261 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.261 * [backup-simplify]: Simplify lambda2 into lambda2
5.261 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.261 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.261 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
5.261 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
5.261 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.261 * [backup-simplify]: Simplify 0 into 0
5.261 * [backup-simplify]: Simplify 1 into 1
5.261 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
5.262 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.262 * [backup-simplify]: Simplify lambda2 into lambda2
5.262 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
5.262 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
5.262 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
5.262 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
5.262 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
5.262 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
5.262 * [taylor]: Taking taylor expansion of 0 in lambda2
5.262 * [backup-simplify]: Simplify 0 into 0
5.262 * [backup-simplify]: Simplify 0 into 0
5.263 * [backup-simplify]: Simplify (+ 0) into 0
5.263 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
5.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.264 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
5.265 * [backup-simplify]: Simplify (+ 0 0) into 0
5.265 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
5.266 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
5.266 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 1 into 1
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.268 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
5.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.269 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
5.269 * [backup-simplify]: Simplify (+ 0 0) into 0
5.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
5.271 * [taylor]: Taking taylor expansion of 0 in lambda2
5.271 * [backup-simplify]: Simplify 0 into 0
5.271 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.272 * [backup-simplify]: Simplify 1 into 1
5.272 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.273 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.275 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.276 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.276 * [backup-simplify]: Simplify (+ 0 0) into 0
5.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2)))
5.279 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
5.279 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
5.279 * [taylor]: Taking taylor expansion of 1/6 in lambda2
5.279 * [backup-simplify]: Simplify 1/6 into 1/6
5.279 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
5.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.279 * [backup-simplify]: Simplify 0 into 0
5.279 * [backup-simplify]: Simplify 1 into 1
5.279 * [backup-simplify]: Simplify (* 1/6 0) into 0
5.280 * [backup-simplify]: Simplify (- 0) into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.281 * [backup-simplify]: Simplify 0 into 0
5.281 * [backup-simplify]: Simplify 0 into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
5.284 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.286 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.287 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
5.287 * [backup-simplify]: Simplify (+ 0 0) into 0
5.289 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0
5.291 * [taylor]: Taking taylor expansion of 0 in lambda2
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
5.291 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.291 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0
5.291 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
5.291 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
5.291 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
5.291 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.292 * [backup-simplify]: Simplify (/ 1 1) into 1
5.292 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
5.292 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
5.292 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.292 * [backup-simplify]: Simplify lambda1 into lambda1
5.292 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.292 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.292 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.292 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
5.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
5.292 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
5.292 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.292 * [backup-simplify]: Simplify lambda2 into lambda2
5.292 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.292 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.292 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
5.292 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
5.292 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 1 into 1
5.293 * [backup-simplify]: Simplify (/ 1 1) into 1
5.293 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.293 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
5.293 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
5.293 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
5.293 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.293 * [backup-simplify]: Simplify lambda2 into lambda2
5.293 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
5.293 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.293 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
5.293 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
5.293 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
5.293 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify 1 into 1
5.294 * [backup-simplify]: Simplify (/ 1 1) into 1
5.294 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.294 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
5.294 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
5.294 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
5.295 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.295 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
5.295 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
5.295 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
5.295 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.295 * [backup-simplify]: Simplify 0 into 0
5.295 * [backup-simplify]: Simplify 1 into 1
5.295 * [backup-simplify]: Simplify (/ 1 1) into 1
5.295 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
5.295 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
5.295 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
5.295 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.295 * [backup-simplify]: Simplify lambda1 into lambda1
5.295 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
5.296 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
5.296 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
5.296 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
5.296 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
5.296 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
5.296 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.296 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
5.297 * [backup-simplify]: Simplify (+ 0) into 0
5.297 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
5.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
5.298 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.299 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
5.299 * [backup-simplify]: Simplify (+ 0 0) into 0
5.299 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
5.299 * [taylor]: Taking taylor expansion of 0 in lambda2
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify 0 into 0
5.300 * [backup-simplify]: Simplify (+ 0) into 0
5.300 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
5.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
5.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
5.302 * [backup-simplify]: Simplify (+ 0 0) into 0
5.302 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
5.302 * [backup-simplify]: Simplify 0 into 0
5.303 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.304 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.305 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.306 * [backup-simplify]: Simplify (+ 0 0) into 0
5.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
5.307 * [taylor]: Taking taylor expansion of 0 in lambda2
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 0 into 0
5.308 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.308 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
5.309 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.310 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.310 * [backup-simplify]: Simplify (+ 0 0) into 0
5.311 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
5.311 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.313 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.315 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.315 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.316 * [backup-simplify]: Simplify (+ 0 0) into 0
5.316 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0
5.316 * [taylor]: Taking taylor expansion of 0 in lambda2
5.317 * [backup-simplify]: Simplify 0 into 0
5.317 * [backup-simplify]: Simplify 0 into 0
5.317 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1))
5.317 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.317 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
5.317 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
5.317 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
5.317 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
5.317 * [taylor]: Taking taylor expansion of -1 in lambda2
5.317 * [backup-simplify]: Simplify -1 into -1
5.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.317 * [backup-simplify]: Simplify lambda1 into lambda1
5.317 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.317 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.318 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.318 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
5.318 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
5.318 * [taylor]: Taking taylor expansion of -1 in lambda2
5.318 * [backup-simplify]: Simplify -1 into -1
5.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.318 * [backup-simplify]: Simplify 0 into 0
5.318 * [backup-simplify]: Simplify 1 into 1
5.318 * [backup-simplify]: Simplify (/ -1 1) into -1
5.318 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.318 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
5.318 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
5.318 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
5.318 * [taylor]: Taking taylor expansion of -1 in lambda1
5.318 * [backup-simplify]: Simplify -1 into -1
5.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.318 * [backup-simplify]: Simplify 0 into 0
5.318 * [backup-simplify]: Simplify 1 into 1
5.319 * [backup-simplify]: Simplify (/ -1 1) into -1
5.319 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.319 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
5.319 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
5.319 * [taylor]: Taking taylor expansion of -1 in lambda1
5.319 * [backup-simplify]: Simplify -1 into -1
5.319 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.319 * [backup-simplify]: Simplify lambda2 into lambda2
5.319 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.319 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.319 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.319 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
5.319 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
5.319 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
5.320 * [taylor]: Taking taylor expansion of -1 in lambda1
5.320 * [backup-simplify]: Simplify -1 into -1
5.320 * [taylor]: Taking taylor expansion of lambda1 in lambda1
5.320 * [backup-simplify]: Simplify 0 into 0
5.320 * [backup-simplify]: Simplify 1 into 1
5.320 * [backup-simplify]: Simplify (/ -1 1) into -1
5.320 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.320 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
5.320 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
5.320 * [taylor]: Taking taylor expansion of -1 in lambda1
5.320 * [backup-simplify]: Simplify -1 into -1
5.320 * [taylor]: Taking taylor expansion of lambda2 in lambda1
5.320 * [backup-simplify]: Simplify lambda2 into lambda2
5.320 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
5.320 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.321 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
5.321 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
5.321 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
5.321 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
5.321 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.321 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
5.321 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
5.321 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
5.321 * [taylor]: Taking taylor expansion of -1 in lambda2
5.321 * [backup-simplify]: Simplify -1 into -1
5.321 * [taylor]: Taking taylor expansion of lambda1 in lambda2
5.321 * [backup-simplify]: Simplify lambda1 into lambda1
5.321 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
5.321 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
5.322 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
5.322 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
5.322 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
5.322 * [taylor]: Taking taylor expansion of -1 in lambda2
5.322 * [backup-simplify]: Simplify -1 into -1
5.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2
5.322 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify 1 into 1
5.322 * [backup-simplify]: Simplify (/ -1 1) into -1
5.322 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
5.322 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
5.323 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
5.323 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
5.323 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.323 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
5.323 * [backup-simplify]: Simplify (+ 0) into 0
5.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
5.324 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
5.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.325 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
5.326 * [backup-simplify]: Simplify (+ 0 0) into 0
5.326 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
5.326 * [taylor]: Taking taylor expansion of 0 in lambda2
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify 0 into 0
5.326 * [backup-simplify]: Simplify (+ 0) into 0
5.327 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
5.327 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
5.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.328 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
5.329 * [backup-simplify]: Simplify (+ 0 0) into 0
5.329 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
5.329 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.331 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.331 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.332 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.332 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.333 * [backup-simplify]: Simplify (+ 0 0) into 0
5.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
5.333 * [taylor]: Taking taylor expansion of 0 in lambda2
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify 0 into 0
5.333 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.335 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
5.336 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.337 * [backup-simplify]: Simplify (+ 0 0) into 0
5.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
5.338 * [backup-simplify]: Simplify 0 into 0
5.339 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.341 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
5.342 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.343 * [backup-simplify]: Simplify (+ 0 0) into 0
5.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
5.344 * [taylor]: Taking taylor expansion of 0 in lambda2
5.344 * [backup-simplify]: Simplify 0 into 0
5.344 * [backup-simplify]: Simplify 0 into 0
5.344 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
5.345 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
5.345 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
5.345 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
5.345 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
5.345 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
5.345 * [taylor]: Taking taylor expansion of phi1 in phi2
5.345 * [backup-simplify]: Simplify phi1 into phi1
5.345 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
5.345 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
5.345 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
5.345 * [taylor]: Taking taylor expansion of phi2 in phi2
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 1 into 1
5.345 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
5.345 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
5.345 * [taylor]: Taking taylor expansion of phi1 in phi1
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 1 into 1
5.345 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
5.345 * [taylor]: Taking taylor expansion of phi2 in phi1
5.345 * [backup-simplify]: Simplify phi2 into phi2
5.345 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.345 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.345 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
5.346 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
5.346 * [taylor]: Taking taylor expansion of phi1 in phi1
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify 1 into 1
5.346 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
5.346 * [taylor]: Taking taylor expansion of phi2 in phi1
5.346 * [backup-simplify]: Simplify phi2 into phi2
5.346 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
5.346 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
5.346 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
5.346 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
5.346 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
5.346 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
5.346 * [taylor]: Taking taylor expansion of 0 in phi2
5.346 * [backup-simplify]: Simplify 0 into 0
5.346 * [backup-simplify]: Simplify 0 into 0
5.347 * [backup-simplify]: Simplify (+ 0) into 0
5.347 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
5.348 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.349 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
5.349 * [backup-simplify]: Simplify (+ 0 0) into 0
5.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
5.353 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
5.353 * [taylor]: Taking taylor expansion of phi2 in phi2
5.353 * [backup-simplify]: Simplify 0 into 0
5.354 * [backup-simplify]: Simplify 1 into 1
5.354 * [backup-simplify]: Simplify 0 into 0
5.354 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.355 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
5.356 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.357 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
5.357 * [backup-simplify]: Simplify (+ 0 0) into 0
5.357 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
5.358 * [taylor]: Taking taylor expansion of 0 in phi2
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
5.358 * [backup-simplify]: Simplify 1 into 1
5.358 * [backup-simplify]: Simplify 0 into 0
5.359 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.359 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.360 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.361 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.361 * [backup-simplify]: Simplify (+ 0 0) into 0
5.362 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
5.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
5.363 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
5.363 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
5.363 * [taylor]: Taking taylor expansion of 1/6 in phi2
5.363 * [backup-simplify]: Simplify 1/6 into 1/6
5.363 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
5.363 * [taylor]: Taking taylor expansion of phi2 in phi2
5.363 * [backup-simplify]: Simplify 0 into 0
5.363 * [backup-simplify]: Simplify 1 into 1
5.363 * [backup-simplify]: Simplify (* 1/6 0) into 0
5.363 * [backup-simplify]: Simplify (- 0) into 0
5.363 * [backup-simplify]: Simplify 0 into 0
5.363 * [backup-simplify]: Simplify 0 into 0
5.364 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.364 * [backup-simplify]: Simplify 0 into 0
5.364 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
5.366 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.367 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.367 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
5.367 * [backup-simplify]: Simplify (+ 0 0) into 0
5.368 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
5.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
5.369 * [taylor]: Taking taylor expansion of 0 in phi2
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
5.369 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.369 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
5.369 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
5.369 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
5.369 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
5.369 * [taylor]: Taking taylor expansion of phi2 in phi2
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 1 into 1
5.370 * [backup-simplify]: Simplify (/ 1 1) into 1
5.370 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
5.370 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
5.370 * [taylor]: Taking taylor expansion of phi1 in phi2
5.370 * [backup-simplify]: Simplify phi1 into phi1
5.370 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.370 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.370 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.370 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
5.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
5.370 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
5.370 * [taylor]: Taking taylor expansion of phi2 in phi1
5.370 * [backup-simplify]: Simplify phi2 into phi2
5.370 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.370 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.370 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.370 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
5.370 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
5.370 * [taylor]: Taking taylor expansion of phi1 in phi1
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 1 into 1
5.370 * [backup-simplify]: Simplify (/ 1 1) into 1
5.370 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.370 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
5.371 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
5.371 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
5.371 * [taylor]: Taking taylor expansion of phi2 in phi1
5.371 * [backup-simplify]: Simplify phi2 into phi2
5.371 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
5.371 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.371 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
5.371 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
5.371 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
5.371 * [taylor]: Taking taylor expansion of phi1 in phi1
5.371 * [backup-simplify]: Simplify 0 into 0
5.371 * [backup-simplify]: Simplify 1 into 1
5.371 * [backup-simplify]: Simplify (/ 1 1) into 1
5.371 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.371 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
5.371 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
5.371 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
5.371 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.371 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
5.371 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
5.371 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
5.371 * [taylor]: Taking taylor expansion of phi2 in phi2
5.371 * [backup-simplify]: Simplify 0 into 0
5.371 * [backup-simplify]: Simplify 1 into 1
5.372 * [backup-simplify]: Simplify (/ 1 1) into 1
5.372 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
5.372 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
5.372 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
5.372 * [taylor]: Taking taylor expansion of phi1 in phi2
5.372 * [backup-simplify]: Simplify phi1 into phi1
5.372 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
5.372 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
5.372 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
5.372 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
5.372 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
5.372 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
5.372 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.372 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
5.373 * [backup-simplify]: Simplify (+ 0) into 0
5.373 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
5.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
5.374 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
5.374 * [backup-simplify]: Simplify (+ 0 0) into 0
5.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
5.374 * [taylor]: Taking taylor expansion of 0 in phi2
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify (+ 0) into 0
5.375 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
5.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
5.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.376 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
5.376 * [backup-simplify]: Simplify (+ 0 0) into 0
5.376 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
5.376 * [backup-simplify]: Simplify 0 into 0
5.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.377 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.378 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.378 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.378 * [backup-simplify]: Simplify (+ 0 0) into 0
5.378 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
5.379 * [taylor]: Taking taylor expansion of 0 in phi2
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.380 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
5.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.380 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.381 * [backup-simplify]: Simplify (+ 0 0) into 0
5.381 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
5.381 * [backup-simplify]: Simplify 0 into 0
5.382 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.382 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.383 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.383 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.384 * [backup-simplify]: Simplify (+ 0 0) into 0
5.384 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
5.384 * [taylor]: Taking taylor expansion of 0 in phi2
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
5.385 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.385 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
5.385 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
5.385 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
5.385 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
5.385 * [taylor]: Taking taylor expansion of -1 in phi2
5.385 * [backup-simplify]: Simplify -1 into -1
5.385 * [taylor]: Taking taylor expansion of phi1 in phi2
5.385 * [backup-simplify]: Simplify phi1 into phi1
5.385 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.385 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.385 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.385 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
5.385 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
5.385 * [taylor]: Taking taylor expansion of -1 in phi2
5.385 * [backup-simplify]: Simplify -1 into -1
5.385 * [taylor]: Taking taylor expansion of phi2 in phi2
5.385 * [backup-simplify]: Simplify 0 into 0
5.385 * [backup-simplify]: Simplify 1 into 1
5.385 * [backup-simplify]: Simplify (/ -1 1) into -1
5.385 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.385 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
5.386 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
5.386 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
5.386 * [taylor]: Taking taylor expansion of -1 in phi1
5.386 * [backup-simplify]: Simplify -1 into -1
5.386 * [taylor]: Taking taylor expansion of phi1 in phi1
5.386 * [backup-simplify]: Simplify 0 into 0
5.386 * [backup-simplify]: Simplify 1 into 1
5.386 * [backup-simplify]: Simplify (/ -1 1) into -1
5.386 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.386 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
5.386 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
5.386 * [taylor]: Taking taylor expansion of -1 in phi1
5.386 * [backup-simplify]: Simplify -1 into -1
5.386 * [taylor]: Taking taylor expansion of phi2 in phi1
5.386 * [backup-simplify]: Simplify phi2 into phi2
5.386 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.387 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.387 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.387 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
5.387 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
5.387 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
5.387 * [taylor]: Taking taylor expansion of -1 in phi1
5.387 * [backup-simplify]: Simplify -1 into -1
5.387 * [taylor]: Taking taylor expansion of phi1 in phi1
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify 1 into 1
5.387 * [backup-simplify]: Simplify (/ -1 1) into -1
5.388 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.388 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
5.388 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
5.388 * [taylor]: Taking taylor expansion of -1 in phi1
5.388 * [backup-simplify]: Simplify -1 into -1
5.388 * [taylor]: Taking taylor expansion of phi2 in phi1
5.388 * [backup-simplify]: Simplify phi2 into phi2
5.388 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
5.388 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.388 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
5.389 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
5.389 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
5.389 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
5.389 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.389 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
5.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
5.389 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
5.389 * [taylor]: Taking taylor expansion of -1 in phi2
5.389 * [backup-simplify]: Simplify -1 into -1
5.389 * [taylor]: Taking taylor expansion of phi1 in phi2
5.389 * [backup-simplify]: Simplify phi1 into phi1
5.389 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
5.389 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
5.389 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
5.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
5.389 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
5.389 * [taylor]: Taking taylor expansion of -1 in phi2
5.389 * [backup-simplify]: Simplify -1 into -1
5.390 * [taylor]: Taking taylor expansion of phi2 in phi2
5.390 * [backup-simplify]: Simplify 0 into 0
5.390 * [backup-simplify]: Simplify 1 into 1
5.390 * [backup-simplify]: Simplify (/ -1 1) into -1
5.390 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
5.390 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
5.390 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
5.391 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
5.391 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.391 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
5.391 * [backup-simplify]: Simplify (+ 0) into 0
5.392 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
5.392 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
5.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
5.394 * [backup-simplify]: Simplify (+ 0 0) into 0
5.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
5.394 * [taylor]: Taking taylor expansion of 0 in phi2
5.394 * [backup-simplify]: Simplify 0 into 0
5.394 * [backup-simplify]: Simplify 0 into 0
5.394 * [backup-simplify]: Simplify (+ 0) into 0
5.395 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
5.395 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
5.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
5.396 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
5.397 * [backup-simplify]: Simplify (+ 0 0) into 0
5.397 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
5.397 * [backup-simplify]: Simplify 0 into 0
5.398 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.398 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
5.399 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.400 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.400 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
5.400 * [backup-simplify]: Simplify (+ 0 0) into 0
5.401 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
5.401 * [taylor]: Taking taylor expansion of 0 in phi2
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 0 into 0
5.402 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
5.403 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
5.403 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
5.404 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
5.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
5.405 * [backup-simplify]: Simplify (+ 0 0) into 0
5.405 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.406 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
5.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.408 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
5.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
5.410 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
5.411 * [backup-simplify]: Simplify (+ 0 0) into 0
5.412 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
5.412 * [taylor]: Taking taylor expansion of 0 in phi2
5.412 * [backup-simplify]: Simplify 0 into 0
5.412 * [backup-simplify]: Simplify 0 into 0
5.412 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
5.412 * * * [progress]: simplifying candidates
5.414 * [simplify]: Simplifying:
  (/ 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)))))))
  (* (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 (- 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))
  (- (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 (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
  (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* lambda2 lambda1)
  (* (sin lambda2) (sin lambda1))
  (* (sin lambda1) (sin lambda2))
  (* phi1 phi2)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
5.417 * * [simplify]: iteration 0: 134 enodes
5.448 * * [simplify]: iteration 1: 277 enodes
5.528 * * [simplify]: iteration 2: 622 enodes
5.780 * * [simplify]: iteration 3: 1446 enodes
6.542 * * [simplify]: iteration 4: 3001 enodes
7.867 * * [simplify]: iteration complete: 5001 enodes
7.867 * * [simplify]: Extracting #0: cost 51 inf + 0
7.868 * * [simplify]: Extracting #1: cost 310 inf + 0
7.870 * * [simplify]: Extracting #2: cost 823 inf + 1997
7.876 * * [simplify]: Extracting #3: cost 871 inf + 31850
7.897 * * [simplify]: Extracting #4: cost 667 inf + 111620
7.942 * * [simplify]: Extracting #5: cost 471 inf + 169288
7.984 * * [simplify]: Extracting #6: cost 307 inf + 292220
8.080 * * [simplify]: Extracting #7: cost 50 inf + 555493
8.206 * * [simplify]: Extracting #8: cost 2 inf + 607001
8.363 * * [simplify]: Extracting #9: cost 0 inf + 609373
8.519 * [simplify]: Simplified to:
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (exp (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))))
  (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))))
  (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))))
  (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (cbrt R) (cbrt R)))
  (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
  (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))))
  (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) R)
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))
  (* (sin lambda2) (sin lambda1))
  (log (* (sin lambda2) (sin lambda1)))
  (log (* (sin lambda2) (sin lambda1)))
  (exp (* (sin lambda2) (sin lambda1)))
  (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))
  (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1))))
  (cbrt (* (sin lambda2) (sin lambda1)))
  (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))
  (sqrt (* (sin lambda2) (sin lambda1)))
  (sqrt (* (sin lambda2) (sin lambda1)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))
  (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2)))
  (* (sqrt (sin lambda2)) (sin lambda1))
  (sin lambda1)
  (* (sin lambda2) (cbrt (sin lambda1)))
  (* (sin lambda2) (sqrt (sin lambda1)))
  (* (sin lambda2) (sin lambda1))
  (- (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)))
  (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (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 phi2)) (sqrt (sin phi1)))
  (* (sqrt (sin phi2)) (sqrt (sin phi1)))
  (* (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 phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))))
  (* lambda1 lambda2)
  (* (sin lambda2) (sin lambda1))
  (* (sin lambda2) (sin lambda1))
  (* phi1 phi2)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
8.532 * * * [progress]: adding candidates to table
9.366 * * [progress]: iteration 3 / 4
9.366 * * * [progress]: picking best candidate
9.527 * * * * [pick]: Picked  #<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))>
9.527 * * * [progress]: localizing error
9.616 * * * [progress]: generating rewritten candidates
9.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
9.618 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
9.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
9.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2 2)
9.668 * * * [progress]: generating series expansions
9.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
9.669 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.669 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
9.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
9.669 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
9.670 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
9.670 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
9.670 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
9.671 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.671 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
9.671 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.671 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
9.672 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.672 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
9.672 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.673 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.673 * [taylor]: Taking taylor expansion of 0 in phi2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda1
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda1
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in phi2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda1
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda1
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [taylor]: Taking taylor expansion of 0 in lambda2
9.673 * [backup-simplify]: Simplify 0 into 0
9.673 * [backup-simplify]: Simplify 0 into 0
9.674 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.674 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.674 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
9.674 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
9.675 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
9.675 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
9.676 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.676 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
9.676 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.676 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
9.677 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.677 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
9.678 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.678 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
9.678 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.678 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
9.679 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.679 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.679 * [taylor]: Taking taylor expansion of 0 in phi2
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [taylor]: Taking taylor expansion of 0 in lambda1
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [taylor]: Taking taylor expansion of 0 in lambda2
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [taylor]: Taking taylor expansion of 0 in lambda1
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [taylor]: Taking taylor expansion of 0 in lambda2
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify 0 into 0
9.680 * [taylor]: Taking taylor expansion of 0 in lambda2
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [taylor]: Taking taylor expansion of 0 in phi2
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [taylor]: Taking taylor expansion of 0 in lambda1
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [taylor]: Taking taylor expansion of 0 in lambda2
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [taylor]: Taking taylor expansion of 0 in lambda1
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [taylor]: Taking taylor expansion of 0 in lambda2
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
9.681 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.681 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
9.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
9.682 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
9.682 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
9.683 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
9.684 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
9.684 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
9.685 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
9.686 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
9.686 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.687 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.687 * [taylor]: Taking taylor expansion of 0 in phi2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda1
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda1
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in phi2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda1
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda1
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [taylor]: Taking taylor expansion of 0 in lambda2
9.687 * [backup-simplify]: Simplify 0 into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.688 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
9.688 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.688 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
9.688 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
9.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
9.689 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.689 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.689 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
9.689 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
9.690 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.690 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.690 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
9.690 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
9.691 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.691 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.691 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
9.691 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
9.692 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.692 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.692 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
9.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
9.692 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.693 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.693 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
9.693 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
9.693 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.694 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.694 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
9.694 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
9.694 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.695 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.695 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
9.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
9.695 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.695 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.696 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0
9.698 * [taylor]: Taking taylor expansion of 0 in phi2
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [taylor]: Taking taylor expansion of 0 in lambda1
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [taylor]: Taking taylor expansion of 0 in lambda2
9.698 * [backup-simplify]: Simplify 0 into 0
9.698 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0
9.699 * [taylor]: Taking taylor expansion of 0 in lambda1
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * [taylor]: Taking taylor expansion of 0 in lambda2
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0
9.700 * [taylor]: Taking taylor expansion of 0 in lambda2
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 0 into 0
9.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0
9.701 * [backup-simplify]: Simplify 0 into 0
9.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 2) into 0
9.703 * [taylor]: Taking taylor expansion of 0 in phi2
9.703 * [backup-simplify]: Simplify 0 into 0
9.703 * [taylor]: Taking taylor expansion of 0 in lambda1
9.703 * [backup-simplify]: Simplify 0 into 0
9.703 * [taylor]: Taking taylor expansion of 0 in lambda2
9.703 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [taylor]: Taking taylor expansion of 0 in lambda1
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [taylor]: Taking taylor expansion of 0 in lambda2
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.705 * [backup-simplify]: Simplify (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.705 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
9.705 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
9.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
9.705 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.706 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.706 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
9.706 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
9.707 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.708 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.708 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
9.708 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
9.710 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.711 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.711 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
9.711 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
9.712 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.713 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.713 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1
9.713 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
9.714 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.715 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.715 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2
9.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
9.716 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.717 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.717 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1
9.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
9.719 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.720 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.720 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2
9.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
9.721 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.722 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.723 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))))
9.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0
9.725 * [taylor]: Taking taylor expansion of 0 in phi2
9.725 * [backup-simplify]: Simplify 0 into 0
9.725 * [taylor]: Taking taylor expansion of 0 in lambda1
9.725 * [backup-simplify]: Simplify 0 into 0
9.725 * [taylor]: Taking taylor expansion of 0 in lambda2
9.725 * [backup-simplify]: Simplify 0 into 0
9.725 * [backup-simplify]: Simplify 0 into 0
9.728 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0
9.728 * [taylor]: Taking taylor expansion of 0 in lambda1
9.728 * [backup-simplify]: Simplify 0 into 0
9.728 * [taylor]: Taking taylor expansion of 0 in lambda2
9.728 * [backup-simplify]: Simplify 0 into 0
9.728 * [backup-simplify]: Simplify 0 into 0
9.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0
9.730 * [taylor]: Taking taylor expansion of 0 in lambda2
9.730 * [backup-simplify]: Simplify 0 into 0
9.730 * [backup-simplify]: Simplify 0 into 0
9.732 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0
9.732 * [backup-simplify]: Simplify 0 into 0
9.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 2) into 0
9.737 * [taylor]: Taking taylor expansion of 0 in phi2
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [taylor]: Taking taylor expansion of 0 in lambda1
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [taylor]: Taking taylor expansion of 0 in lambda2
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [taylor]: Taking taylor expansion of 0 in lambda1
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [taylor]: Taking taylor expansion of 0 in lambda2
9.737 * [backup-simplify]: Simplify 0 into 0
9.737 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
9.739 * [backup-simplify]: Simplify (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.739 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0
9.739 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
9.739 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
9.740 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.742 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.742 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
9.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
9.743 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.744 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.744 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
9.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
9.745 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.746 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.746 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
9.746 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
9.747 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.748 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.748 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1
9.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
9.749 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.750 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.750 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2
9.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
9.751 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.752 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.753 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1
9.753 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
9.754 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.755 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.755 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2
9.755 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
9.756 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.757 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.758 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
9.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0
9.761 * [taylor]: Taking taylor expansion of 0 in phi2
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [taylor]: Taking taylor expansion of 0 in lambda1
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [taylor]: Taking taylor expansion of 0 in lambda2
9.761 * [backup-simplify]: Simplify 0 into 0
9.761 * [backup-simplify]: Simplify 0 into 0
9.764 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0
9.764 * [taylor]: Taking taylor expansion of 0 in lambda1
9.764 * [backup-simplify]: Simplify 0 into 0
9.764 * [taylor]: Taking taylor expansion of 0 in lambda2
9.764 * [backup-simplify]: Simplify 0 into 0
9.764 * [backup-simplify]: Simplify 0 into 0
9.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0
9.767 * [taylor]: Taking taylor expansion of 0 in lambda2
9.767 * [backup-simplify]: Simplify 0 into 0
9.767 * [backup-simplify]: Simplify 0 into 0
9.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0
9.769 * [backup-simplify]: Simplify 0 into 0
9.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 2) into 0
9.778 * [taylor]: Taking taylor expansion of 0 in phi2
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [taylor]: Taking taylor expansion of 0 in lambda1
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [taylor]: Taking taylor expansion of 0 in lambda2
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [taylor]: Taking taylor expansion of 0 in lambda1
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [taylor]: Taking taylor expansion of 0 in lambda2
9.778 * [backup-simplify]: Simplify 0 into 0
9.778 * [backup-simplify]: Simplify 0 into 0
9.780 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.780 * * * * [progress]: [ 3 / 4 ] generating series at (2)
9.781 * [backup-simplify]: Simplify (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.781 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
9.781 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
9.781 * [taylor]: Taking taylor expansion of R in R
9.781 * [backup-simplify]: Simplify 0 into 0
9.781 * [backup-simplify]: Simplify 1 into 1
9.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
9.782 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.782 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
9.782 * [taylor]: Taking taylor expansion of R in lambda2
9.782 * [backup-simplify]: Simplify R into R
9.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
9.783 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.783 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
9.783 * [taylor]: Taking taylor expansion of R in lambda1
9.783 * [backup-simplify]: Simplify R into R
9.783 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
9.784 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.784 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
9.784 * [taylor]: Taking taylor expansion of R in phi2
9.784 * [backup-simplify]: Simplify R into R
9.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
9.785 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.785 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
9.785 * [taylor]: Taking taylor expansion of R in phi1
9.785 * [backup-simplify]: Simplify R into R
9.785 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
9.786 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.786 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
9.786 * [taylor]: Taking taylor expansion of R in phi1
9.786 * [backup-simplify]: Simplify R into R
9.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
9.787 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.788 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.788 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
9.788 * [taylor]: Taking taylor expansion of R in phi2
9.788 * [backup-simplify]: Simplify R into R
9.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
9.789 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.789 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.790 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
9.790 * [taylor]: Taking taylor expansion of R in lambda1
9.790 * [backup-simplify]: Simplify R into R
9.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
9.790 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.791 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.791 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
9.791 * [taylor]: Taking taylor expansion of R in lambda2
9.791 * [backup-simplify]: Simplify R into R
9.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
9.792 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.793 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.793 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
9.793 * [taylor]: Taking taylor expansion of R in R
9.793 * [backup-simplify]: Simplify 0 into 0
9.793 * [backup-simplify]: Simplify 1 into 1
9.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
9.794 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.795 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
9.795 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
9.796 * [taylor]: Taking taylor expansion of 0 in phi2
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [taylor]: Taking taylor expansion of 0 in lambda1
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [taylor]: Taking taylor expansion of 0 in lambda2
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [taylor]: Taking taylor expansion of 0 in R
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 0 into 0
9.797 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
9.797 * [taylor]: Taking taylor expansion of 0 in lambda1
9.797 * [backup-simplify]: Simplify 0 into 0
9.797 * [taylor]: Taking taylor expansion of 0 in lambda2
9.797 * [backup-simplify]: Simplify 0 into 0
9.797 * [taylor]: Taking taylor expansion of 0 in R
9.797 * [backup-simplify]: Simplify 0 into 0
9.797 * [backup-simplify]: Simplify 0 into 0
9.798 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
9.798 * [taylor]: Taking taylor expansion of 0 in lambda2
9.798 * [backup-simplify]: Simplify 0 into 0
9.798 * [taylor]: Taking taylor expansion of 0 in R
9.798 * [backup-simplify]: Simplify 0 into 0
9.798 * [backup-simplify]: Simplify 0 into 0
9.799 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
9.799 * [taylor]: Taking taylor expansion of 0 in R
9.799 * [backup-simplify]: Simplify 0 into 0
9.799 * [backup-simplify]: Simplify 0 into 0
9.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.802 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
9.803 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
9.803 * [taylor]: Taking taylor expansion of 0 in phi2
9.803 * [backup-simplify]: Simplify 0 into 0
9.803 * [taylor]: Taking taylor expansion of 0 in lambda1
9.803 * [backup-simplify]: Simplify 0 into 0
9.803 * [taylor]: Taking taylor expansion of 0 in lambda2
9.803 * [backup-simplify]: Simplify 0 into 0
9.804 * [taylor]: Taking taylor expansion of 0 in R
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [taylor]: Taking taylor expansion of 0 in lambda1
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [taylor]: Taking taylor expansion of 0 in lambda2
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [taylor]: Taking taylor expansion of 0 in R
9.804 * [backup-simplify]: Simplify 0 into 0
9.804 * [backup-simplify]: Simplify 0 into 0
9.805 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
9.805 * [taylor]: Taking taylor expansion of 0 in lambda1
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [taylor]: Taking taylor expansion of 0 in lambda2
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [taylor]: Taking taylor expansion of 0 in R
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [taylor]: Taking taylor expansion of 0 in lambda2
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [taylor]: Taking taylor expansion of 0 in R
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [taylor]: Taking taylor expansion of 0 in lambda2
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [taylor]: Taking taylor expansion of 0 in R
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.808 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
9.808 * [taylor]: Taking taylor expansion of 0 in lambda2
9.808 * [backup-simplify]: Simplify 0 into 0
9.808 * [taylor]: Taking taylor expansion of 0 in R
9.808 * [backup-simplify]: Simplify 0 into 0
9.808 * [backup-simplify]: Simplify 0 into 0
9.809 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.811 * [backup-simplify]: Simplify (* (exp (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.811 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
9.811 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
9.811 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
9.812 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.812 * [taylor]: Taking taylor expansion of R in R
9.812 * [backup-simplify]: Simplify 0 into 0
9.812 * [backup-simplify]: Simplify 1 into 1
9.813 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.813 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
9.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
9.814 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.814 * [taylor]: Taking taylor expansion of R in lambda2
9.814 * [backup-simplify]: Simplify R into R
9.815 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
9.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
9.817 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.817 * [taylor]: Taking taylor expansion of R in lambda1
9.817 * [backup-simplify]: Simplify R into R
9.818 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
9.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
9.819 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.819 * [taylor]: Taking taylor expansion of R in phi2
9.819 * [backup-simplify]: Simplify R into R
9.820 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.820 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
9.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
9.821 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.822 * [taylor]: Taking taylor expansion of R in phi1
9.822 * [backup-simplify]: Simplify R into R
9.823 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.823 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
9.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
9.824 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.824 * [taylor]: Taking taylor expansion of R in phi1
9.825 * [backup-simplify]: Simplify R into R
9.826 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.826 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
9.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
9.827 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.827 * [taylor]: Taking taylor expansion of R in phi2
9.827 * [backup-simplify]: Simplify R into R
9.828 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.828 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
9.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
9.830 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.830 * [taylor]: Taking taylor expansion of R in lambda1
9.830 * [backup-simplify]: Simplify R into R
9.831 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.831 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
9.831 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
9.832 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.832 * [taylor]: Taking taylor expansion of R in lambda2
9.832 * [backup-simplify]: Simplify R into R
9.833 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
9.833 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
9.833 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
9.834 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.834 * [taylor]: Taking taylor expansion of R in R
9.834 * [backup-simplify]: Simplify 0 into 0
9.834 * [backup-simplify]: Simplify 1 into 1
9.836 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.837 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
9.838 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
9.838 * [taylor]: Taking taylor expansion of 0 in phi2
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [taylor]: Taking taylor expansion of 0 in lambda1
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [taylor]: Taking taylor expansion of 0 in lambda2
9.838 * [backup-simplify]: Simplify 0 into 0
9.838 * [taylor]: Taking taylor expansion of 0 in R
9.838 * [backup-simplify]: Simplify 0 into 0
9.840 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
9.840 * [taylor]: Taking taylor expansion of 0 in lambda1
9.840 * [backup-simplify]: Simplify 0 into 0
9.840 * [taylor]: Taking taylor expansion of 0 in lambda2
9.840 * [backup-simplify]: Simplify 0 into 0
9.840 * [taylor]: Taking taylor expansion of 0 in R
9.840 * [backup-simplify]: Simplify 0 into 0
9.841 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
9.841 * [taylor]: Taking taylor expansion of 0 in lambda2
9.841 * [backup-simplify]: Simplify 0 into 0
9.841 * [taylor]: Taking taylor expansion of 0 in R
9.841 * [backup-simplify]: Simplify 0 into 0
9.842 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
9.842 * [taylor]: Taking taylor expansion of 0 in R
9.843 * [backup-simplify]: Simplify 0 into 0
9.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
9.845 * [backup-simplify]: Simplify 0 into 0
9.846 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.846 * [taylor]: Taking taylor expansion of 0 in phi2
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [taylor]: Taking taylor expansion of 0 in lambda1
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [taylor]: Taking taylor expansion of 0 in lambda2
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [taylor]: Taking taylor expansion of 0 in R
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [taylor]: Taking taylor expansion of 0 in lambda1
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [taylor]: Taking taylor expansion of 0 in lambda2
9.846 * [backup-simplify]: Simplify 0 into 0
9.846 * [taylor]: Taking taylor expansion of 0 in R
9.846 * [backup-simplify]: Simplify 0 into 0
9.848 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.848 * [taylor]: Taking taylor expansion of 0 in lambda1
9.848 * [backup-simplify]: Simplify 0 into 0
9.848 * [taylor]: Taking taylor expansion of 0 in lambda2
9.848 * [backup-simplify]: Simplify 0 into 0
9.848 * [taylor]: Taking taylor expansion of 0 in R
9.848 * [backup-simplify]: Simplify 0 into 0
9.848 * [taylor]: Taking taylor expansion of 0 in lambda2
9.848 * [backup-simplify]: Simplify 0 into 0
9.848 * [taylor]: Taking taylor expansion of 0 in R
9.848 * [backup-simplify]: Simplify 0 into 0
9.848 * [taylor]: Taking taylor expansion of 0 in lambda2
9.848 * [backup-simplify]: Simplify 0 into 0
9.848 * [taylor]: Taking taylor expansion of 0 in R
9.848 * [backup-simplify]: Simplify 0 into 0
9.849 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.850 * [taylor]: Taking taylor expansion of 0 in lambda2
9.850 * [backup-simplify]: Simplify 0 into 0
9.850 * [taylor]: Taking taylor expansion of 0 in R
9.850 * [backup-simplify]: Simplify 0 into 0
9.850 * [taylor]: Taking taylor expansion of 0 in R
9.850 * [backup-simplify]: Simplify 0 into 0
9.850 * [taylor]: Taking taylor expansion of 0 in R
9.850 * [backup-simplify]: Simplify 0 into 0
9.850 * [taylor]: Taking taylor expansion of 0 in R
9.850 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.851 * [taylor]: Taking taylor expansion of 0 in R
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 0 into 0
9.851 * [backup-simplify]: Simplify 0 into 0
9.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.854 * [backup-simplify]: Simplify 0 into 0
9.856 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
9.857 * [backup-simplify]: Simplify (* (exp (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
9.857 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
9.857 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
9.857 * [taylor]: Taking taylor expansion of -1 in R
9.857 * [backup-simplify]: Simplify -1 into -1
9.857 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
9.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
9.858 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.858 * [taylor]: Taking taylor expansion of R in R
9.858 * [backup-simplify]: Simplify 0 into 0
9.858 * [backup-simplify]: Simplify 1 into 1
9.858 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.858 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
9.858 * [taylor]: Taking taylor expansion of -1 in lambda2
9.858 * [backup-simplify]: Simplify -1 into -1
9.858 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
9.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
9.859 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.859 * [taylor]: Taking taylor expansion of R in lambda2
9.859 * [backup-simplify]: Simplify R into R
9.860 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
9.860 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
9.860 * [taylor]: Taking taylor expansion of -1 in lambda1
9.860 * [backup-simplify]: Simplify -1 into -1
9.860 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
9.860 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
9.860 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.860 * [taylor]: Taking taylor expansion of R in lambda1
9.860 * [backup-simplify]: Simplify R into R
9.861 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
9.861 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
9.861 * [taylor]: Taking taylor expansion of -1 in phi2
9.861 * [backup-simplify]: Simplify -1 into -1
9.861 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
9.861 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
9.861 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.862 * [taylor]: Taking taylor expansion of R in phi2
9.862 * [backup-simplify]: Simplify R into R
9.862 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
9.862 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
9.862 * [taylor]: Taking taylor expansion of -1 in phi1
9.862 * [backup-simplify]: Simplify -1 into -1
9.862 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
9.862 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
9.863 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.863 * [taylor]: Taking taylor expansion of R in phi1
9.863 * [backup-simplify]: Simplify R into R
9.863 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
9.863 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
9.863 * [taylor]: Taking taylor expansion of -1 in phi1
9.863 * [backup-simplify]: Simplify -1 into -1
9.863 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
9.863 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
9.864 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.864 * [taylor]: Taking taylor expansion of R in phi1
9.864 * [backup-simplify]: Simplify R into R
9.865 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
9.865 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
9.865 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
9.865 * [taylor]: Taking taylor expansion of -1 in phi2
9.865 * [backup-simplify]: Simplify -1 into -1
9.865 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
9.865 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
9.866 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.866 * [taylor]: Taking taylor expansion of R in phi2
9.866 * [backup-simplify]: Simplify R into R
9.866 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
9.867 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
9.867 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
9.867 * [taylor]: Taking taylor expansion of -1 in lambda1
9.867 * [backup-simplify]: Simplify -1 into -1
9.867 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
9.867 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
9.868 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.868 * [taylor]: Taking taylor expansion of R in lambda1
9.868 * [backup-simplify]: Simplify R into R
9.868 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
9.869 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
9.869 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
9.869 * [taylor]: Taking taylor expansion of -1 in lambda2
9.869 * [backup-simplify]: Simplify -1 into -1
9.869 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
9.869 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
9.870 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.870 * [taylor]: Taking taylor expansion of R in lambda2
9.870 * [backup-simplify]: Simplify R into R
9.870 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
9.871 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
9.871 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
9.871 * [taylor]: Taking taylor expansion of -1 in R
9.871 * [backup-simplify]: Simplify -1 into -1
9.871 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
9.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
9.871 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
9.871 * [taylor]: Taking taylor expansion of R in R
9.871 * [backup-simplify]: Simplify 0 into 0
9.871 * [backup-simplify]: Simplify 1 into 1
9.872 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
9.873 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
9.873 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
9.874 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
9.875 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
9.875 * [taylor]: Taking taylor expansion of 0 in phi2
9.875 * [backup-simplify]: Simplify 0 into 0
9.875 * [taylor]: Taking taylor expansion of 0 in lambda1
9.875 * [backup-simplify]: Simplify 0 into 0
9.875 * [taylor]: Taking taylor expansion of 0 in lambda2
9.875 * [backup-simplify]: Simplify 0 into 0
9.875 * [taylor]: Taking taylor expansion of 0 in R
9.875 * [backup-simplify]: Simplify 0 into 0
9.876 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
9.877 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
9.877 * [taylor]: Taking taylor expansion of 0 in lambda1
9.877 * [backup-simplify]: Simplify 0 into 0
9.877 * [taylor]: Taking taylor expansion of 0 in lambda2
9.877 * [backup-simplify]: Simplify 0 into 0
9.877 * [taylor]: Taking taylor expansion of 0 in R
9.877 * [backup-simplify]: Simplify 0 into 0
9.878 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
9.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
9.878 * [taylor]: Taking taylor expansion of 0 in lambda2
9.879 * [backup-simplify]: Simplify 0 into 0
9.879 * [taylor]: Taking taylor expansion of 0 in R
9.879 * [backup-simplify]: Simplify 0 into 0
9.879 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
9.880 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
9.880 * [taylor]: Taking taylor expansion of 0 in R
9.880 * [backup-simplify]: Simplify 0 into 0
9.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
9.882 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
9.882 * [backup-simplify]: Simplify 0 into 0
9.883 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
9.884 * [taylor]: Taking taylor expansion of 0 in phi2
9.884 * [backup-simplify]: Simplify 0 into 0
9.884 * [taylor]: Taking taylor expansion of 0 in lambda1
9.884 * [backup-simplify]: Simplify 0 into 0
9.884 * [taylor]: Taking taylor expansion of 0 in lambda2
9.884 * [backup-simplify]: Simplify 0 into 0
9.884 * [taylor]: Taking taylor expansion of 0 in R
9.884 * [backup-simplify]: Simplify 0 into 0
9.885 * [taylor]: Taking taylor expansion of 0 in lambda1
9.885 * [backup-simplify]: Simplify 0 into 0
9.885 * [taylor]: Taking taylor expansion of 0 in lambda2
9.885 * [backup-simplify]: Simplify 0 into 0
9.885 * [taylor]: Taking taylor expansion of 0 in R
9.885 * [backup-simplify]: Simplify 0 into 0
9.885 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.887 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
9.887 * [taylor]: Taking taylor expansion of 0 in lambda1
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [taylor]: Taking taylor expansion of 0 in lambda2
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [taylor]: Taking taylor expansion of 0 in R
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [taylor]: Taking taylor expansion of 0 in lambda2
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [taylor]: Taking taylor expansion of 0 in R
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [taylor]: Taking taylor expansion of 0 in lambda2
9.887 * [backup-simplify]: Simplify 0 into 0
9.887 * [taylor]: Taking taylor expansion of 0 in R
9.887 * [backup-simplify]: Simplify 0 into 0
9.888 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
9.889 * [taylor]: Taking taylor expansion of 0 in lambda2
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [taylor]: Taking taylor expansion of 0 in R
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [taylor]: Taking taylor expansion of 0 in R
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [taylor]: Taking taylor expansion of 0 in R
9.889 * [backup-simplify]: Simplify 0 into 0
9.889 * [taylor]: Taking taylor expansion of 0 in R
9.889 * [backup-simplify]: Simplify 0 into 0
9.891 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
9.893 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
9.893 * [taylor]: Taking taylor expansion of 0 in R
9.893 * [backup-simplify]: Simplify 0 into 0
9.893 * [backup-simplify]: Simplify 0 into 0
9.893 * [backup-simplify]: Simplify 0 into 0
9.893 * [backup-simplify]: Simplify 0 into 0
9.893 * [backup-simplify]: Simplify 0 into 0
9.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
9.898 * [backup-simplify]: Simplify 0 into 0
9.900 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
9.901 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2 2)
9.901 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
9.901 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
9.901 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
9.901 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
9.901 * [taylor]: Taking taylor expansion of lambda1 in lambda2
9.901 * [backup-simplify]: Simplify lambda1 into lambda1
9.901 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
9.901 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
9.901 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
9.901 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify 1 into 1
9.901 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
9.901 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
9.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify 1 into 1
9.901 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
9.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1
9.901 * [backup-simplify]: Simplify lambda2 into lambda2
9.901 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
9.902 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
9.902 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
9.902 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
9.902 * [taylor]: Taking taylor expansion of lambda1 in lambda1
9.902 * [backup-simplify]: Simplify 0 into 0
9.902 * [backup-simplify]: Simplify 1 into 1
9.902 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
9.902 * [taylor]: Taking taylor expansion of lambda2 in lambda1
9.902 * [backup-simplify]: Simplify lambda2 into lambda2
9.902 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
9.902 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
9.902 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
9.902 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
9.902 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
9.902 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
9.902 * [taylor]: Taking taylor expansion of 0 in lambda2
9.902 * [backup-simplify]: Simplify 0 into 0
9.902 * [backup-simplify]: Simplify 0 into 0
9.903 * [backup-simplify]: Simplify (+ 0) into 0
9.903 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
9.904 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.905 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
9.905 * [backup-simplify]: Simplify (+ 0 0) into 0
9.906 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
9.906 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
9.906 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.906 * [backup-simplify]: Simplify 0 into 0
9.906 * [backup-simplify]: Simplify 1 into 1
9.906 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify 0 into 0
9.907 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.908 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
9.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.910 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
9.910 * [backup-simplify]: Simplify (+ 0 0) into 0
9.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
9.912 * [taylor]: Taking taylor expansion of 0 in lambda2
9.912 * [backup-simplify]: Simplify 0 into 0
9.912 * [backup-simplify]: Simplify 0 into 0
9.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
9.913 * [backup-simplify]: Simplify 1 into 1
9.913 * [backup-simplify]: Simplify 0 into 0
9.914 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.914 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.917 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.917 * [backup-simplify]: Simplify (+ 0 0) into 0
9.921 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
9.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2)))
9.923 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
9.923 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
9.923 * [taylor]: Taking taylor expansion of 1/6 in lambda2
9.923 * [backup-simplify]: Simplify 1/6 into 1/6
9.923 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
9.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.923 * [backup-simplify]: Simplify 0 into 0
9.923 * [backup-simplify]: Simplify 1 into 1
9.923 * [backup-simplify]: Simplify (* 1/6 0) into 0
9.924 * [backup-simplify]: Simplify (- 0) into 0
9.924 * [backup-simplify]: Simplify 0 into 0
9.924 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.925 * [backup-simplify]: Simplify 0 into 0
9.925 * [backup-simplify]: Simplify 0 into 0
9.927 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
9.929 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.930 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.931 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
9.931 * [backup-simplify]: Simplify (+ 0 0) into 0
9.933 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
9.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0
9.935 * [taylor]: Taking taylor expansion of 0 in lambda2
9.935 * [backup-simplify]: Simplify 0 into 0
9.935 * [backup-simplify]: Simplify 0 into 0
9.935 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
9.935 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
9.935 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0
9.935 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
9.935 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
9.935 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
9.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.935 * [backup-simplify]: Simplify 0 into 0
9.935 * [backup-simplify]: Simplify 1 into 1
9.936 * [backup-simplify]: Simplify (/ 1 1) into 1
9.936 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
9.936 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
9.936 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
9.936 * [taylor]: Taking taylor expansion of lambda1 in lambda2
9.936 * [backup-simplify]: Simplify lambda1 into lambda1
9.936 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
9.936 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
9.936 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
9.936 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
9.936 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
9.936 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
9.936 * [taylor]: Taking taylor expansion of lambda2 in lambda1
9.937 * [backup-simplify]: Simplify lambda2 into lambda2
9.937 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
9.937 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
9.937 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
9.937 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
9.937 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
9.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1
9.937 * [backup-simplify]: Simplify 0 into 0
9.937 * [backup-simplify]: Simplify 1 into 1
9.937 * [backup-simplify]: Simplify (/ 1 1) into 1
9.937 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
9.937 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
9.937 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
9.937 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
9.938 * [taylor]: Taking taylor expansion of lambda2 in lambda1
9.938 * [backup-simplify]: Simplify lambda2 into lambda2
9.938 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
9.938 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
9.938 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
9.938 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
9.938 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
9.938 * [taylor]: Taking taylor expansion of lambda1 in lambda1
9.938 * [backup-simplify]: Simplify 0 into 0
9.938 * [backup-simplify]: Simplify 1 into 1
9.938 * [backup-simplify]: Simplify (/ 1 1) into 1
9.938 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
9.939 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
9.939 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
9.939 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
9.939 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
9.939 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
9.939 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
9.939 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
9.939 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.939 * [backup-simplify]: Simplify 0 into 0
9.939 * [backup-simplify]: Simplify 1 into 1
9.940 * [backup-simplify]: Simplify (/ 1 1) into 1
9.940 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
9.940 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
9.940 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
9.940 * [taylor]: Taking taylor expansion of lambda1 in lambda2
9.940 * [backup-simplify]: Simplify lambda1 into lambda1
9.940 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
9.940 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
9.940 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
9.940 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
9.940 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
9.940 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
9.941 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
9.941 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
9.941 * [backup-simplify]: Simplify (+ 0) into 0
9.942 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
9.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
9.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.944 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
9.944 * [backup-simplify]: Simplify (+ 0 0) into 0
9.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
9.945 * [taylor]: Taking taylor expansion of 0 in lambda2
9.945 * [backup-simplify]: Simplify 0 into 0
9.945 * [backup-simplify]: Simplify 0 into 0
9.945 * [backup-simplify]: Simplify (+ 0) into 0
9.945 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
9.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
9.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
9.946 * [backup-simplify]: Simplify (+ 0 0) into 0
9.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
9.947 * [backup-simplify]: Simplify 0 into 0
9.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
9.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
9.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.949 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
9.949 * [backup-simplify]: Simplify (+ 0 0) into 0
9.949 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
9.949 * [taylor]: Taking taylor expansion of 0 in lambda2
9.949 * [backup-simplify]: Simplify 0 into 0
9.949 * [backup-simplify]: Simplify 0 into 0
9.949 * [backup-simplify]: Simplify 0 into 0
9.950 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
9.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
9.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
9.951 * [backup-simplify]: Simplify (+ 0 0) into 0
9.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
9.952 * [backup-simplify]: Simplify 0 into 0
9.952 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
9.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.954 * [backup-simplify]: Simplify (+ 0 0) into 0
9.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0
9.955 * [taylor]: Taking taylor expansion of 0 in lambda2
9.955 * [backup-simplify]: Simplify 0 into 0
9.955 * [backup-simplify]: Simplify 0 into 0
9.955 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1))
9.955 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
9.955 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
9.955 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
9.955 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
9.955 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
9.955 * [taylor]: Taking taylor expansion of -1 in lambda2
9.955 * [backup-simplify]: Simplify -1 into -1
9.955 * [taylor]: Taking taylor expansion of lambda1 in lambda2
9.955 * [backup-simplify]: Simplify lambda1 into lambda1
9.955 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
9.956 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
9.956 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
9.956 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
9.956 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
9.956 * [taylor]: Taking taylor expansion of -1 in lambda2
9.956 * [backup-simplify]: Simplify -1 into -1
9.956 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.956 * [backup-simplify]: Simplify 0 into 0
9.956 * [backup-simplify]: Simplify 1 into 1
9.956 * [backup-simplify]: Simplify (/ -1 1) into -1
9.956 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
9.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
9.956 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
9.956 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
9.956 * [taylor]: Taking taylor expansion of -1 in lambda1
9.956 * [backup-simplify]: Simplify -1 into -1
9.956 * [taylor]: Taking taylor expansion of lambda1 in lambda1
9.956 * [backup-simplify]: Simplify 0 into 0
9.956 * [backup-simplify]: Simplify 1 into 1
9.956 * [backup-simplify]: Simplify (/ -1 1) into -1
9.957 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
9.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
9.957 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
9.957 * [taylor]: Taking taylor expansion of -1 in lambda1
9.957 * [backup-simplify]: Simplify -1 into -1
9.957 * [taylor]: Taking taylor expansion of lambda2 in lambda1
9.957 * [backup-simplify]: Simplify lambda2 into lambda2
9.957 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
9.957 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
9.957 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
9.957 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
9.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
9.957 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
9.957 * [taylor]: Taking taylor expansion of -1 in lambda1
9.957 * [backup-simplify]: Simplify -1 into -1
9.957 * [taylor]: Taking taylor expansion of lambda1 in lambda1
9.957 * [backup-simplify]: Simplify 0 into 0
9.957 * [backup-simplify]: Simplify 1 into 1
9.957 * [backup-simplify]: Simplify (/ -1 1) into -1
9.957 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
9.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
9.957 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
9.957 * [taylor]: Taking taylor expansion of -1 in lambda1
9.957 * [backup-simplify]: Simplify -1 into -1
9.957 * [taylor]: Taking taylor expansion of lambda2 in lambda1
9.957 * [backup-simplify]: Simplify lambda2 into lambda2
9.957 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
9.957 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
9.957 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
9.958 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
9.958 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
9.958 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
9.958 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
9.958 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
9.958 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
9.958 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
9.958 * [taylor]: Taking taylor expansion of -1 in lambda2
9.958 * [backup-simplify]: Simplify -1 into -1
9.958 * [taylor]: Taking taylor expansion of lambda1 in lambda2
9.958 * [backup-simplify]: Simplify lambda1 into lambda1
9.958 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
9.958 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
9.958 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
9.958 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
9.958 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
9.958 * [taylor]: Taking taylor expansion of -1 in lambda2
9.958 * [backup-simplify]: Simplify -1 into -1
9.958 * [taylor]: Taking taylor expansion of lambda2 in lambda2
9.958 * [backup-simplify]: Simplify 0 into 0
9.958 * [backup-simplify]: Simplify 1 into 1
9.958 * [backup-simplify]: Simplify (/ -1 1) into -1
9.959 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
9.959 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
9.959 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
9.959 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
9.959 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
9.959 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
9.959 * [backup-simplify]: Simplify (+ 0) into 0
9.960 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
9.960 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
9.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
9.961 * [backup-simplify]: Simplify (+ 0 0) into 0
9.961 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
9.961 * [taylor]: Taking taylor expansion of 0 in lambda2
9.961 * [backup-simplify]: Simplify 0 into 0
9.961 * [backup-simplify]: Simplify 0 into 0
9.961 * [backup-simplify]: Simplify (+ 0) into 0
9.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
9.962 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
9.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
9.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
9.963 * [backup-simplify]: Simplify (+ 0 0) into 0
9.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
9.963 * [backup-simplify]: Simplify 0 into 0
9.964 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.964 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
9.964 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
9.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.965 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
9.965 * [backup-simplify]: Simplify (+ 0 0) into 0
9.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
9.966 * [taylor]: Taking taylor expansion of 0 in lambda2
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
9.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
9.967 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
9.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
9.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
9.968 * [backup-simplify]: Simplify (+ 0 0) into 0
9.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
9.968 * [backup-simplify]: Simplify 0 into 0
9.969 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
9.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.970 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
9.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
9.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
9.971 * [backup-simplify]: Simplify (+ 0 0) into 0
9.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
9.972 * [taylor]: Taking taylor expansion of 0 in lambda2
9.972 * [backup-simplify]: Simplify 0 into 0
9.972 * [backup-simplify]: Simplify 0 into 0
9.972 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
9.972 * * * [progress]: simplifying candidates
9.973 * [simplify]: Simplifying:
  (/ 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)))))))
  (log (* (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)))))))))
  (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log 1)
  (log (acos (+ (* (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)))))))
  (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (log (acos (+ (* (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))))))) (log (acos (+ (* (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))))))))
  (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (exp (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))))))) (log R))
  (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R))
  (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))
  (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R)))
  (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1)
  (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (- (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 (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (log (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))))
  (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
  (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* lambda2 lambda1)
  (* (sin lambda2) (sin lambda1))
  (* (sin lambda1) (sin lambda2))
9.975 * * [simplify]: iteration 0: 124 enodes
10.021 * * [simplify]: iteration 1: 243 enodes
10.100 * * [simplify]: iteration 2: 520 enodes
10.382 * * [simplify]: iteration 3: 1157 enodes
11.066 * * [simplify]: iteration 4: 2300 enodes
12.497 * * [simplify]: iteration 5: 4469 enodes
13.738 * * [simplify]: iteration complete: 5011 enodes
13.739 * * [simplify]: Extracting #0: cost 45 inf + 0
13.740 * * [simplify]: Extracting #1: cost 209 inf + 1
13.743 * * [simplify]: Extracting #2: cost 442 inf + 1087
13.749 * * [simplify]: Extracting #3: cost 532 inf + 8289
13.760 * * [simplify]: Extracting #4: cost 517 inf + 31705
13.771 * * [simplify]: Extracting #5: cost 441 inf + 59659
13.783 * * [simplify]: Extracting #6: cost 365 inf + 79173
13.807 * * [simplify]: Extracting #7: cost 305 inf + 130446
13.896 * * [simplify]: Extracting #8: cost 128 inf + 315351
13.999 * * [simplify]: Extracting #9: cost 32 inf + 436219
14.090 * * [simplify]: Extracting #10: cost 0 inf + 478471
14.198 * [simplify]: Simplified to:
  (/ PI 2)
  (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))
  (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (exp (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (* (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (+ (log (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))))
  (log (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (log (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (log (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  0
  (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (log (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))
  (* (cbrt (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))))
  (cbrt (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (* (* (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (sqrt (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (sqrt (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)
  (log (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
  (log (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
  (exp (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
  (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)))
  (* (cbrt (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)) (cbrt (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)))
  (cbrt (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
  (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)))
  (sqrt (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
  (sqrt (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R))
  (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt R))
  (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt R))
  (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt R))
  (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt R))
  (* (* (cbrt R) (cbrt R)) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R))
  (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))
  (* R (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) R)
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)
  (* R (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))
  (* (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) R)
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)
  (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))
  (* (sin lambda2) (sin lambda1))
  (log (* (sin lambda2) (sin lambda1)))
  (log (* (sin lambda2) (sin lambda1)))
  (exp (* (sin lambda2) (sin lambda1)))
  (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))
  (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1))))
  (cbrt (* (sin lambda2) (sin lambda1)))
  (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))
  (sqrt (* (sin lambda2) (sin lambda1)))
  (sqrt (* (sin lambda2) (sin lambda1)))
  (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
  (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
  (* (* (sin lambda1) (cbrt (sin lambda2))) (cbrt (sin lambda2)))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (sin lambda1)
  (* (sin lambda2) (cbrt (sin lambda1)))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda2) (sin lambda1))
  (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))
  (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))
  (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))
  (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)
  (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) R)
  (* lambda1 lambda2)
  (* (sin lambda2) (sin lambda1))
  (* (sin lambda2) (sin lambda1))
14.209 * * * [progress]: adding candidates to table
15.079 * * [progress]: iteration 4 / 4
15.079 * * * [progress]: picking best candidate
15.297 * * * * [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))>
15.297 * * * [progress]: localizing error
15.374 * * * [progress]: generating rewritten candidates
15.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
15.381 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
15.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
15.408 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2)
15.430 * * * [progress]: generating series expansions
15.430 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
15.430 * [backup-simplify]: Simplify (log (exp (* (sin phi1) (sin phi2)))) into (* (sin phi1) (sin phi2))
15.430 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
15.430 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
15.430 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
15.430 * [taylor]: Taking taylor expansion of phi1 in phi2
15.430 * [backup-simplify]: Simplify phi1 into phi1
15.430 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
15.430 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
15.430 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.430 * [taylor]: Taking taylor expansion of phi2 in phi2
15.430 * [backup-simplify]: Simplify 0 into 0
15.431 * [backup-simplify]: Simplify 1 into 1
15.431 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
15.431 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
15.431 * [taylor]: Taking taylor expansion of phi1 in phi1
15.431 * [backup-simplify]: Simplify 0 into 0
15.431 * [backup-simplify]: Simplify 1 into 1
15.431 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
15.431 * [taylor]: Taking taylor expansion of phi2 in phi1
15.431 * [backup-simplify]: Simplify phi2 into phi2
15.431 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.431 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.431 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
15.431 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
15.431 * [taylor]: Taking taylor expansion of phi1 in phi1
15.431 * [backup-simplify]: Simplify 0 into 0
15.431 * [backup-simplify]: Simplify 1 into 1
15.431 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
15.431 * [taylor]: Taking taylor expansion of phi2 in phi1
15.431 * [backup-simplify]: Simplify phi2 into phi2
15.431 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
15.431 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
15.431 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
15.431 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
15.432 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
15.432 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
15.432 * [taylor]: Taking taylor expansion of 0 in phi2
15.432 * [backup-simplify]: Simplify 0 into 0
15.432 * [backup-simplify]: Simplify 0 into 0
15.433 * [backup-simplify]: Simplify (+ 0) into 0
15.433 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
15.434 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.435 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
15.435 * [backup-simplify]: Simplify (+ 0 0) into 0
15.436 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.436 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
15.436 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.436 * [taylor]: Taking taylor expansion of phi2 in phi2
15.436 * [backup-simplify]: Simplify 0 into 0
15.437 * [backup-simplify]: Simplify 1 into 1
15.437 * [backup-simplify]: Simplify 0 into 0
15.437 * [backup-simplify]: Simplify 0 into 0
15.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.439 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
15.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.440 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
15.440 * [backup-simplify]: Simplify (+ 0 0) into 0
15.441 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
15.442 * [taylor]: Taking taylor expansion of 0 in phi2
15.442 * [backup-simplify]: Simplify 0 into 0
15.442 * [backup-simplify]: Simplify 0 into 0
15.443 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.443 * [backup-simplify]: Simplify 1 into 1
15.443 * [backup-simplify]: Simplify 0 into 0
15.444 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.445 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.447 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.448 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.448 * [backup-simplify]: Simplify (+ 0 0) into 0
15.450 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
15.451 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
15.451 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
15.451 * [taylor]: Taking taylor expansion of 1/6 in phi2
15.451 * [backup-simplify]: Simplify 1/6 into 1/6
15.451 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
15.451 * [taylor]: Taking taylor expansion of phi2 in phi2
15.451 * [backup-simplify]: Simplify 0 into 0
15.451 * [backup-simplify]: Simplify 1 into 1
15.452 * [backup-simplify]: Simplify (* 1/6 0) into 0
15.452 * [backup-simplify]: Simplify (- 0) into 0
15.452 * [backup-simplify]: Simplify 0 into 0
15.452 * [backup-simplify]: Simplify 0 into 0
15.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.454 * [backup-simplify]: Simplify 0 into 0
15.454 * [backup-simplify]: Simplify 0 into 0
15.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
15.457 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.459 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.460 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
15.460 * [backup-simplify]: Simplify (+ 0 0) into 0
15.462 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
15.464 * [taylor]: Taking taylor expansion of 0 in phi2
15.464 * [backup-simplify]: Simplify 0 into 0
15.464 * [backup-simplify]: Simplify 0 into 0
15.464 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2)
15.464 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.464 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0
15.464 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
15.464 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
15.464 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.464 * [taylor]: Taking taylor expansion of phi2 in phi2
15.464 * [backup-simplify]: Simplify 0 into 0
15.465 * [backup-simplify]: Simplify 1 into 1
15.465 * [backup-simplify]: Simplify (/ 1 1) into 1
15.465 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.465 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
15.465 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.465 * [taylor]: Taking taylor expansion of phi1 in phi2
15.465 * [backup-simplify]: Simplify phi1 into phi1
15.465 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.465 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.465 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.465 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
15.465 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
15.466 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.466 * [taylor]: Taking taylor expansion of phi2 in phi1
15.466 * [backup-simplify]: Simplify phi2 into phi2
15.466 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.466 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.466 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.466 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
15.466 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.466 * [taylor]: Taking taylor expansion of phi1 in phi1
15.466 * [backup-simplify]: Simplify 0 into 0
15.466 * [backup-simplify]: Simplify 1 into 1
15.466 * [backup-simplify]: Simplify (/ 1 1) into 1
15.466 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.467 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1
15.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
15.467 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
15.467 * [taylor]: Taking taylor expansion of phi2 in phi1
15.467 * [backup-simplify]: Simplify phi2 into phi2
15.467 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
15.467 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.467 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
15.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
15.467 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
15.467 * [taylor]: Taking taylor expansion of phi1 in phi1
15.467 * [backup-simplify]: Simplify 0 into 0
15.467 * [backup-simplify]: Simplify 1 into 1
15.467 * [backup-simplify]: Simplify (/ 1 1) into 1
15.468 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.468 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
15.468 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
15.468 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
15.468 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.468 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2
15.468 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
15.468 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
15.468 * [taylor]: Taking taylor expansion of phi2 in phi2
15.468 * [backup-simplify]: Simplify 0 into 0
15.468 * [backup-simplify]: Simplify 1 into 1
15.469 * [backup-simplify]: Simplify (/ 1 1) into 1
15.469 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
15.469 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
15.469 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
15.469 * [taylor]: Taking taylor expansion of phi1 in phi2
15.469 * [backup-simplify]: Simplify phi1 into phi1
15.469 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
15.469 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
15.469 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
15.469 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
15.469 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
15.469 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
15.470 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.470 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))
15.471 * [backup-simplify]: Simplify (+ 0) into 0
15.471 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
15.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
15.472 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.472 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
15.473 * [backup-simplify]: Simplify (+ 0 0) into 0
15.473 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
15.473 * [taylor]: Taking taylor expansion of 0 in phi2
15.473 * [backup-simplify]: Simplify 0 into 0
15.473 * [backup-simplify]: Simplify 0 into 0
15.474 * [backup-simplify]: Simplify (+ 0) into 0
15.474 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
15.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
15.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.476 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
15.476 * [backup-simplify]: Simplify (+ 0 0) into 0
15.476 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0
15.476 * [backup-simplify]: Simplify 0 into 0
15.477 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.478 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.479 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.480 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.480 * [backup-simplify]: Simplify (+ 0 0) into 0
15.481 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
15.481 * [taylor]: Taking taylor expansion of 0 in phi2
15.481 * [backup-simplify]: Simplify 0 into 0
15.481 * [backup-simplify]: Simplify 0 into 0
15.481 * [backup-simplify]: Simplify 0 into 0
15.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.482 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.483 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.483 * [backup-simplify]: Simplify (+ 0 0) into 0
15.483 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0
15.483 * [backup-simplify]: Simplify 0 into 0
15.484 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.485 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.486 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.486 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.486 * [backup-simplify]: Simplify (+ 0 0) into 0
15.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0
15.487 * [taylor]: Taking taylor expansion of 0 in phi2
15.487 * [backup-simplify]: Simplify 0 into 0
15.487 * [backup-simplify]: Simplify 0 into 0
15.487 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2))
15.487 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.487 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
15.487 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
15.487 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
15.487 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.487 * [taylor]: Taking taylor expansion of -1 in phi2
15.487 * [backup-simplify]: Simplify -1 into -1
15.487 * [taylor]: Taking taylor expansion of phi1 in phi2
15.487 * [backup-simplify]: Simplify phi1 into phi1
15.487 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.488 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.488 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.488 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
15.488 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.488 * [taylor]: Taking taylor expansion of -1 in phi2
15.488 * [backup-simplify]: Simplify -1 into -1
15.488 * [taylor]: Taking taylor expansion of phi2 in phi2
15.488 * [backup-simplify]: Simplify 0 into 0
15.488 * [backup-simplify]: Simplify 1 into 1
15.488 * [backup-simplify]: Simplify (/ -1 1) into -1
15.488 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
15.488 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
15.488 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.488 * [taylor]: Taking taylor expansion of -1 in phi1
15.488 * [backup-simplify]: Simplify -1 into -1
15.488 * [taylor]: Taking taylor expansion of phi1 in phi1
15.488 * [backup-simplify]: Simplify 0 into 0
15.488 * [backup-simplify]: Simplify 1 into 1
15.488 * [backup-simplify]: Simplify (/ -1 1) into -1
15.489 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.489 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
15.489 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.489 * [taylor]: Taking taylor expansion of -1 in phi1
15.489 * [backup-simplify]: Simplify -1 into -1
15.489 * [taylor]: Taking taylor expansion of phi2 in phi1
15.489 * [backup-simplify]: Simplify phi2 into phi2
15.489 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.489 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.489 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.489 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
15.489 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
15.489 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
15.489 * [taylor]: Taking taylor expansion of -1 in phi1
15.489 * [backup-simplify]: Simplify -1 into -1
15.489 * [taylor]: Taking taylor expansion of phi1 in phi1
15.489 * [backup-simplify]: Simplify 0 into 0
15.489 * [backup-simplify]: Simplify 1 into 1
15.489 * [backup-simplify]: Simplify (/ -1 1) into -1
15.489 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.489 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
15.489 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
15.489 * [taylor]: Taking taylor expansion of -1 in phi1
15.489 * [backup-simplify]: Simplify -1 into -1
15.489 * [taylor]: Taking taylor expansion of phi2 in phi1
15.489 * [backup-simplify]: Simplify phi2 into phi2
15.489 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
15.489 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.489 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
15.490 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
15.490 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
15.490 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
15.490 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.490 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
15.490 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
15.490 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
15.490 * [taylor]: Taking taylor expansion of -1 in phi2
15.490 * [backup-simplify]: Simplify -1 into -1
15.490 * [taylor]: Taking taylor expansion of phi1 in phi2
15.490 * [backup-simplify]: Simplify phi1 into phi1
15.490 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
15.490 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
15.490 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
15.490 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
15.490 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
15.490 * [taylor]: Taking taylor expansion of -1 in phi2
15.490 * [backup-simplify]: Simplify -1 into -1
15.490 * [taylor]: Taking taylor expansion of phi2 in phi2
15.490 * [backup-simplify]: Simplify 0 into 0
15.490 * [backup-simplify]: Simplify 1 into 1
15.490 * [backup-simplify]: Simplify (/ -1 1) into -1
15.490 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
15.491 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
15.491 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
15.491 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
15.491 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.491 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
15.491 * [backup-simplify]: Simplify (+ 0) into 0
15.491 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
15.492 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
15.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
15.493 * [backup-simplify]: Simplify (+ 0 0) into 0
15.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
15.493 * [taylor]: Taking taylor expansion of 0 in phi2
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify 0 into 0
15.493 * [backup-simplify]: Simplify (+ 0) into 0
15.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
15.493 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
15.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
15.494 * [backup-simplify]: Simplify (+ 0 0) into 0
15.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
15.495 * [backup-simplify]: Simplify 0 into 0
15.495 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.496 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.496 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.497 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.497 * [backup-simplify]: Simplify (+ 0 0) into 0
15.497 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
15.497 * [taylor]: Taking taylor expansion of 0 in phi2
15.497 * [backup-simplify]: Simplify 0 into 0
15.497 * [backup-simplify]: Simplify 0 into 0
15.497 * [backup-simplify]: Simplify 0 into 0
15.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.498 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.498 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
15.499 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.499 * [backup-simplify]: Simplify (+ 0 0) into 0
15.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
15.500 * [backup-simplify]: Simplify 0 into 0
15.500 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.501 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
15.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.503 * [backup-simplify]: Simplify (+ 0 0) into 0
15.503 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
15.503 * [taylor]: Taking taylor expansion of 0 in phi2
15.503 * [backup-simplify]: Simplify 0 into 0
15.503 * [backup-simplify]: Simplify 0 into 0
15.503 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
15.503 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
15.504 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.504 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
15.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
15.504 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
15.505 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.505 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
15.505 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.505 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
15.506 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.506 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
15.506 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.506 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
15.506 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.507 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
15.507 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.507 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
15.507 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.508 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.508 * [taylor]: Taking taylor expansion of 0 in phi2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda1
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda1
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in phi2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda1
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda1
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [taylor]: Taking taylor expansion of 0 in lambda2
15.508 * [backup-simplify]: Simplify 0 into 0
15.508 * [backup-simplify]: Simplify 0 into 0
15.509 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.509 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.510 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
15.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.511 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.512 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.512 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.513 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.514 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.515 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.516 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.516 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.517 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.517 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.518 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.519 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.519 * [taylor]: Taking taylor expansion of 0 in phi2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda1
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda1
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in phi2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda1
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda1
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [taylor]: Taking taylor expansion of 0 in lambda2
15.520 * [backup-simplify]: Simplify 0 into 0
15.520 * [backup-simplify]: Simplify 0 into 0
15.522 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
15.523 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.523 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
15.523 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
15.524 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.524 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
15.525 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.525 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
15.526 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.526 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.527 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.528 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.529 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
15.530 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
15.531 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
15.532 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.533 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.534 * [taylor]: Taking taylor expansion of 0 in phi2
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda1
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda2
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda1
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda2
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda2
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in phi2
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda1
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda2
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [backup-simplify]: Simplify 0 into 0
15.534 * [taylor]: Taking taylor expansion of 0 in lambda1
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [taylor]: Taking taylor expansion of 0 in lambda2
15.535 * [backup-simplify]: Simplify 0 into 0
15.535 * [backup-simplify]: Simplify 0 into 0
15.536 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.536 * * * * [progress]: [ 3 / 4 ] generating series at (2)
15.537 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.537 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0
15.537 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
15.537 * [taylor]: Taking taylor expansion of R in R
15.537 * [backup-simplify]: Simplify 0 into 0
15.537 * [backup-simplify]: Simplify 1 into 1
15.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
15.538 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.538 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
15.538 * [taylor]: Taking taylor expansion of R in lambda2
15.538 * [backup-simplify]: Simplify R into R
15.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
15.539 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.539 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
15.539 * [taylor]: Taking taylor expansion of R in lambda1
15.539 * [backup-simplify]: Simplify R into R
15.539 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
15.540 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.540 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
15.540 * [taylor]: Taking taylor expansion of R in phi2
15.540 * [backup-simplify]: Simplify R into R
15.540 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
15.541 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.541 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
15.541 * [taylor]: Taking taylor expansion of R in phi1
15.541 * [backup-simplify]: Simplify R into R
15.541 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
15.542 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.542 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1
15.542 * [taylor]: Taking taylor expansion of R in phi1
15.542 * [backup-simplify]: Simplify R into R
15.542 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1
15.543 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.544 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.544 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2
15.544 * [taylor]: Taking taylor expansion of R in phi2
15.544 * [backup-simplify]: Simplify R into R
15.544 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2
15.544 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.545 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.545 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1
15.545 * [taylor]: Taking taylor expansion of R in lambda1
15.545 * [backup-simplify]: Simplify R into R
15.545 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1
15.546 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.547 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.547 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2
15.547 * [taylor]: Taking taylor expansion of R in lambda2
15.547 * [backup-simplify]: Simplify R into R
15.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2
15.548 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.549 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.554 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R
15.554 * [taylor]: Taking taylor expansion of R in R
15.554 * [backup-simplify]: Simplify 0 into 0
15.554 * [backup-simplify]: Simplify 1 into 1
15.554 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R
15.555 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.556 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0
15.556 * [backup-simplify]: Simplify 0 into 0
15.557 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.557 * [taylor]: Taking taylor expansion of 0 in phi2
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [taylor]: Taking taylor expansion of 0 in lambda1
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [taylor]: Taking taylor expansion of 0 in lambda2
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [taylor]: Taking taylor expansion of 0 in R
15.557 * [backup-simplify]: Simplify 0 into 0
15.557 * [backup-simplify]: Simplify 0 into 0
15.558 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.558 * [taylor]: Taking taylor expansion of 0 in lambda1
15.558 * [backup-simplify]: Simplify 0 into 0
15.558 * [taylor]: Taking taylor expansion of 0 in lambda2
15.558 * [backup-simplify]: Simplify 0 into 0
15.558 * [taylor]: Taking taylor expansion of 0 in R
15.558 * [backup-simplify]: Simplify 0 into 0
15.558 * [backup-simplify]: Simplify 0 into 0
15.559 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.559 * [taylor]: Taking taylor expansion of 0 in lambda2
15.559 * [backup-simplify]: Simplify 0 into 0
15.559 * [taylor]: Taking taylor expansion of 0 in R
15.559 * [backup-simplify]: Simplify 0 into 0
15.559 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0
15.560 * [taylor]: Taking taylor expansion of 0 in R
15.560 * [backup-simplify]: Simplify 0 into 0
15.560 * [backup-simplify]: Simplify 0 into 0
15.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.563 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
15.564 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
15.564 * [taylor]: Taking taylor expansion of 0 in phi2
15.564 * [backup-simplify]: Simplify 0 into 0
15.564 * [taylor]: Taking taylor expansion of 0 in lambda1
15.564 * [backup-simplify]: Simplify 0 into 0
15.564 * [taylor]: Taking taylor expansion of 0 in lambda2
15.564 * [backup-simplify]: Simplify 0 into 0
15.564 * [taylor]: Taking taylor expansion of 0 in R
15.564 * [backup-simplify]: Simplify 0 into 0
15.565 * [backup-simplify]: Simplify 0 into 0
15.565 * [taylor]: Taking taylor expansion of 0 in lambda1
15.565 * [backup-simplify]: Simplify 0 into 0
15.565 * [taylor]: Taking taylor expansion of 0 in lambda2
15.565 * [backup-simplify]: Simplify 0 into 0
15.565 * [taylor]: Taking taylor expansion of 0 in R
15.565 * [backup-simplify]: Simplify 0 into 0
15.565 * [backup-simplify]: Simplify 0 into 0
15.567 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
15.567 * [taylor]: Taking taylor expansion of 0 in lambda1
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [taylor]: Taking taylor expansion of 0 in lambda2
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [taylor]: Taking taylor expansion of 0 in R
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [taylor]: Taking taylor expansion of 0 in lambda2
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [taylor]: Taking taylor expansion of 0 in R
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [taylor]: Taking taylor expansion of 0 in lambda2
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [taylor]: Taking taylor expansion of 0 in R
15.567 * [backup-simplify]: Simplify 0 into 0
15.567 * [backup-simplify]: Simplify 0 into 0
15.569 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0
15.569 * [taylor]: Taking taylor expansion of 0 in lambda2
15.569 * [backup-simplify]: Simplify 0 into 0
15.569 * [taylor]: Taking taylor expansion of 0 in R
15.569 * [backup-simplify]: Simplify 0 into 0
15.569 * [backup-simplify]: Simplify 0 into 0
15.570 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.570 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.570 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
15.570 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
15.570 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
15.571 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.571 * [taylor]: Taking taylor expansion of R in R
15.571 * [backup-simplify]: Simplify 0 into 0
15.571 * [backup-simplify]: Simplify 1 into 1
15.572 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.572 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
15.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.572 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.572 * [taylor]: Taking taylor expansion of R in lambda2
15.572 * [backup-simplify]: Simplify R into R
15.573 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.573 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
15.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.573 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.573 * [taylor]: Taking taylor expansion of R in lambda1
15.573 * [backup-simplify]: Simplify R into R
15.574 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.574 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
15.574 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.574 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.574 * [taylor]: Taking taylor expansion of R in phi2
15.575 * [backup-simplify]: Simplify R into R
15.575 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.575 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
15.575 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.576 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.576 * [taylor]: Taking taylor expansion of R in phi1
15.576 * [backup-simplify]: Simplify R into R
15.576 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.576 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1
15.576 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1
15.577 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.577 * [taylor]: Taking taylor expansion of R in phi1
15.577 * [backup-simplify]: Simplify R into R
15.577 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.577 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2
15.578 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2
15.578 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.578 * [taylor]: Taking taylor expansion of R in phi2
15.578 * [backup-simplify]: Simplify R into R
15.579 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.579 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1
15.579 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1
15.579 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.579 * [taylor]: Taking taylor expansion of R in lambda1
15.579 * [backup-simplify]: Simplify R into R
15.580 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.580 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2
15.580 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2
15.580 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.580 * [taylor]: Taking taylor expansion of R in lambda2
15.580 * [backup-simplify]: Simplify R into R
15.581 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R)
15.581 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R
15.581 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R
15.582 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.582 * [taylor]: Taking taylor expansion of R in R
15.582 * [backup-simplify]: Simplify 0 into 0
15.582 * [backup-simplify]: Simplify 1 into 1
15.582 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.583 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))
15.584 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.584 * [taylor]: Taking taylor expansion of 0 in phi2
15.584 * [backup-simplify]: Simplify 0 into 0
15.584 * [taylor]: Taking taylor expansion of 0 in lambda1
15.584 * [backup-simplify]: Simplify 0 into 0
15.584 * [taylor]: Taking taylor expansion of 0 in lambda2
15.584 * [backup-simplify]: Simplify 0 into 0
15.584 * [taylor]: Taking taylor expansion of 0 in R
15.584 * [backup-simplify]: Simplify 0 into 0
15.585 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.585 * [taylor]: Taking taylor expansion of 0 in lambda1
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [taylor]: Taking taylor expansion of 0 in lambda2
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [taylor]: Taking taylor expansion of 0 in R
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.585 * [taylor]: Taking taylor expansion of 0 in lambda2
15.585 * [backup-simplify]: Simplify 0 into 0
15.585 * [taylor]: Taking taylor expansion of 0 in R
15.585 * [backup-simplify]: Simplify 0 into 0
15.586 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
15.586 * [taylor]: Taking taylor expansion of 0 in R
15.586 * [backup-simplify]: Simplify 0 into 0
15.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
15.587 * [backup-simplify]: Simplify 0 into 0
15.588 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.588 * [taylor]: Taking taylor expansion of 0 in phi2
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [taylor]: Taking taylor expansion of 0 in lambda1
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [taylor]: Taking taylor expansion of 0 in lambda2
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [taylor]: Taking taylor expansion of 0 in R
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [taylor]: Taking taylor expansion of 0 in lambda1
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [taylor]: Taking taylor expansion of 0 in lambda2
15.588 * [backup-simplify]: Simplify 0 into 0
15.588 * [taylor]: Taking taylor expansion of 0 in R
15.588 * [backup-simplify]: Simplify 0 into 0
15.589 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.589 * [taylor]: Taking taylor expansion of 0 in lambda1
15.589 * [backup-simplify]: Simplify 0 into 0
15.589 * [taylor]: Taking taylor expansion of 0 in lambda2
15.589 * [backup-simplify]: Simplify 0 into 0
15.589 * [taylor]: Taking taylor expansion of 0 in R
15.589 * [backup-simplify]: Simplify 0 into 0
15.589 * [taylor]: Taking taylor expansion of 0 in lambda2
15.589 * [backup-simplify]: Simplify 0 into 0
15.589 * [taylor]: Taking taylor expansion of 0 in R
15.589 * [backup-simplify]: Simplify 0 into 0
15.589 * [taylor]: Taking taylor expansion of 0 in lambda2
15.589 * [backup-simplify]: Simplify 0 into 0
15.589 * [taylor]: Taking taylor expansion of 0 in R
15.589 * [backup-simplify]: Simplify 0 into 0
15.590 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.590 * [taylor]: Taking taylor expansion of 0 in lambda2
15.590 * [backup-simplify]: Simplify 0 into 0
15.590 * [taylor]: Taking taylor expansion of 0 in R
15.590 * [backup-simplify]: Simplify 0 into 0
15.590 * [taylor]: Taking taylor expansion of 0 in R
15.590 * [backup-simplify]: Simplify 0 into 0
15.590 * [taylor]: Taking taylor expansion of 0 in R
15.590 * [backup-simplify]: Simplify 0 into 0
15.590 * [taylor]: Taking taylor expansion of 0 in R
15.590 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.591 * [taylor]: Taking taylor expansion of 0 in R
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.591 * [backup-simplify]: Simplify 0 into 0
15.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.593 * [backup-simplify]: Simplify 0 into 0
15.594 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
15.594 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
15.594 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
15.594 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
15.595 * [taylor]: Taking taylor expansion of -1 in R
15.595 * [backup-simplify]: Simplify -1 into -1
15.595 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
15.595 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
15.595 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.595 * [taylor]: Taking taylor expansion of R in R
15.595 * [backup-simplify]: Simplify 0 into 0
15.595 * [backup-simplify]: Simplify 1 into 1
15.596 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.596 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2
15.596 * [taylor]: Taking taylor expansion of -1 in lambda2
15.596 * [backup-simplify]: Simplify -1 into -1
15.596 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2
15.596 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2
15.596 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.596 * [taylor]: Taking taylor expansion of R in lambda2
15.596 * [backup-simplify]: Simplify R into R
15.597 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.597 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
15.597 * [taylor]: Taking taylor expansion of -1 in lambda1
15.597 * [backup-simplify]: Simplify -1 into -1
15.597 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
15.597 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
15.598 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.598 * [taylor]: Taking taylor expansion of R in lambda1
15.598 * [backup-simplify]: Simplify R into R
15.598 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.598 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2
15.598 * [taylor]: Taking taylor expansion of -1 in phi2
15.598 * [backup-simplify]: Simplify -1 into -1
15.598 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2
15.598 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2
15.599 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.599 * [taylor]: Taking taylor expansion of R in phi2
15.599 * [backup-simplify]: Simplify R into R
15.599 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.599 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
15.599 * [taylor]: Taking taylor expansion of -1 in phi1
15.599 * [backup-simplify]: Simplify -1 into -1
15.600 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
15.600 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.600 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.600 * [taylor]: Taking taylor expansion of R in phi1
15.600 * [backup-simplify]: Simplify R into R
15.601 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.601 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1
15.601 * [taylor]: Taking taylor expansion of -1 in phi1
15.601 * [backup-simplify]: Simplify -1 into -1
15.601 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1
15.601 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1
15.602 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.602 * [taylor]: Taking taylor expansion of R in phi1
15.602 * [backup-simplify]: Simplify R into R
15.603 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.604 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
15.604 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2
15.604 * [taylor]: Taking taylor expansion of -1 in phi2
15.604 * [backup-simplify]: Simplify -1 into -1
15.604 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2
15.604 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2
15.605 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.605 * [taylor]: Taking taylor expansion of R in phi2
15.605 * [backup-simplify]: Simplify R into R
15.607 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
15.608 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
15.608 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1
15.608 * [taylor]: Taking taylor expansion of -1 in lambda1
15.608 * [backup-simplify]: Simplify -1 into -1
15.608 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1
15.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1
15.609 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.609 * [taylor]: Taking taylor expansion of R in lambda1
15.609 * [backup-simplify]: Simplify R into R
15.610 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)
15.611 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))
15.611 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2
15.611 * [taylor]: Taking taylor expansion of -1 in lambda2
15.611 * [backup-simplify]: Simplify -1 into -1
15.611 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2
15.611 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2
15.612 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.612 * [taylor]: Taking taylor expansion of R in lambda2
15.612 * [backup-simplify]: Simplify R into R
15.614 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)
15.615 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))
15.615 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R
15.615 * [taylor]: Taking taylor expansion of -1 in R
15.615 * [backup-simplify]: Simplify -1 into -1
15.615 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R
15.615 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R
15.616 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))
15.616 * [taylor]: Taking taylor expansion of R in R
15.616 * [backup-simplify]: Simplify 0 into 0
15.616 * [backup-simplify]: Simplify 1 into 1
15.617 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))
15.618 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))))
15.619 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))
15.621 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
15.623 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
15.623 * [taylor]: Taking taylor expansion of 0 in phi2
15.623 * [backup-simplify]: Simplify 0 into 0
15.623 * [taylor]: Taking taylor expansion of 0 in lambda1
15.623 * [backup-simplify]: Simplify 0 into 0
15.623 * [taylor]: Taking taylor expansion of 0 in lambda2
15.623 * [backup-simplify]: Simplify 0 into 0
15.623 * [taylor]: Taking taylor expansion of 0 in R
15.623 * [backup-simplify]: Simplify 0 into 0
15.624 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
15.626 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
15.626 * [taylor]: Taking taylor expansion of 0 in lambda1
15.626 * [backup-simplify]: Simplify 0 into 0
15.626 * [taylor]: Taking taylor expansion of 0 in lambda2
15.626 * [backup-simplify]: Simplify 0 into 0
15.626 * [taylor]: Taking taylor expansion of 0 in R
15.626 * [backup-simplify]: Simplify 0 into 0
15.627 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0
15.629 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0
15.629 * [taylor]: Taking taylor expansion of 0 in lambda2
15.630 * [backup-simplify]: Simplify 0 into 0
15.630 * [taylor]: Taking taylor expansion of 0 in R
15.630 * [backup-simplify]: Simplify 0 into 0
15.631 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0
15.633 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0
15.633 * [taylor]: Taking taylor expansion of 0 in R
15.633 * [backup-simplify]: Simplify 0 into 0
15.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0
15.637 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0
15.637 * [backup-simplify]: Simplify 0 into 0
15.639 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.641 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
15.641 * [taylor]: Taking taylor expansion of 0 in phi2
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [taylor]: Taking taylor expansion of 0 in lambda1
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [taylor]: Taking taylor expansion of 0 in lambda2
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [taylor]: Taking taylor expansion of 0 in R
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [taylor]: Taking taylor expansion of 0 in lambda1
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [taylor]: Taking taylor expansion of 0 in lambda2
15.641 * [backup-simplify]: Simplify 0 into 0
15.641 * [taylor]: Taking taylor expansion of 0 in R
15.641 * [backup-simplify]: Simplify 0 into 0
15.643 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.646 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
15.646 * [taylor]: Taking taylor expansion of 0 in lambda1
15.646 * [backup-simplify]: Simplify 0 into 0
15.646 * [taylor]: Taking taylor expansion of 0 in lambda2
15.646 * [backup-simplify]: Simplify 0 into 0
15.646 * [taylor]: Taking taylor expansion of 0 in R
15.646 * [backup-simplify]: Simplify 0 into 0
15.646 * [taylor]: Taking taylor expansion of 0 in lambda2
15.646 * [backup-simplify]: Simplify 0 into 0
15.646 * [taylor]: Taking taylor expansion of 0 in R
15.646 * [backup-simplify]: Simplify 0 into 0
15.646 * [taylor]: Taking taylor expansion of 0 in lambda2
15.646 * [backup-simplify]: Simplify 0 into 0
15.647 * [taylor]: Taking taylor expansion of 0 in R
15.647 * [backup-simplify]: Simplify 0 into 0
15.648 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0
15.652 * [taylor]: Taking taylor expansion of 0 in lambda2
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [taylor]: Taking taylor expansion of 0 in R
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [taylor]: Taking taylor expansion of 0 in R
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [taylor]: Taking taylor expansion of 0 in R
15.652 * [backup-simplify]: Simplify 0 into 0
15.652 * [taylor]: Taking taylor expansion of 0 in R
15.652 * [backup-simplify]: Simplify 0 into 0
15.653 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
15.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0
15.655 * [taylor]: Taking taylor expansion of 0 in R
15.655 * [backup-simplify]: Simplify 0 into 0
15.655 * [backup-simplify]: Simplify 0 into 0
15.655 * [backup-simplify]: Simplify 0 into 0
15.655 * [backup-simplify]: Simplify 0 into 0
15.655 * [backup-simplify]: Simplify 0 into 0
15.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.658 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0
15.658 * [backup-simplify]: Simplify 0 into 0
15.659 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
15.659 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2)
15.660 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
15.660 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
15.660 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
15.660 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
15.660 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.660 * [backup-simplify]: Simplify lambda1 into lambda1
15.660 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
15.660 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
15.660 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.660 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 1 into 1
15.660 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
15.660 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.660 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 1 into 1
15.660 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
15.660 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.660 * [backup-simplify]: Simplify lambda2 into lambda2
15.660 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.660 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.660 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
15.660 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
15.660 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.660 * [backup-simplify]: Simplify 0 into 0
15.660 * [backup-simplify]: Simplify 1 into 1
15.660 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
15.660 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.660 * [backup-simplify]: Simplify lambda2 into lambda2
15.660 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
15.660 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
15.660 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
15.660 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
15.661 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
15.661 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
15.661 * [taylor]: Taking taylor expansion of 0 in lambda2
15.661 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify 0 into 0
15.661 * [backup-simplify]: Simplify (+ 0) into 0
15.661 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
15.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.662 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
15.662 * [backup-simplify]: Simplify (+ 0 0) into 0
15.663 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
15.663 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.663 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.663 * [backup-simplify]: Simplify 0 into 0
15.663 * [backup-simplify]: Simplify 1 into 1
15.663 * [backup-simplify]: Simplify 0 into 0
15.663 * [backup-simplify]: Simplify 0 into 0
15.664 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.664 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
15.664 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.665 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
15.665 * [backup-simplify]: Simplify (+ 0 0) into 0
15.666 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
15.666 * [taylor]: Taking taylor expansion of 0 in lambda2
15.666 * [backup-simplify]: Simplify 0 into 0
15.666 * [backup-simplify]: Simplify 0 into 0
15.667 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
15.667 * [backup-simplify]: Simplify 1 into 1
15.667 * [backup-simplify]: Simplify 0 into 0
15.667 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.668 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.669 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.669 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.669 * [backup-simplify]: Simplify (+ 0 0) into 0
15.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
15.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2)))
15.671 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
15.671 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
15.671 * [taylor]: Taking taylor expansion of 1/6 in lambda2
15.671 * [backup-simplify]: Simplify 1/6 into 1/6
15.671 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
15.671 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.671 * [backup-simplify]: Simplify 0 into 0
15.671 * [backup-simplify]: Simplify 1 into 1
15.671 * [backup-simplify]: Simplify (* 1/6 0) into 0
15.672 * [backup-simplify]: Simplify (- 0) into 0
15.672 * [backup-simplify]: Simplify 0 into 0
15.672 * [backup-simplify]: Simplify 0 into 0
15.672 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.672 * [backup-simplify]: Simplify 0 into 0
15.672 * [backup-simplify]: Simplify 0 into 0
15.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0
15.674 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
15.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.676 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
15.676 * [backup-simplify]: Simplify (+ 0 0) into 0
15.679 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
15.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0
15.680 * [taylor]: Taking taylor expansion of 0 in lambda2
15.680 * [backup-simplify]: Simplify 0 into 0
15.680 * [backup-simplify]: Simplify 0 into 0
15.680 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
15.680 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.680 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0
15.680 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
15.680 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
15.680 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
15.680 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.680 * [backup-simplify]: Simplify 0 into 0
15.680 * [backup-simplify]: Simplify 1 into 1
15.680 * [backup-simplify]: Simplify (/ 1 1) into 1
15.680 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.680 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
15.680 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
15.681 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.681 * [backup-simplify]: Simplify lambda1 into lambda1
15.681 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.681 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.681 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
15.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
15.681 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
15.681 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.681 * [backup-simplify]: Simplify lambda2 into lambda2
15.681 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.681 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.681 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
15.681 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
15.681 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.681 * [backup-simplify]: Simplify 0 into 0
15.681 * [backup-simplify]: Simplify 1 into 1
15.681 * [backup-simplify]: Simplify (/ 1 1) into 1
15.681 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1
15.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
15.682 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
15.682 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.682 * [backup-simplify]: Simplify lambda2 into lambda2
15.682 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
15.682 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.682 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
15.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
15.682 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
15.682 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.682 * [backup-simplify]: Simplify 0 into 0
15.682 * [backup-simplify]: Simplify 1 into 1
15.682 * [backup-simplify]: Simplify (/ 1 1) into 1
15.682 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.682 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
15.682 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
15.682 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
15.682 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2
15.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
15.682 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
15.682 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.682 * [backup-simplify]: Simplify 0 into 0
15.683 * [backup-simplify]: Simplify 1 into 1
15.683 * [backup-simplify]: Simplify (/ 1 1) into 1
15.683 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
15.683 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
15.683 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
15.683 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.683 * [backup-simplify]: Simplify lambda1 into lambda1
15.683 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
15.683 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
15.683 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
15.683 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
15.683 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
15.683 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
15.683 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.683 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))
15.684 * [backup-simplify]: Simplify (+ 0) into 0
15.684 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
15.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
15.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
15.685 * [backup-simplify]: Simplify (+ 0 0) into 0
15.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
15.685 * [taylor]: Taking taylor expansion of 0 in lambda2
15.685 * [backup-simplify]: Simplify 0 into 0
15.685 * [backup-simplify]: Simplify 0 into 0
15.686 * [backup-simplify]: Simplify (+ 0) into 0
15.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
15.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
15.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
15.687 * [backup-simplify]: Simplify (+ 0 0) into 0
15.687 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0
15.687 * [backup-simplify]: Simplify 0 into 0
15.688 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.689 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.689 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.689 * [backup-simplify]: Simplify (+ 0 0) into 0
15.690 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
15.690 * [taylor]: Taking taylor expansion of 0 in lambda2
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify 0 into 0
15.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.691 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
15.691 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.692 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.692 * [backup-simplify]: Simplify (+ 0 0) into 0
15.692 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0
15.692 * [backup-simplify]: Simplify 0 into 0
15.693 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.696 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.696 * [backup-simplify]: Simplify (+ 0 0) into 0
15.697 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0
15.697 * [taylor]: Taking taylor expansion of 0 in lambda2
15.697 * [backup-simplify]: Simplify 0 into 0
15.697 * [backup-simplify]: Simplify 0 into 0
15.698 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1))
15.698 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.698 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
15.698 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
15.698 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
15.698 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
15.698 * [taylor]: Taking taylor expansion of -1 in lambda2
15.698 * [backup-simplify]: Simplify -1 into -1
15.698 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.698 * [backup-simplify]: Simplify lambda1 into lambda1
15.698 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.698 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.698 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.698 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
15.698 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
15.698 * [taylor]: Taking taylor expansion of -1 in lambda2
15.698 * [backup-simplify]: Simplify -1 into -1
15.698 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.698 * [backup-simplify]: Simplify 0 into 0
15.698 * [backup-simplify]: Simplify 1 into 1
15.699 * [backup-simplify]: Simplify (/ -1 1) into -1
15.699 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.699 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
15.699 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
15.699 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
15.699 * [taylor]: Taking taylor expansion of -1 in lambda1
15.699 * [backup-simplify]: Simplify -1 into -1
15.699 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.699 * [backup-simplify]: Simplify 0 into 0
15.699 * [backup-simplify]: Simplify 1 into 1
15.700 * [backup-simplify]: Simplify (/ -1 1) into -1
15.700 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.700 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
15.700 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
15.700 * [taylor]: Taking taylor expansion of -1 in lambda1
15.700 * [backup-simplify]: Simplify -1 into -1
15.700 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.700 * [backup-simplify]: Simplify lambda2 into lambda2
15.700 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.700 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.700 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.700 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
15.700 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
15.700 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
15.700 * [taylor]: Taking taylor expansion of -1 in lambda1
15.700 * [backup-simplify]: Simplify -1 into -1
15.700 * [taylor]: Taking taylor expansion of lambda1 in lambda1
15.700 * [backup-simplify]: Simplify 0 into 0
15.700 * [backup-simplify]: Simplify 1 into 1
15.701 * [backup-simplify]: Simplify (/ -1 1) into -1
15.701 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.701 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
15.701 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
15.701 * [taylor]: Taking taylor expansion of -1 in lambda1
15.701 * [backup-simplify]: Simplify -1 into -1
15.701 * [taylor]: Taking taylor expansion of lambda2 in lambda1
15.701 * [backup-simplify]: Simplify lambda2 into lambda2
15.701 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
15.701 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.701 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
15.702 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
15.702 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
15.702 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
15.702 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.702 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
15.702 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
15.702 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
15.702 * [taylor]: Taking taylor expansion of -1 in lambda2
15.702 * [backup-simplify]: Simplify -1 into -1
15.702 * [taylor]: Taking taylor expansion of lambda1 in lambda2
15.702 * [backup-simplify]: Simplify lambda1 into lambda1
15.702 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
15.702 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
15.702 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
15.702 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
15.702 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
15.703 * [taylor]: Taking taylor expansion of -1 in lambda2
15.703 * [backup-simplify]: Simplify -1 into -1
15.703 * [taylor]: Taking taylor expansion of lambda2 in lambda2
15.703 * [backup-simplify]: Simplify 0 into 0
15.703 * [backup-simplify]: Simplify 1 into 1
15.703 * [backup-simplify]: Simplify (/ -1 1) into -1
15.703 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
15.703 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
15.703 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
15.704 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
15.704 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.704 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
15.704 * [backup-simplify]: Simplify (+ 0) into 0
15.705 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
15.705 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
15.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.706 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
15.707 * [backup-simplify]: Simplify (+ 0 0) into 0
15.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.707 * [taylor]: Taking taylor expansion of 0 in lambda2
15.707 * [backup-simplify]: Simplify 0 into 0
15.707 * [backup-simplify]: Simplify 0 into 0
15.707 * [backup-simplify]: Simplify (+ 0) into 0
15.708 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
15.708 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
15.709 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
15.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
15.710 * [backup-simplify]: Simplify (+ 0 0) into 0
15.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
15.710 * [backup-simplify]: Simplify 0 into 0
15.711 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
15.712 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.713 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
15.713 * [backup-simplify]: Simplify (+ 0 0) into 0
15.714 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
15.714 * [taylor]: Taking taylor expansion of 0 in lambda2
15.714 * [backup-simplify]: Simplify 0 into 0
15.714 * [backup-simplify]: Simplify 0 into 0
15.714 * [backup-simplify]: Simplify 0 into 0
15.715 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
15.716 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
15.716 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
15.717 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
15.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
15.718 * [backup-simplify]: Simplify (+ 0 0) into 0
15.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
15.718 * [backup-simplify]: Simplify 0 into 0
15.719 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
15.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
15.720 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
15.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
15.723 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
15.723 * [backup-simplify]: Simplify (+ 0 0) into 0
15.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
15.724 * [taylor]: Taking taylor expansion of 0 in lambda2
15.724 * [backup-simplify]: Simplify 0 into 0
15.724 * [backup-simplify]: Simplify 0 into 0
15.724 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
15.724 * * * [progress]: simplifying candidates
15.726 * [simplify]: Simplifying:
  (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)))))))
  (* (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)
  (- (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))
  (* phi1 phi2)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R)
  (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* lambda2 lambda1)
  (* (sin lambda2) (sin lambda1))
  (* (sin lambda1) (sin lambda2))
15.729 * * [simplify]: iteration 0: 121 enodes
15.773 * * [simplify]: iteration 1: 232 enodes
15.842 * * [simplify]: iteration 2: 526 enodes
16.056 * * [simplify]: iteration 3: 1293 enodes
16.880 * * [simplify]: iteration 4: 2857 enodes
18.147 * * [simplify]: iteration complete: 5000 enodes
18.147 * * [simplify]: Extracting #0: cost 49 inf + 0
18.147 * * [simplify]: Extracting #1: cost 318 inf + 1
18.150 * * [simplify]: Extracting #2: cost 809 inf + 2007
18.163 * * [simplify]: Extracting #3: cost 844 inf + 36730
18.199 * * [simplify]: Extracting #4: cost 656 inf + 104612
18.238 * * [simplify]: Extracting #5: cost 391 inf + 232260
18.354 * * [simplify]: Extracting #6: cost 73 inf + 512620
18.505 * * [simplify]: Extracting #7: cost 3 inf + 589029
18.619 * * [simplify]: Extracting #8: cost 0 inf + 593561
18.724 * [simplify]: Simplified to:
  (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)))))
  0
  (* (sin phi1) (sin phi2))
  (sin phi1)
  (* (sin phi1) (sin phi2))
  (sin phi1)
  (log (* (sin phi1) (sin phi2)))
  (exp (* (sin phi1) (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)))
  (/ PI 2)
  (asin (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))
  (log (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (exp (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (cbrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (sqrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (sqrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (log (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (log (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (exp (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (* (* (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (* (cbrt (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))))
  (cbrt (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (* (* (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (sqrt (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (sqrt (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (* (sqrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (sqrt R))
  (* (sqrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (sqrt R))
  (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* (sqrt R) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))
  (* R (cbrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))
  (* (sqrt (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R)
  (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1)))
  (* (sin lambda1) (sin lambda2))
  (log (* (sin lambda1) (sin lambda2)))
  (log (* (sin lambda1) (sin lambda2)))
  (exp (* (sin lambda1) (sin lambda2)))
  (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (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 lambda2)) (sqrt (sin lambda1)))
  (* (sqrt (sin lambda2)) (sqrt (sin lambda1)))
  (* (cbrt (sin lambda2)) (* (cbrt (sin lambda2)) (sin lambda1)))
  (* (sin lambda1) (sqrt (sin lambda2)))
  (sin lambda1)
  (* (cbrt (sin lambda1)) (sin lambda2))
  (* (sqrt (sin lambda1)) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* phi1 phi2)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
  (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))
  (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))
  (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))
  (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* R (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
18.734 * * * [progress]: adding candidates to table
19.453 * [progress]: [Phase 3 of 3] Extracting.
19.453 * * [regime]: Finding splitpoints for: (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
19.479 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R)
19.479 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
19.759 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
20.050 * * * * [regimes]: Trying to branch on phi2 from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
20.255 * * * * [regimes]: Trying to branch on phi1 from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
20.441 * * * * [regimes]: Trying to branch on lambda2 from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
20.642 * * * * [regimes]: Trying to branch on lambda1 from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
20.930 * * * * [regimes]: Trying to branch on R from (#<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)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (log (exp (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 (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (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) (* (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (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) (* (exp (* (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (cbrt (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (* (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)))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cbrt (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (sqrt (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) (* (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (cos phi1) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (sqrt R)) (sqrt R)))>)
21.228 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
21.229 * [simplify]: Simplifying:
  (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)
21.229 * * [simplify]: iteration 0: 24 enodes
21.231 * * [simplify]: iteration 1: 32 enodes
21.233 * * [simplify]: iteration complete: 32 enodes
21.233 * * [simplify]: Extracting #0: cost 1 inf + 0
21.233 * * [simplify]: Extracting #1: cost 3 inf + 0
21.233 * * [simplify]: Extracting #2: cost 3 inf + 1
21.233 * * [simplify]: Extracting #3: cost 5 inf + 1
21.233 * * [simplify]: Extracting #4: cost 8 inf + 1
21.233 * * [simplify]: Extracting #5: cost 13 inf + 1
21.233 * * [simplify]: Extracting #6: cost 21 inf + 1
21.234 * * [simplify]: Extracting #7: cost 19 inf + 125
21.234 * * [simplify]: Extracting #8: cost 10 inf + 655
21.234 * * [simplify]: Extracting #9: cost 6 inf + 1373
21.234 * * [simplify]: Extracting #10: cost 4 inf + 2037
21.235 * * [simplify]: Extracting #11: cost 2 inf + 3505
21.236 * * [simplify]: Extracting #12: cost 1 inf + 4499
21.237 * * [simplify]: Extracting #13: cost 0 inf + 5534
21.238 * [simplify]: Simplified to:
  (* (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin phi2) (sin phi1)))))) R)
43.588 * [regime-testing]: Baseline error score: 3.7776568720449393
43.605 * [regime-testing]: Oracle error score: 3.4302850444422117
43.632 * [regime-testing]: End program error score: 3.7776568720449393