0.705 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.692 * * * [progress]: [2/2] Setting up program.
0.703 * [progress]: [Phase 2 of 3] Improving.
0.706 * [simplify]: Simplifying:
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.707 * [simplify]: Sending expressions to egg_math:
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h2 h1))))) h0)
0.758 * * [progress]: iteration 1 / 4
0.758 * * * [progress]: picking best candidate
0.766 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
0.766 * * * [progress]: localizing error
0.810 * * * [progress]: generating rewritten candidates
0.811 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
0.896 * * * [progress]: generating series expansions
0.896 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.901 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2))
0.901 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
0.903 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
0.903 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
0.903 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.903 * [backup-simplify]: Simplify lambda1 into lambda1
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
0.904 * [backup-simplify]: Simplify (- 0) into 0
0.904 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1
0.904 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
0.905 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
0.905 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.905 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.905 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.905 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify 1 into 1
0.905 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.905 * [backup-simplify]: Simplify lambda2 into lambda2
0.905 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
0.905 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
0.905 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
0.905 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
0.905 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.905 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.905 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.905 * [backup-simplify]: Simplify 0 into 0
0.905 * [backup-simplify]: Simplify 1 into 1
0.905 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.905 * [backup-simplify]: Simplify lambda2 into lambda2
0.905 * [backup-simplify]: Simplify (- lambda2) into (- lambda2)
0.905 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2)
0.906 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2))
0.906 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2))
0.908 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2))
0.909 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0
0.909 * [backup-simplify]: Simplify (- 0) into 0
0.909 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2))
0.909 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.909 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.909 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.909 * [backup-simplify]: Simplify 0 into 0
0.909 * [backup-simplify]: Simplify 1 into 1
0.910 * [backup-simplify]: Simplify (- 0) into 0
0.910 * [backup-simplify]: Simplify (- 1) into -1
0.910 * [backup-simplify]: Simplify 1 into 1
0.912 * [backup-simplify]: Simplify (+ 0) into 0
0.912 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0
0.913 * [backup-simplify]: Simplify (- 0) into 0
0.914 * [backup-simplify]: Simplify (+ 1 0) into 1
0.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
0.915 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2))
0.915 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2)))
0.915 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2)))
0.915 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
0.915 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
0.915 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.915 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.915 * [backup-simplify]: Simplify 0 into 0
0.915 * [backup-simplify]: Simplify 1 into 1
0.916 * [backup-simplify]: Simplify (- 0) into 0
0.916 * [backup-simplify]: Simplify (- 1) into -1
0.916 * [backup-simplify]: Simplify (- 0) into 0
0.916 * [backup-simplify]: Simplify 0 into 0
0.917 * [backup-simplify]: Simplify (+ 0) into 0
0.917 * [backup-simplify]: Simplify 0 into 0
0.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2
0.919 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2))))
0.920 * [backup-simplify]: Simplify (- 0) into 0
0.920 * [backup-simplify]: Simplify (+ 0 0) into 0
0.921 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
0.922 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0
0.922 * [backup-simplify]: Simplify (- 0) into 0
0.922 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2))))
0.922 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
0.922 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
0.922 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.922 * [backup-simplify]: Simplify 1/2 into 1/2
0.922 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.922 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.922 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.922 * [backup-simplify]: Simplify 0 into 0
0.923 * [backup-simplify]: Simplify 1 into 1
0.923 * [backup-simplify]: Simplify (- 0) into 0
0.923 * [backup-simplify]: Simplify (- 1) into -1
0.924 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
0.924 * [backup-simplify]: Simplify (- 1/2) into -1/2
0.924 * [backup-simplify]: Simplify -1/2 into -1/2
0.925 * [backup-simplify]: Simplify (- 1) into -1
0.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1
0.926 * [backup-simplify]: Simplify (- -1) into 1
0.926 * [backup-simplify]: Simplify 1 into 1
0.927 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
0.927 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.927 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
0.927 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.927 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.927 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.927 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.927 * [backup-simplify]: Simplify lambda1 into lambda1
0.928 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.928 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.928 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.928 * [backup-simplify]: Simplify 0 into 0
0.928 * [backup-simplify]: Simplify 1 into 1
0.928 * [backup-simplify]: Simplify (/ 1 1) into 1
0.929 * [backup-simplify]: Simplify (- 1) into -1
0.929 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.930 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.930 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.930 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.930 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.930 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.930 * [backup-simplify]: Simplify 0 into 0
0.930 * [backup-simplify]: Simplify 1 into 1
0.930 * [backup-simplify]: Simplify (/ 1 1) into 1
0.930 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.930 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.930 * [backup-simplify]: Simplify lambda2 into lambda2
0.930 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.931 * [backup-simplify]: Simplify (+ 1 0) into 1
0.931 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.931 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.931 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.931 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.931 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.931 * [backup-simplify]: Simplify 0 into 0
0.931 * [backup-simplify]: Simplify 1 into 1
0.932 * [backup-simplify]: Simplify (/ 1 1) into 1
0.932 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.932 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.932 * [backup-simplify]: Simplify lambda2 into lambda2
0.932 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.932 * [backup-simplify]: Simplify (+ 1 0) into 1
0.932 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.932 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.932 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.932 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.932 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.933 * [backup-simplify]: Simplify lambda1 into lambda1
0.933 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.933 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.933 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.933 * [backup-simplify]: Simplify 0 into 0
0.933 * [backup-simplify]: Simplify 1 into 1
0.933 * [backup-simplify]: Simplify (/ 1 1) into 1
0.933 * [backup-simplify]: Simplify (- 1) into -1
0.934 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.934 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.934 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2)))
0.934 * [taylor]: Taking taylor expansion of 0 in lambda2
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [backup-simplify]: Simplify 0 into 0
0.934 * [taylor]: Taking taylor expansion of 0 in lambda2
0.934 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [taylor]: Taking taylor expansion of 0 in lambda2
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2))
0.935 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.935 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
0.935 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.935 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.935 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.935 * [backup-simplify]: Simplify 0 into 0
0.935 * [backup-simplify]: Simplify 1 into 1
0.936 * [backup-simplify]: Simplify (/ 1 1) into 1
0.936 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.936 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.936 * [backup-simplify]: Simplify lambda1 into lambda1
0.936 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.936 * [backup-simplify]: Simplify (+ 1 0) into 1
0.937 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.937 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.937 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.937 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.937 * [backup-simplify]: Simplify lambda2 into lambda2
0.937 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.937 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.937 * [backup-simplify]: Simplify 0 into 0
0.937 * [backup-simplify]: Simplify 1 into 1
0.937 * [backup-simplify]: Simplify (/ 1 1) into 1
0.938 * [backup-simplify]: Simplify (- 1) into -1
0.938 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.938 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.938 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.938 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.938 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.938 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.938 * [backup-simplify]: Simplify lambda2 into lambda2
0.938 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
0.939 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.939 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.939 * [backup-simplify]: Simplify 0 into 0
0.939 * [backup-simplify]: Simplify 1 into 1
0.939 * [backup-simplify]: Simplify (/ 1 1) into 1
0.939 * [backup-simplify]: Simplify (- 1) into -1
0.940 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.940 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.940 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.940 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.940 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.940 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.940 * [backup-simplify]: Simplify 0 into 0
0.940 * [backup-simplify]: Simplify 1 into 1
0.941 * [backup-simplify]: Simplify (/ 1 1) into 1
0.941 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.941 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.941 * [backup-simplify]: Simplify lambda1 into lambda1
0.941 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
0.941 * [backup-simplify]: Simplify (+ 1 0) into 1
0.941 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.942 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1)))
0.942 * [taylor]: Taking taylor expansion of 0 in lambda2
0.942 * [backup-simplify]: Simplify 0 into 0
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 lambda2
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 0 into 0
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 lambda2
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify 0 into 0
0.942 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2))
0.942 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.943 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.943 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
0.943 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.945 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.945 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.945 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.946 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.946 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.946 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.946 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.946 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.947 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.947 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.947 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.947 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.948 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.948 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.948 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.949 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.949 * [taylor]: Taking taylor expansion of 0 in phi2
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [taylor]: Taking taylor expansion of 0 in lambda1
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [taylor]: Taking taylor expansion of 0 in lambda2
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [taylor]: Taking taylor expansion of 0 in lambda1
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [taylor]: Taking taylor expansion of 0 in lambda2
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [backup-simplify]: Simplify 0 into 0
0.949 * [taylor]: Taking taylor expansion of 0 in lambda2
0.949 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [taylor]: Taking taylor expansion of 0 in phi2
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [taylor]: Taking taylor expansion of 0 in lambda1
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [taylor]: Taking taylor expansion of 0 in lambda2
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [taylor]: Taking taylor expansion of 0 in lambda1
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [taylor]: Taking taylor expansion of 0 in lambda2
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify 0 into 0
0.950 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.951 * [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 lambda1) (/ 1 lambda2)))))))
0.951 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
0.951 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.952 * [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 lambda1) (/ 1 lambda2)))))))
0.952 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.952 * [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 lambda1) (/ 1 lambda2)))))))
0.952 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
0.953 * [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 lambda1) (/ 1 lambda2)))))))
0.953 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
0.954 * [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 lambda1) (/ 1 lambda2)))))))
0.954 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
0.954 * [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 lambda1) (/ 1 lambda2)))))))
0.954 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
0.955 * [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 lambda1) (/ 1 lambda2)))))))
0.955 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.956 * [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 lambda1) (/ 1 lambda2)))))))
0.956 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.956 * [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 lambda1) (/ 1 lambda2)))))))
0.957 * [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 lambda1) (/ 1 lambda2)))))))
0.957 * [taylor]: Taking taylor expansion of 0 in phi2
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [taylor]: Taking taylor expansion of 0 in lambda1
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [taylor]: Taking taylor expansion of 0 in lambda2
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [taylor]: Taking taylor expansion of 0 in lambda1
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [taylor]: Taking taylor expansion of 0 in lambda2
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [backup-simplify]: Simplify 0 into 0
0.957 * [taylor]: Taking taylor expansion of 0 in lambda2
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in phi2
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in lambda1
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in lambda2
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in lambda1
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [taylor]: Taking taylor expansion of 0 in lambda2
0.958 * [backup-simplify]: Simplify 0 into 0
0.958 * [backup-simplify]: Simplify 0 into 0
0.959 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.960 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.960 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
0.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
0.960 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
0.961 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
0.961 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
0.962 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
0.963 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
0.963 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
0.964 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
0.965 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.965 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
0.966 * [taylor]: Taking taylor expansion of 0 in phi2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda1
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda1
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in phi2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda1
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda1
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [taylor]: Taking taylor expansion of 0 in lambda2
0.966 * [backup-simplify]: Simplify 0 into 0
0.966 * [backup-simplify]: Simplify 0 into 0
0.967 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.977 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.977 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
0.977 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.977 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
0.978 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.978 * [taylor]: Taking taylor expansion of R in R
0.978 * [backup-simplify]: Simplify 0 into 0
0.978 * [backup-simplify]: Simplify 1 into 1
0.978 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
0.978 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.978 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.978 * [taylor]: Taking taylor expansion of R in lambda2
0.978 * [backup-simplify]: Simplify R into R
0.978 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
0.979 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.979 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.979 * [taylor]: Taking taylor expansion of R in lambda1
0.979 * [backup-simplify]: Simplify R into R
0.979 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
0.979 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.979 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.980 * [taylor]: Taking taylor expansion of R in phi2
0.980 * [backup-simplify]: Simplify R into R
0.980 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
0.980 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.980 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.980 * [taylor]: Taking taylor expansion of R in phi1
0.980 * [backup-simplify]: Simplify R into R
0.980 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
0.980 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.981 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.981 * [taylor]: Taking taylor expansion of R in phi1
0.981 * [backup-simplify]: Simplify R into R
0.981 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
0.981 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
0.981 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.982 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.982 * [taylor]: Taking taylor expansion of R in phi2
0.982 * [backup-simplify]: Simplify R into R
0.982 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
0.982 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
0.982 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.983 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.983 * [taylor]: Taking taylor expansion of R in lambda1
0.983 * [backup-simplify]: Simplify R into R
0.983 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
0.983 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.984 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.984 * [taylor]: Taking taylor expansion of R in lambda2
0.984 * [backup-simplify]: Simplify R into R
0.984 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
0.984 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
0.985 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.985 * [taylor]: Taking taylor expansion of R in R
0.985 * [backup-simplify]: Simplify 0 into 0
0.985 * [backup-simplify]: Simplify 1 into 1
0.985 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) into 0
0.985 * [backup-simplify]: Simplify 0 into 0
0.986 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0
0.986 * [taylor]: Taking taylor expansion of 0 in phi2
0.986 * [backup-simplify]: Simplify 0 into 0
0.986 * [taylor]: Taking taylor expansion of 0 in lambda1
0.986 * [backup-simplify]: Simplify 0 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 into 0
0.986 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0
0.986 * [taylor]: Taking taylor expansion of 0 in lambda1
0.986 * [backup-simplify]: Simplify 0 into 0
0.987 * [taylor]: Taking taylor expansion of 0 in lambda2
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [taylor]: Taking taylor expansion of 0 in R
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0
0.987 * [taylor]: Taking taylor expansion of 0 in lambda2
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [taylor]: Taking taylor expansion of 0 in R
0.987 * [backup-simplify]: Simplify 0 into 0
0.987 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (* 0 R)) into 0
0.988 * [taylor]: Taking taylor expansion of 0 in R
0.988 * [backup-simplify]: Simplify 0 into 0
0.988 * [backup-simplify]: Simplify 0 into 0
0.989 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 1) (* 0 0)) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.989 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) into (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
0.991 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0
0.991 * [taylor]: Taking taylor expansion of 0 in phi2
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [taylor]: Taking taylor expansion of 0 in lambda1
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [taylor]: Taking taylor expansion of 0 in lambda2
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [taylor]: Taking taylor expansion of 0 in R
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [taylor]: Taking taylor expansion of 0 in lambda1
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [taylor]: Taking taylor expansion of 0 in lambda2
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [taylor]: Taking taylor expansion of 0 in R
0.991 * [backup-simplify]: Simplify 0 into 0
0.991 * [backup-simplify]: Simplify 0 into 0
0.992 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 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 * [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 into 0
0.992 * [taylor]: Taking taylor expansion of 0 in lambda2
0.992 * [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 * [backup-simplify]: Simplify 0 into 0
0.993 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0
0.993 * [taylor]: Taking taylor expansion of 0 in lambda2
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 into 0
0.995 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
0.995 * [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 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
0.995 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.996 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
0.996 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
0.996 * [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 lambda1) (/ 1 lambda2)))))))
0.996 * [taylor]: Taking taylor expansion of R in R
0.996 * [backup-simplify]: Simplify 0 into 0
0.996 * [backup-simplify]: Simplify 1 into 1
0.997 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 1) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))))
0.997 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
0.997 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.998 * [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 lambda1) (/ 1 lambda2)))))))
0.998 * [taylor]: Taking taylor expansion of R in lambda2
0.998 * [backup-simplify]: Simplify R into R
0.998 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
0.998 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
0.998 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.999 * [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 lambda1) (/ 1 lambda2)))))))
0.999 * [taylor]: Taking taylor expansion of R in lambda1
0.999 * [backup-simplify]: Simplify R into R
1.000 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.000 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
1.000 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
1.001 * [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 lambda1) (/ 1 lambda2)))))))
1.001 * [taylor]: Taking taylor expansion of R in phi2
1.001 * [backup-simplify]: Simplify R into R
1.001 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.002 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
1.002 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
1.002 * [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 lambda1) (/ 1 lambda2)))))))
1.002 * [taylor]: Taking taylor expansion of R in phi1
1.002 * [backup-simplify]: Simplify R into R
1.003 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.003 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
1.003 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
1.003 * [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 lambda1) (/ 1 lambda2)))))))
1.004 * [taylor]: Taking taylor expansion of R in phi1
1.004 * [backup-simplify]: Simplify R into R
1.004 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.004 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
1.004 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
1.005 * [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 lambda1) (/ 1 lambda2)))))))
1.005 * [taylor]: Taking taylor expansion of R in phi2
1.005 * [backup-simplify]: Simplify R into R
1.006 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.006 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
1.006 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
1.006 * [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 lambda1) (/ 1 lambda2)))))))
1.006 * [taylor]: Taking taylor expansion of R in lambda1
1.006 * [backup-simplify]: Simplify R into R
1.007 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.007 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
1.007 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
1.008 * [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 lambda1) (/ 1 lambda2)))))))
1.008 * [taylor]: Taking taylor expansion of R in lambda2
1.008 * [backup-simplify]: Simplify R into R
1.008 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) into (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R)
1.008 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
1.009 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
1.009 * [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 lambda1) (/ 1 lambda2)))))))
1.009 * [taylor]: Taking taylor expansion of R in R
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify 1 into 1
1.010 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) 1) into (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))))
1.010 * [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 lambda1) (/ 1 lambda2)))))))
1.012 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0
1.012 * [taylor]: Taking taylor expansion of 0 in phi2
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [taylor]: Taking taylor expansion of 0 in lambda1
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [taylor]: Taking taylor expansion of 0 in lambda2
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [taylor]: Taking taylor expansion of 0 in R
1.012 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0
1.013 * [taylor]: Taking taylor expansion of 0 in lambda1
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [taylor]: Taking taylor expansion of 0 in lambda2
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [taylor]: Taking taylor expansion of 0 in R
1.013 * [backup-simplify]: Simplify 0 into 0
1.014 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0
1.014 * [taylor]: Taking taylor expansion of 0 in lambda2
1.014 * [backup-simplify]: Simplify 0 into 0
1.014 * [taylor]: Taking taylor expansion of 0 in R
1.014 * [backup-simplify]: Simplify 0 into 0
1.015 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)))) into 0
1.015 * [taylor]: Taking taylor expansion of 0 in R
1.015 * [backup-simplify]: Simplify 0 into 0
1.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) (/ 0 1)))) into 0
1.017 * [backup-simplify]: Simplify 0 into 0
1.018 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.018 * [taylor]: Taking taylor expansion of 0 in phi2
1.018 * [backup-simplify]: Simplify 0 into 0
1.018 * [taylor]: Taking taylor expansion of 0 in lambda1
1.018 * [backup-simplify]: Simplify 0 into 0
1.018 * [taylor]: Taking taylor expansion of 0 in lambda2
1.018 * [backup-simplify]: Simplify 0 into 0
1.018 * [taylor]: Taking taylor expansion of 0 in R
1.018 * [backup-simplify]: Simplify 0 into 0
1.018 * [taylor]: Taking taylor expansion of 0 in lambda1
1.018 * [backup-simplify]: Simplify 0 into 0
1.018 * [taylor]: Taking taylor expansion of 0 in lambda2
1.018 * [backup-simplify]: Simplify 0 into 0
1.018 * [taylor]: Taking taylor expansion of 0 in R
1.018 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.019 * [taylor]: Taking taylor expansion of 0 in lambda1
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [taylor]: Taking taylor expansion of 0 in lambda2
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [taylor]: Taking taylor expansion of 0 in R
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [taylor]: Taking taylor expansion of 0 in lambda2
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [taylor]: Taking taylor expansion of 0 in R
1.020 * [backup-simplify]: Simplify 0 into 0
1.020 * [taylor]: Taking taylor expansion of 0 in lambda2
1.020 * [backup-simplify]: Simplify 0 into 0
1.020 * [taylor]: Taking taylor expansion of 0 in R
1.020 * [backup-simplify]: Simplify 0 into 0
1.021 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.021 * [taylor]: Taking taylor expansion of 0 in lambda2
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [taylor]: Taking taylor expansion of 0 in R
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [taylor]: Taking taylor expansion of 0 in R
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [taylor]: Taking taylor expansion of 0 in R
1.021 * [backup-simplify]: Simplify 0 into 0
1.021 * [taylor]: Taking taylor expansion of 0 in R
1.021 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.022 * [taylor]: Taking taylor expansion of 0 in R
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.024 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (cos (/ 1 (/ 1 phi1))) (* (cos (/ 1 (/ 1 phi2))) (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
1.027 * [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 (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))
1.027 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
1.027 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
1.027 * [taylor]: Taking taylor expansion of -1 in R
1.027 * [backup-simplify]: Simplify -1 into -1
1.027 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
1.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
1.027 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.027 * [taylor]: Taking taylor expansion of R in R
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 1 into 1
1.028 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.028 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
1.028 * [taylor]: Taking taylor expansion of -1 in lambda2
1.028 * [backup-simplify]: Simplify -1 into -1
1.028 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
1.029 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.029 * [taylor]: Taking taylor expansion of R in lambda2
1.029 * [backup-simplify]: Simplify R into R
1.030 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.030 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
1.030 * [taylor]: Taking taylor expansion of -1 in lambda1
1.030 * [backup-simplify]: Simplify -1 into -1
1.030 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
1.030 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
1.030 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.030 * [taylor]: Taking taylor expansion of R in lambda1
1.030 * [backup-simplify]: Simplify R into R
1.031 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.031 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
1.031 * [taylor]: Taking taylor expansion of -1 in phi2
1.031 * [backup-simplify]: Simplify -1 into -1
1.031 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
1.031 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
1.032 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.032 * [taylor]: Taking taylor expansion of R in phi2
1.032 * [backup-simplify]: Simplify R into R
1.033 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.033 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
1.033 * [taylor]: Taking taylor expansion of -1 in phi1
1.033 * [backup-simplify]: Simplify -1 into -1
1.033 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
1.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
1.033 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.033 * [taylor]: Taking taylor expansion of R in phi1
1.033 * [backup-simplify]: Simplify R into R
1.034 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.034 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
1.034 * [taylor]: Taking taylor expansion of -1 in phi1
1.034 * [backup-simplify]: Simplify -1 into -1
1.034 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
1.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
1.035 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.035 * [taylor]: Taking taylor expansion of R in phi1
1.035 * [backup-simplify]: Simplify R into R
1.036 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.036 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))
1.036 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
1.037 * [taylor]: Taking taylor expansion of -1 in phi2
1.037 * [backup-simplify]: Simplify -1 into -1
1.037 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
1.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
1.037 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.037 * [taylor]: Taking taylor expansion of R in phi2
1.037 * [backup-simplify]: Simplify R into R
1.038 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.039 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))
1.039 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
1.039 * [taylor]: Taking taylor expansion of -1 in lambda1
1.039 * [backup-simplify]: Simplify -1 into -1
1.039 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
1.039 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
1.039 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.039 * [taylor]: Taking taylor expansion of R in lambda1
1.040 * [backup-simplify]: Simplify R into R
1.040 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.041 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))
1.041 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
1.041 * [taylor]: Taking taylor expansion of -1 in lambda2
1.041 * [backup-simplify]: Simplify -1 into -1
1.041 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
1.041 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
1.042 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.042 * [taylor]: Taking taylor expansion of R in lambda2
1.042 * [backup-simplify]: Simplify R into R
1.042 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)
1.043 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))
1.043 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
1.043 * [taylor]: Taking taylor expansion of -1 in R
1.043 * [backup-simplify]: Simplify -1 into -1
1.043 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
1.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
1.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.044 * [taylor]: Taking taylor expansion of R in R
1.044 * [backup-simplify]: Simplify 0 into 0
1.044 * [backup-simplify]: Simplify 1 into 1
1.045 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))
1.045 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
1.046 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
1.047 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0
1.048 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0
1.048 * [taylor]: Taking taylor expansion of 0 in phi2
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [taylor]: Taking taylor expansion of 0 in lambda1
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [taylor]: Taking taylor expansion of 0 in lambda2
1.048 * [backup-simplify]: Simplify 0 into 0
1.048 * [taylor]: Taking taylor expansion of 0 in R
1.048 * [backup-simplify]: Simplify 0 into 0
1.049 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0
1.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0
1.051 * [taylor]: Taking taylor expansion of 0 in lambda1
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [taylor]: Taking taylor expansion of 0 in lambda2
1.051 * [backup-simplify]: Simplify 0 into 0
1.051 * [taylor]: Taking taylor expansion of 0 in R
1.051 * [backup-simplify]: Simplify 0 into 0
1.052 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0
1.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0
1.053 * [taylor]: Taking taylor expansion of 0 in lambda2
1.053 * [backup-simplify]: Simplify 0 into 0
1.053 * [taylor]: Taking taylor expansion of 0 in R
1.053 * [backup-simplify]: Simplify 0 into 0
1.054 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)))) into 0
1.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R))) into 0
1.055 * [taylor]: Taking taylor expansion of 0 in R
1.055 * [backup-simplify]: Simplify 0 into 0
1.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ 0 1)))) into 0
1.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into 0
1.057 * [backup-simplify]: Simplify 0 into 0
1.058 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0
1.060 * [taylor]: Taking taylor expansion of 0 in phi2
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [taylor]: Taking taylor expansion of 0 in lambda1
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [taylor]: Taking taylor expansion of 0 in lambda2
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [taylor]: Taking taylor expansion of 0 in R
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [taylor]: Taking taylor expansion of 0 in lambda1
1.060 * [backup-simplify]: Simplify 0 into 0
1.060 * [taylor]: Taking taylor expansion of 0 in lambda2
1.060 * [backup-simplify]: Simplify 0 into 0
1.061 * [taylor]: Taking taylor expansion of 0 in R
1.061 * [backup-simplify]: Simplify 0 into 0
1.061 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0
1.063 * [taylor]: Taking taylor expansion of 0 in lambda1
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in lambda2
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in R
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in lambda2
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in R
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in lambda2
1.063 * [backup-simplify]: Simplify 0 into 0
1.063 * [taylor]: Taking taylor expansion of 0 in R
1.063 * [backup-simplify]: Simplify 0 into 0
1.064 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0
1.066 * [taylor]: Taking taylor expansion of 0 in lambda2
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [taylor]: Taking taylor expansion of 0 in R
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [taylor]: Taking taylor expansion of 0 in R
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [taylor]: Taking taylor expansion of 0 in R
1.066 * [backup-simplify]: Simplify 0 into 0
1.066 * [taylor]: Taking taylor expansion of 0 in R
1.066 * [backup-simplify]: Simplify 0 into 0
1.067 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
1.068 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)))) into 0
1.069 * [taylor]: Taking taylor expansion of 0 in R
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.069 * [backup-simplify]: Simplify 0 into 0
1.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.072 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0
1.072 * [backup-simplify]: Simplify 0 into 0
1.074 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
1.074 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
1.074 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
1.074 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
1.074 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
1.074 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
1.074 * [taylor]: Taking taylor expansion of phi1 in phi2
1.074 * [backup-simplify]: Simplify phi1 into phi1
1.074 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
1.074 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
1.074 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.074 * [taylor]: Taking taylor expansion of phi2 in phi2
1.074 * [backup-simplify]: Simplify 0 into 0
1.074 * [backup-simplify]: Simplify 1 into 1
1.074 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.074 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.074 * [taylor]: Taking taylor expansion of phi1 in phi1
1.074 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 1 into 1
1.075 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.075 * [taylor]: Taking taylor expansion of phi2 in phi1
1.075 * [backup-simplify]: Simplify phi2 into phi2
1.075 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.075 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.075 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
1.075 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
1.075 * [taylor]: Taking taylor expansion of phi1 in phi1
1.075 * [backup-simplify]: Simplify 0 into 0
1.075 * [backup-simplify]: Simplify 1 into 1
1.075 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
1.075 * [taylor]: Taking taylor expansion of phi2 in phi1
1.075 * [backup-simplify]: Simplify phi2 into phi2
1.075 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
1.075 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
1.075 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
1.076 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
1.076 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
1.076 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
1.076 * [taylor]: Taking taylor expansion of 0 in phi2
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify 0 into 0
1.076 * [backup-simplify]: Simplify (+ 0) into 0
1.077 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
1.078 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.078 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
1.078 * [backup-simplify]: Simplify (+ 0 0) into 0
1.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
1.080 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.080 * [taylor]: Taking taylor expansion of phi2 in phi2
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [backup-simplify]: Simplify 1 into 1
1.080 * [backup-simplify]: Simplify 0 into 0
1.080 * [backup-simplify]: Simplify 0 into 0
1.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.081 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
1.082 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.083 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
1.083 * [backup-simplify]: Simplify (+ 0 0) into 0
1.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
1.085 * [taylor]: Taking taylor expansion of 0 in phi2
1.085 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify 0 into 0
1.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
1.085 * [backup-simplify]: Simplify 1 into 1
1.086 * [backup-simplify]: Simplify 0 into 0
1.087 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.088 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.089 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.090 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.090 * [backup-simplify]: Simplify (+ 0 0) into 0
1.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
1.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
1.093 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
1.093 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
1.093 * [taylor]: Taking taylor expansion of 1/6 in phi2
1.093 * [backup-simplify]: Simplify 1/6 into 1/6
1.093 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
1.093 * [taylor]: Taking taylor expansion of phi2 in phi2
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 1 into 1
1.094 * [backup-simplify]: Simplify (* 1/6 0) into 0
1.094 * [backup-simplify]: Simplify (- 0) into 0
1.094 * [backup-simplify]: Simplify 0 into 0
1.094 * [backup-simplify]: Simplify 0 into 0
1.095 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.095 * [backup-simplify]: Simplify 0 into 0
1.095 * [backup-simplify]: Simplify 0 into 0
1.098 * [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
1.099 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.100 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.101 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.101 * [backup-simplify]: Simplify (+ 0 0) into 0
1.103 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
1.104 * [taylor]: Taking taylor expansion of 0 in phi2
1.104 * [backup-simplify]: Simplify 0 into 0
1.104 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1)
1.105 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
1.105 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
1.105 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.105 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.105 * [taylor]: Taking taylor expansion of phi1 in phi2
1.105 * [backup-simplify]: Simplify phi1 into phi1
1.105 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.105 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.105 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.105 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.105 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.105 * [taylor]: Taking taylor expansion of phi2 in phi2
1.105 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify 1 into 1
1.106 * [backup-simplify]: Simplify (/ 1 1) into 1
1.106 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.106 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
1.106 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.106 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.106 * [taylor]: Taking taylor expansion of phi1 in phi1
1.106 * [backup-simplify]: Simplify 0 into 0
1.106 * [backup-simplify]: Simplify 1 into 1
1.106 * [backup-simplify]: Simplify (/ 1 1) into 1
1.107 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.107 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.107 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.107 * [taylor]: Taking taylor expansion of phi2 in phi1
1.107 * [backup-simplify]: Simplify phi2 into phi2
1.107 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.107 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.107 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.107 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
1.107 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
1.107 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
1.107 * [taylor]: Taking taylor expansion of phi1 in phi1
1.107 * [backup-simplify]: Simplify 0 into 0
1.107 * [backup-simplify]: Simplify 1 into 1
1.107 * [backup-simplify]: Simplify (/ 1 1) into 1
1.108 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.108 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
1.108 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
1.108 * [taylor]: Taking taylor expansion of phi2 in phi1
1.108 * [backup-simplify]: Simplify phi2 into phi2
1.108 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
1.108 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.108 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
1.108 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
1.108 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
1.108 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
1.109 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
1.109 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
1.109 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
1.109 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
1.109 * [taylor]: Taking taylor expansion of phi1 in phi2
1.109 * [backup-simplify]: Simplify phi1 into phi1
1.109 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
1.109 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
1.109 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
1.109 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
1.109 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
1.109 * [taylor]: Taking taylor expansion of phi2 in phi2
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 1 into 1
1.110 * [backup-simplify]: Simplify (/ 1 1) into 1
1.110 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
1.110 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
1.110 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
1.110 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
1.110 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
1.111 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
1.111 * [backup-simplify]: Simplify (+ 0) into 0
1.111 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
1.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.113 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
1.113 * [backup-simplify]: Simplify (+ 0 0) into 0
1.114 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
1.114 * [taylor]: Taking taylor expansion of 0 in phi2
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify (+ 0) into 0
1.115 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
1.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.116 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
1.116 * [backup-simplify]: Simplify (+ 0 0) into 0
1.117 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
1.117 * [backup-simplify]: Simplify 0 into 0
1.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.118 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.120 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.120 * [backup-simplify]: Simplify (+ 0 0) into 0
1.121 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
1.121 * [taylor]: Taking taylor expansion of 0 in phi2
1.121 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.123 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.124 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.125 * [backup-simplify]: Simplify (+ 0 0) into 0
1.125 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
1.125 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.127 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.130 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.130 * [backup-simplify]: Simplify (+ 0 0) into 0
1.131 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0
1.131 * [taylor]: Taking taylor expansion of 0 in phi2
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2))
1.131 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.131 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
1.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.131 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.131 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.131 * [taylor]: Taking taylor expansion of -1 in phi2
1.132 * [backup-simplify]: Simplify -1 into -1
1.132 * [taylor]: Taking taylor expansion of phi1 in phi2
1.132 * [backup-simplify]: Simplify phi1 into phi1
1.132 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.132 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.132 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.132 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.132 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.132 * [taylor]: Taking taylor expansion of -1 in phi2
1.132 * [backup-simplify]: Simplify -1 into -1
1.132 * [taylor]: Taking taylor expansion of phi2 in phi2
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 1 into 1
1.132 * [backup-simplify]: Simplify (/ -1 1) into -1
1.133 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.133 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.133 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.133 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.133 * [taylor]: Taking taylor expansion of -1 in phi1
1.133 * [backup-simplify]: Simplify -1 into -1
1.133 * [taylor]: Taking taylor expansion of phi1 in phi1
1.133 * [backup-simplify]: Simplify 0 into 0
1.133 * [backup-simplify]: Simplify 1 into 1
1.133 * [backup-simplify]: Simplify (/ -1 1) into -1
1.133 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.133 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.133 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.133 * [taylor]: Taking taylor expansion of -1 in phi1
1.133 * [backup-simplify]: Simplify -1 into -1
1.133 * [taylor]: Taking taylor expansion of phi2 in phi1
1.133 * [backup-simplify]: Simplify phi2 into phi2
1.134 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.134 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.134 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.134 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
1.134 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
1.134 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
1.134 * [taylor]: Taking taylor expansion of -1 in phi1
1.134 * [backup-simplify]: Simplify -1 into -1
1.134 * [taylor]: Taking taylor expansion of phi1 in phi1
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 1 into 1
1.134 * [backup-simplify]: Simplify (/ -1 1) into -1
1.135 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.135 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
1.135 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
1.135 * [taylor]: Taking taylor expansion of -1 in phi1
1.135 * [backup-simplify]: Simplify -1 into -1
1.135 * [taylor]: Taking taylor expansion of phi2 in phi1
1.135 * [backup-simplify]: Simplify phi2 into phi2
1.135 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
1.135 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.135 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
1.135 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
1.135 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
1.135 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
1.136 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.136 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
1.136 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
1.136 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
1.136 * [taylor]: Taking taylor expansion of -1 in phi2
1.136 * [backup-simplify]: Simplify -1 into -1
1.136 * [taylor]: Taking taylor expansion of phi1 in phi2
1.136 * [backup-simplify]: Simplify phi1 into phi1
1.136 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
1.136 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
1.136 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
1.136 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
1.136 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
1.136 * [taylor]: Taking taylor expansion of -1 in phi2
1.136 * [backup-simplify]: Simplify -1 into -1
1.136 * [taylor]: Taking taylor expansion of phi2 in phi2
1.136 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify 1 into 1
1.137 * [backup-simplify]: Simplify (/ -1 1) into -1
1.137 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
1.137 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
1.137 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
1.137 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
1.137 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.137 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
1.138 * [backup-simplify]: Simplify (+ 0) into 0
1.138 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
1.139 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
1.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
1.140 * [backup-simplify]: Simplify (+ 0 0) into 0
1.140 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.140 * [taylor]: Taking taylor expansion of 0 in phi2
1.140 * [backup-simplify]: Simplify 0 into 0
1.141 * [backup-simplify]: Simplify 0 into 0
1.141 * [backup-simplify]: Simplify (+ 0) into 0
1.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
1.142 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
1.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.143 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
1.143 * [backup-simplify]: Simplify (+ 0 0) into 0
1.144 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
1.144 * [backup-simplify]: Simplify 0 into 0
1.145 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.145 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
1.146 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.147 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.153 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
1.153 * [backup-simplify]: Simplify (+ 0 0) into 0
1.154 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.154 * [taylor]: Taking taylor expansion of 0 in phi2
1.154 * [backup-simplify]: Simplify 0 into 0
1.154 * [backup-simplify]: Simplify 0 into 0
1.154 * [backup-simplify]: Simplify 0 into 0
1.155 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
1.156 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
1.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.158 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
1.158 * [backup-simplify]: Simplify (+ 0 0) into 0
1.159 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
1.159 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.161 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.161 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
1.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.163 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.164 * [backup-simplify]: Simplify (+ 0 0) into 0
1.165 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
1.165 * [taylor]: Taking taylor expansion of 0 in phi2
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
1.165 * * * [progress]: simplifying candidates
1.167 * [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 (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
1.168 * [simplify]: Sending expressions to egg_math:
 (* (cos h1) (cos (- h0)))
 (* (sin h1) (sin (- h0)))
 (* (cos h1) (cos (- h0)))
 (* (sin h1) (sin (- h0)))
 (* (cos h1) (cos h0))
 (* (sin h1) (sin h0))
 (log (cos (- h1 h0)))
 (exp (cos (- h1 h0)))
 (* (cbrt (cos (- h1 h0))) (cbrt (cos (- h1 h0))))
 (cbrt (cos (- h1 h0)))
 (* (* (cos (- h1 h0)) (cos (- h1 h0))) (cos (- h1 h0)))
 (sqrt (cos (- h1 h0)))
 (sqrt (cos (- h1 h0)))
 (/ h2 2)
 (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))
 (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))
 (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))
 (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))))
 (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))
 (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)
 (+ (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (log h5))
 (log (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))
 (exp (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))
 (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (* (* h5 h5) h5))
 (* (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)))
 (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))
 (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))
 (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))
 (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5))
 (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (sqrt h5))
 (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) (sqrt h5))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (* (cbrt h5) (cbrt h5)))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) (sqrt h5))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) 1)
 (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) h5)
 (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0)))))) h5)
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (cos (- h1 h0))))) h5)
 (- (cos (- h4 h3)) (cos (+ h4 h3)))
 (* (sin h4) (sin h3))
 (+ (log (sin h4)) (log (sin h3)))
 (log (* (sin h4) (sin h3)))
 (exp (* (sin h4) (sin h3)))
 (* (* (* (sin h4) (sin h4)) (sin h4)) (* (* (sin h3) (sin h3)) (sin h3)))
 (* (cbrt (* (sin h4) (sin h3))) (cbrt (* (sin h4) (sin h3))))
 (cbrt (* (sin h4) (sin h3)))
 (* (* (* (sin h4) (sin h3)) (* (sin h4) (sin h3))) (* (sin h4) (sin h3)))
 (sqrt (* (sin h4) (sin h3)))
 (sqrt (* (sin h4) (sin h3)))
 (* (sqrt (sin h4)) (sqrt (sin h3)))
 (* (sqrt (sin h4)) (sqrt (sin h3)))
 (* (sin h4) (* (cbrt (sin h3)) (cbrt (sin h3))))
 (* (sin h4) (sqrt (sin h3)))
 (* (sin h4) 1)
 (* (cbrt (sin h4)) (sin h3))
 (* (sqrt (sin h4)) (sin h3))
 (* (sin h4) (sin h3))
 (- (+ 1 (* h0 h1)) (* (/ 1 2) (pow h1 2)))
 (cos (- h1 h0))
 (cos (- h1 h0))
 (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3)))))
 (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3)))))
 (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3)))))
 (* (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) h5)
 (* (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) h5)
 (* (acos (+ (* (sin h4) (sin h3)) (* (cos h4) (* (cos (- h1 h0)) (cos h3))))) h5)
 (* h3 h4)
 (* (sin h4) (sin h3))
 (* (sin h4) (sin h3))
1.966 * * * [progress]: adding candidates to table
2.409 * * [progress]: iteration 2 / 4
2.409 * * * [progress]: picking best candidate
2.475 * * * * [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))>
2.475 * * * [progress]: localizing error
2.543 * * * [progress]: generating rewritten candidates
2.543 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
2.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
2.553 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2)
2.574 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
2.602 * * * [progress]: generating series expansions
2.602 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
2.602 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.602 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
2.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
2.603 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.603 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
2.603 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.603 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
2.604 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.604 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
2.604 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.604 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
2.604 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
2.605 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
2.605 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.605 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
2.606 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.606 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.606 * [taylor]: Taking taylor expansion of 0 in phi2
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [taylor]: Taking taylor expansion of 0 in lambda1
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [taylor]: Taking taylor expansion of 0 in lambda2
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [taylor]: Taking taylor expansion of 0 in lambda1
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [taylor]: Taking taylor expansion of 0 in lambda2
2.606 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [taylor]: Taking taylor expansion of 0 in lambda2
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [taylor]: Taking taylor expansion of 0 in phi2
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [taylor]: Taking taylor expansion of 0 in lambda1
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [taylor]: Taking taylor expansion of 0 in lambda2
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [taylor]: Taking taylor expansion of 0 in lambda1
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [taylor]: Taking taylor expansion of 0 in lambda2
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.608 * [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 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.608 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
2.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
2.608 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
2.609 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
2.609 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.609 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
2.610 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.610 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
2.610 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.611 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
2.611 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.611 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
2.612 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
2.612 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.613 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.613 * [taylor]: Taking taylor expansion of 0 in phi2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda1
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda1
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in phi2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda1
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda1
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [taylor]: Taking taylor expansion of 0 in lambda2
2.613 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify 0 into 0
2.619 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.619 * [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)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.619 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
2.619 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
2.620 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.620 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
2.620 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.620 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
2.621 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.621 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
2.622 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
2.622 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
2.623 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
2.623 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
2.624 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.624 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.625 * [taylor]: Taking taylor expansion of 0 in phi2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda1
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda1
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in phi2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda1
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda1
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [taylor]: Taking taylor expansion of 0 in lambda2
2.625 * [backup-simplify]: Simplify 0 into 0
2.625 * [backup-simplify]: Simplify 0 into 0
2.626 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
2.626 * * * * [progress]: [ 2 / 4 ] generating series at (2)
2.626 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.626 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
2.626 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
2.626 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
2.627 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.627 * [taylor]: Taking taylor expansion of R in R
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 1 into 1
2.627 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
2.627 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
2.627 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.627 * [taylor]: Taking taylor expansion of R in lambda2
2.627 * [backup-simplify]: Simplify R into R
2.627 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
2.627 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
2.628 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.628 * [taylor]: Taking taylor expansion of R in lambda1
2.628 * [backup-simplify]: Simplify R into R
2.628 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
2.628 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
2.628 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.628 * [taylor]: Taking taylor expansion of R in phi2
2.628 * [backup-simplify]: Simplify R into R
2.628 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
2.628 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
2.629 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.629 * [taylor]: Taking taylor expansion of R in phi1
2.629 * [backup-simplify]: Simplify R into R
2.629 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
2.629 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
2.629 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.629 * [taylor]: Taking taylor expansion of R in phi1
2.629 * [backup-simplify]: Simplify R into R
2.630 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.630 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
2.630 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
2.630 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.630 * [taylor]: Taking taylor expansion of R in phi2
2.630 * [backup-simplify]: Simplify R into R
2.630 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.630 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
2.630 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
2.631 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.631 * [taylor]: Taking taylor expansion of R in lambda1
2.631 * [backup-simplify]: Simplify R into R
2.631 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.631 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
2.631 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
2.632 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.632 * [taylor]: Taking taylor expansion of R in lambda2
2.632 * [backup-simplify]: Simplify R into R
2.632 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.632 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
2.632 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
2.633 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.633 * [taylor]: Taking taylor expansion of R in R
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.634 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) into 0
2.634 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
2.635 * [taylor]: Taking taylor expansion of 0 in phi2
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [taylor]: Taking taylor expansion of 0 in lambda1
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [taylor]: Taking taylor expansion of 0 in lambda2
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [taylor]: Taking taylor expansion of 0 in R
2.635 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
2.636 * [taylor]: Taking taylor expansion of 0 in lambda1
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [taylor]: Taking taylor expansion of 0 in lambda2
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [taylor]: Taking taylor expansion of 0 in R
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
2.637 * [taylor]: Taking taylor expansion of 0 in lambda2
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [taylor]: Taking taylor expansion of 0 in R
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
2.638 * [taylor]: Taking taylor expansion of 0 in R
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1) (* 0 0)) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.641 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
2.643 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0
2.643 * [taylor]: Taking taylor expansion of 0 in phi2
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in lambda1
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in lambda2
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in R
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in lambda1
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in lambda2
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [taylor]: Taking taylor expansion of 0 in R
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0
2.645 * [taylor]: Taking taylor expansion of 0 in lambda1
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in lambda2
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in R
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in lambda2
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in R
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in lambda2
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in R
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0
2.647 * [taylor]: Taking taylor expansion of 0 in lambda2
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [taylor]: Taking taylor expansion of 0 in R
2.647 * [backup-simplify]: Simplify 0 into 0
2.647 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.649 * [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 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.649 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
2.649 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
2.649 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
2.651 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.651 * [taylor]: Taking taylor expansion of R in R
2.651 * [backup-simplify]: Simplify 0 into 0
2.651 * [backup-simplify]: Simplify 1 into 1
2.652 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.652 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
2.652 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
2.653 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.653 * [taylor]: Taking taylor expansion of R in lambda2
2.653 * [backup-simplify]: Simplify R into R
2.654 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.654 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
2.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
2.655 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.656 * [taylor]: Taking taylor expansion of R in lambda1
2.656 * [backup-simplify]: Simplify R into R
2.657 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.657 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
2.657 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
2.658 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.658 * [taylor]: Taking taylor expansion of R in phi2
2.658 * [backup-simplify]: Simplify R into R
2.659 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.659 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
2.659 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
2.660 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.660 * [taylor]: Taking taylor expansion of R in phi1
2.660 * [backup-simplify]: Simplify R into R
2.662 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.662 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
2.662 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
2.663 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.663 * [taylor]: Taking taylor expansion of R in phi1
2.663 * [backup-simplify]: Simplify R into R
2.664 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.664 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
2.664 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
2.665 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.665 * [taylor]: Taking taylor expansion of R in phi2
2.665 * [backup-simplify]: Simplify R into R
2.666 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.666 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
2.666 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
2.666 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.666 * [taylor]: Taking taylor expansion of R in lambda1
2.666 * [backup-simplify]: Simplify R into R
2.667 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.667 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
2.667 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
2.667 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.667 * [taylor]: Taking taylor expansion of R in lambda2
2.667 * [backup-simplify]: Simplify R into R
2.668 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
2.668 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
2.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
2.669 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.669 * [taylor]: Taking taylor expansion of R in R
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 1 into 1
2.669 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.670 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
2.670 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
2.671 * [taylor]: Taking taylor expansion of 0 in phi2
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in lambda1
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in lambda2
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in R
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
2.671 * [taylor]: Taking taylor expansion of 0 in lambda1
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in lambda2
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in R
2.671 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
2.672 * [taylor]: Taking taylor expansion of 0 in lambda2
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [taylor]: Taking taylor expansion of 0 in R
2.672 * [backup-simplify]: Simplify 0 into 0
2.673 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
2.673 * [taylor]: Taking taylor expansion of 0 in R
2.673 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.675 * [taylor]: Taking taylor expansion of 0 in phi2
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in lambda1
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in lambda2
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in R
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in lambda1
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in lambda2
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in R
2.675 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.676 * [taylor]: Taking taylor expansion of 0 in lambda1
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [taylor]: Taking taylor expansion of 0 in lambda2
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [taylor]: Taking taylor expansion of 0 in R
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [taylor]: Taking taylor expansion of 0 in lambda2
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [taylor]: Taking taylor expansion of 0 in R
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [taylor]: Taking taylor expansion of 0 in lambda2
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [taylor]: Taking taylor expansion of 0 in R
2.676 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.677 * [taylor]: Taking taylor expansion of 0 in lambda2
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in R
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in R
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in R
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in R
2.677 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.678 * [taylor]: Taking taylor expansion of 0 in R
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
2.681 * [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)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
2.681 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
2.681 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
2.681 * [taylor]: Taking taylor expansion of -1 in R
2.681 * [backup-simplify]: Simplify -1 into -1
2.681 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
2.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
2.682 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.682 * [taylor]: Taking taylor expansion of R in R
2.682 * [backup-simplify]: Simplify 0 into 0
2.682 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.683 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
2.683 * [taylor]: Taking taylor expansion of -1 in lambda2
2.683 * [backup-simplify]: Simplify -1 into -1
2.683 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
2.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
2.683 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.683 * [taylor]: Taking taylor expansion of R in lambda2
2.683 * [backup-simplify]: Simplify R into R
2.684 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.684 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
2.684 * [taylor]: Taking taylor expansion of -1 in lambda1
2.684 * [backup-simplify]: Simplify -1 into -1
2.684 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
2.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
2.684 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.684 * [taylor]: Taking taylor expansion of R in lambda1
2.684 * [backup-simplify]: Simplify R into R
2.685 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.685 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
2.685 * [taylor]: Taking taylor expansion of -1 in phi2
2.685 * [backup-simplify]: Simplify -1 into -1
2.685 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
2.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
2.686 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.686 * [taylor]: Taking taylor expansion of R in phi2
2.686 * [backup-simplify]: Simplify R into R
2.686 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.686 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
2.686 * [taylor]: Taking taylor expansion of -1 in phi1
2.686 * [backup-simplify]: Simplify -1 into -1
2.686 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
2.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
2.687 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.687 * [taylor]: Taking taylor expansion of R in phi1
2.687 * [backup-simplify]: Simplify R into R
2.688 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.688 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
2.688 * [taylor]: Taking taylor expansion of -1 in phi1
2.688 * [backup-simplify]: Simplify -1 into -1
2.688 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
2.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
2.688 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.688 * [taylor]: Taking taylor expansion of R in phi1
2.688 * [backup-simplify]: Simplify R into R
2.689 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.690 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
2.690 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
2.690 * [taylor]: Taking taylor expansion of -1 in phi2
2.690 * [backup-simplify]: Simplify -1 into -1
2.690 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
2.690 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
2.691 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.691 * [taylor]: Taking taylor expansion of R in phi2
2.691 * [backup-simplify]: Simplify R into R
2.691 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.692 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
2.692 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
2.692 * [taylor]: Taking taylor expansion of -1 in lambda1
2.692 * [backup-simplify]: Simplify -1 into -1
2.692 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
2.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
2.692 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.693 * [taylor]: Taking taylor expansion of R in lambda1
2.693 * [backup-simplify]: Simplify R into R
2.693 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.694 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
2.694 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
2.694 * [taylor]: Taking taylor expansion of -1 in lambda2
2.694 * [backup-simplify]: Simplify -1 into -1
2.694 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
2.694 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
2.694 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.694 * [taylor]: Taking taylor expansion of R in lambda2
2.694 * [backup-simplify]: Simplify R into R
2.695 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
2.696 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
2.696 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
2.696 * [taylor]: Taking taylor expansion of -1 in R
2.696 * [backup-simplify]: Simplify -1 into -1
2.696 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
2.696 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
2.696 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.696 * [taylor]: Taking taylor expansion of R in R
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
2.697 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
2.698 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
2.699 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
2.700 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
2.700 * [taylor]: Taking taylor expansion of 0 in phi2
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [taylor]: Taking taylor expansion of 0 in lambda1
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [taylor]: Taking taylor expansion of 0 in lambda2
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [taylor]: Taking taylor expansion of 0 in R
2.700 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
2.702 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
2.702 * [taylor]: Taking taylor expansion of 0 in lambda1
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [taylor]: Taking taylor expansion of 0 in lambda2
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [taylor]: Taking taylor expansion of 0 in R
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
2.703 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
2.703 * [taylor]: Taking taylor expansion of 0 in lambda2
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [taylor]: Taking taylor expansion of 0 in R
2.703 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
2.705 * [taylor]: Taking taylor expansion of 0 in R
2.705 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0
2.707 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
2.709 * [taylor]: Taking taylor expansion of 0 in phi2
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in lambda1
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in lambda2
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in R
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in lambda1
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in lambda2
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in R
2.709 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
2.711 * [taylor]: Taking taylor expansion of 0 in lambda1
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [taylor]: Taking taylor expansion of 0 in lambda2
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [taylor]: Taking taylor expansion of 0 in R
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [taylor]: Taking taylor expansion of 0 in lambda2
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [taylor]: Taking taylor expansion of 0 in R
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [taylor]: Taking taylor expansion of 0 in lambda2
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [taylor]: Taking taylor expansion of 0 in R
2.711 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
2.713 * [taylor]: Taking taylor expansion of 0 in lambda2
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [taylor]: Taking taylor expansion of 0 in R
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [taylor]: Taking taylor expansion of 0 in R
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [taylor]: Taking taylor expansion of 0 in R
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [taylor]: Taking taylor expansion of 0 in R
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
2.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
2.715 * [taylor]: Taking taylor expansion of 0 in R
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
2.719 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2)
2.719 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2))
2.719 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
2.719 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
2.719 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
2.720 * [taylor]: Taking taylor expansion of lambda1 in lambda2
2.720 * [backup-simplify]: Simplify lambda1 into lambda1
2.720 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1)
2.720 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1)
2.720 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
2.720 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
2.720 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
2.720 * [taylor]: Taking taylor expansion of lambda1 in lambda1
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
2.720 * [taylor]: Taking taylor expansion of lambda2 in lambda1
2.720 * [backup-simplify]: Simplify lambda2 into lambda2
2.720 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
2.720 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
2.720 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
2.720 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
2.720 * [taylor]: Taking taylor expansion of lambda1 in lambda1
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
2.720 * [taylor]: Taking taylor expansion of lambda2 in lambda1
2.720 * [backup-simplify]: Simplify lambda2 into lambda2
2.720 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2)
2.720 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2)
2.720 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2)
2.720 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0
2.720 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2)
2.720 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0
2.720 * [taylor]: Taking taylor expansion of 0 in lambda2
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify (+ 0) into 0
2.721 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0
2.721 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.724 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0
2.724 * [backup-simplify]: Simplify (+ 0 0) into 0
2.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2)
2.725 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
2.725 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify 1 into 1
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.726 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.727 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0
2.728 * [taylor]: Taking taylor expansion of 0 in lambda2
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.729 * [backup-simplify]: Simplify 1 into 1
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.730 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.731 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.731 * [backup-simplify]: Simplify (+ 0 0) into 0
2.732 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2)))
2.733 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
2.733 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
2.733 * [taylor]: Taking taylor expansion of 1/6 in lambda2
2.733 * [backup-simplify]: Simplify 1/6 into 1/6
2.733 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
2.733 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify (* 1/6 0) into 0
2.734 * [backup-simplify]: Simplify (- 0) into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.735 * [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
2.736 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.737 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.737 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
2.738 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0
2.740 * [taylor]: Taking taylor expansion of 0 in lambda2
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1)
2.740 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))
2.740 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
2.740 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
2.740 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
2.740 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
2.740 * [taylor]: Taking taylor expansion of lambda1 in lambda2
2.740 * [backup-simplify]: Simplify lambda1 into lambda1
2.740 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
2.740 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
2.740 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
2.740 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
2.740 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
2.740 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (/ 1 1) into 1
2.741 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
2.741 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
2.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
2.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
2.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (/ 1 1) into 1
2.741 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
2.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
2.741 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
2.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1
2.741 * [backup-simplify]: Simplify lambda2 into lambda2
2.741 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
2.741 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
2.741 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
2.741 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
2.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
2.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
2.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.742 * [backup-simplify]: Simplify (/ 1 1) into 1
2.742 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
2.742 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
2.742 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
2.742 * [taylor]: Taking taylor expansion of lambda2 in lambda1
2.742 * [backup-simplify]: Simplify lambda2 into lambda2
2.742 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2)
2.742 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
2.742 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2))
2.742 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2))
2.742 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0
2.742 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2))
2.742 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))
2.742 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
2.742 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
2.742 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
2.742 * [taylor]: Taking taylor expansion of lambda1 in lambda2
2.742 * [backup-simplify]: Simplify lambda1 into lambda1
2.742 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1)
2.742 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1))
2.742 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1))
2.742 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
2.742 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
2.742 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
2.743 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1))
2.743 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0
2.743 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1))
2.743 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))
2.743 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))
2.743 * [backup-simplify]: Simplify (+ 0) into 0
2.744 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0
2.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0
2.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.745 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0
2.745 * [backup-simplify]: Simplify (+ 0 0) into 0
2.745 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0
2.745 * [taylor]: Taking taylor expansion of 0 in lambda2
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify (+ 0) into 0
2.746 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0
2.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0
2.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.746 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0
2.747 * [backup-simplify]: Simplify (+ 0 0) into 0
2.747 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda2)))) into 0
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.748 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
2.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
2.748 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.749 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
2.749 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0
2.749 * [taylor]: Taking taylor expansion of 0 in lambda2
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.750 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
2.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.751 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
2.752 * [backup-simplify]: Simplify (+ 0 0) into 0
2.752 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0
2.752 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.753 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
2.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.755 * [backup-simplify]: Simplify (+ 0 0) into 0
2.755 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0
2.755 * [taylor]: Taking taylor expansion of 0 in lambda2
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda1))) (sin (/ 1 (/ 1 lambda2)))) into (* (sin lambda1) (sin lambda2))
2.756 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
2.756 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
2.756 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
2.756 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
2.756 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
2.756 * [taylor]: Taking taylor expansion of -1 in lambda2
2.756 * [backup-simplify]: Simplify -1 into -1
2.756 * [taylor]: Taking taylor expansion of lambda1 in lambda2
2.756 * [backup-simplify]: Simplify lambda1 into lambda1
2.756 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
2.756 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
2.756 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
2.756 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
2.756 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
2.756 * [taylor]: Taking taylor expansion of -1 in lambda2
2.756 * [backup-simplify]: Simplify -1 into -1
2.756 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.756 * [backup-simplify]: Simplify (/ -1 1) into -1
2.756 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
2.756 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
2.756 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
2.756 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
2.756 * [taylor]: Taking taylor expansion of -1 in lambda1
2.756 * [backup-simplify]: Simplify -1 into -1
2.756 * [taylor]: Taking taylor expansion of lambda1 in lambda1
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (/ -1 1) into -1
2.757 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
2.757 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
2.757 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
2.757 * [taylor]: Taking taylor expansion of -1 in lambda1
2.757 * [backup-simplify]: Simplify -1 into -1
2.757 * [taylor]: Taking taylor expansion of lambda2 in lambda1
2.757 * [backup-simplify]: Simplify lambda2 into lambda2
2.757 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
2.757 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
2.757 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
2.757 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
2.757 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
2.757 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
2.757 * [taylor]: Taking taylor expansion of -1 in lambda1
2.757 * [backup-simplify]: Simplify -1 into -1
2.757 * [taylor]: Taking taylor expansion of lambda1 in lambda1
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (/ -1 1) into -1
2.758 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
2.758 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
2.758 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
2.758 * [taylor]: Taking taylor expansion of -1 in lambda1
2.758 * [backup-simplify]: Simplify -1 into -1
2.758 * [taylor]: Taking taylor expansion of lambda2 in lambda1
2.758 * [backup-simplify]: Simplify lambda2 into lambda2
2.758 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2)
2.758 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
2.758 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2))
2.758 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2))
2.758 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0
2.758 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2))
2.758 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
2.758 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
2.758 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
2.758 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
2.758 * [taylor]: Taking taylor expansion of -1 in lambda2
2.758 * [backup-simplify]: Simplify -1 into -1
2.758 * [taylor]: Taking taylor expansion of lambda1 in lambda2
2.758 * [backup-simplify]: Simplify lambda1 into lambda1
2.758 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1)
2.758 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1))
2.758 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1))
2.758 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
2.758 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
2.758 * [taylor]: Taking taylor expansion of -1 in lambda2
2.758 * [backup-simplify]: Simplify -1 into -1
2.758 * [taylor]: Taking taylor expansion of lambda2 in lambda2
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 1 into 1
2.759 * [backup-simplify]: Simplify (/ -1 1) into -1
2.759 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
2.759 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1))
2.759 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0
2.759 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1))
2.759 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
2.759 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))
2.759 * [backup-simplify]: Simplify (+ 0) into 0
2.760 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0
2.760 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0
2.760 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0
2.761 * [backup-simplify]: Simplify (+ 0 0) into 0
2.761 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
2.761 * [taylor]: Taking taylor expansion of 0 in lambda2
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify (+ 0) into 0
2.762 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0
2.762 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.763 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0
2.763 * [backup-simplify]: Simplify (+ 0 0) into 0
2.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.764 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0
2.764 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
2.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.765 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0
2.765 * [backup-simplify]: Simplify (+ 0 0) into 0
2.765 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
2.765 * [taylor]: Taking taylor expansion of 0 in lambda2
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.767 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0
2.767 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0
2.767 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.768 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0
2.768 * [backup-simplify]: Simplify (+ 0 0) into 0
2.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0
2.768 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.769 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.769 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0
2.770 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.771 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.771 * [backup-simplify]: Simplify (+ 0 0) into 0
2.771 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0
2.771 * [taylor]: Taking taylor expansion of 0 in lambda2
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2))
2.772 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
2.772 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2))
2.772 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
2.772 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
2.772 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
2.772 * [taylor]: Taking taylor expansion of phi1 in phi2
2.772 * [backup-simplify]: Simplify phi1 into phi1
2.772 * [backup-simplify]: Simplify (sin phi1) into (sin phi1)
2.772 * [backup-simplify]: Simplify (cos phi1) into (cos phi1)
2.772 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
2.772 * [taylor]: Taking taylor expansion of phi2 in phi2
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
2.772 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
2.772 * [taylor]: Taking taylor expansion of phi1 in phi1
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
2.772 * [taylor]: Taking taylor expansion of phi2 in phi1
2.772 * [backup-simplify]: Simplify phi2 into phi2
2.772 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
2.772 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
2.772 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
2.772 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
2.772 * [taylor]: Taking taylor expansion of phi1 in phi1
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
2.772 * [taylor]: Taking taylor expansion of phi2 in phi1
2.772 * [backup-simplify]: Simplify phi2 into phi2
2.772 * [backup-simplify]: Simplify (sin phi2) into (sin phi2)
2.772 * [backup-simplify]: Simplify (cos phi2) into (cos phi2)
2.773 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2)
2.773 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0
2.773 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2)
2.773 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0
2.773 * [taylor]: Taking taylor expansion of 0 in phi2
2.773 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify 0 into 0
2.773 * [backup-simplify]: Simplify (+ 0) into 0
2.773 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0
2.774 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.774 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0
2.774 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2)
2.775 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
2.775 * [taylor]: Taking taylor expansion of phi2 in phi2
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 1 into 1
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.776 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0
2.777 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.777 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0
2.777 * [backup-simplify]: Simplify (+ 0 0) into 0
2.778 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0
2.778 * [taylor]: Taking taylor expansion of 0 in phi2
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
2.779 * [backup-simplify]: Simplify 1 into 1
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.780 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.781 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
2.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2)))
2.783 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
2.783 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
2.783 * [taylor]: Taking taylor expansion of 1/6 in phi2
2.783 * [backup-simplify]: Simplify 1/6 into 1/6
2.783 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
2.783 * [taylor]: Taking taylor expansion of phi2 in phi2
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 1 into 1
2.783 * [backup-simplify]: Simplify (* 1/6 0) into 0
2.783 * [backup-simplify]: Simplify (- 0) into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 0 into 0
2.785 * [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
2.786 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.787 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.787 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
2.787 * [backup-simplify]: Simplify (+ 0 0) into 0
2.788 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
2.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0
2.789 * [taylor]: Taking taylor expansion of 0 in phi2
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi2 phi1)
2.790 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
2.790 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
2.790 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
2.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
2.790 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
2.790 * [taylor]: Taking taylor expansion of phi1 in phi2
2.790 * [backup-simplify]: Simplify phi1 into phi1
2.790 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
2.790 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
2.790 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
2.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
2.790 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
2.790 * [taylor]: Taking taylor expansion of phi2 in phi2
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.790 * [backup-simplify]: Simplify (/ 1 1) into 1
2.790 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
2.790 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
2.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
2.790 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
2.790 * [taylor]: Taking taylor expansion of phi1 in phi1
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (/ 1 1) into 1
2.791 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
2.791 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
2.791 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
2.791 * [taylor]: Taking taylor expansion of phi2 in phi1
2.791 * [backup-simplify]: Simplify phi2 into phi2
2.791 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
2.791 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
2.791 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
2.791 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
2.791 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
2.791 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
2.791 * [taylor]: Taking taylor expansion of phi1 in phi1
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (/ 1 1) into 1
2.791 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
2.791 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
2.791 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
2.791 * [taylor]: Taking taylor expansion of phi2 in phi1
2.791 * [backup-simplify]: Simplify phi2 into phi2
2.791 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2)
2.791 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
2.792 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2))
2.792 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2))
2.792 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0
2.792 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2))
2.792 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
2.792 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
2.792 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
2.792 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
2.792 * [taylor]: Taking taylor expansion of phi1 in phi2
2.792 * [backup-simplify]: Simplify phi1 into phi1
2.792 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1)
2.792 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1))
2.792 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1))
2.792 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
2.792 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
2.792 * [taylor]: Taking taylor expansion of phi2 in phi2
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 1 into 1
2.792 * [backup-simplify]: Simplify (/ 1 1) into 1
2.792 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2))
2.793 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1))
2.793 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0
2.793 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1))
2.793 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
2.793 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))
2.793 * [backup-simplify]: Simplify (+ 0) into 0
2.793 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0
2.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0
2.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.794 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0
2.794 * [backup-simplify]: Simplify (+ 0 0) into 0
2.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
2.795 * [taylor]: Taking taylor expansion of 0 in phi2
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify (+ 0) into 0
2.795 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0
2.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0
2.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0
2.796 * [backup-simplify]: Simplify (+ 0 0) into 0
2.796 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 (sin (/ 1 phi2)))) into 0
2.796 * [backup-simplify]: Simplify 0 into 0
2.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.797 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
2.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
2.798 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.799 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
2.799 * [taylor]: Taking taylor expansion of 0 in phi2
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.799 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.800 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
2.801 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.801 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
2.802 * [backup-simplify]: Simplify (+ 0 0) into 0
2.802 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2))))) into 0
2.802 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
2.806 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.807 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.807 * [backup-simplify]: Simplify (+ 0 0) into 0
2.808 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi2)))))) into 0
2.808 * [taylor]: Taking taylor expansion of 0 in phi2
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) into (* (sin phi1) (sin phi2))
2.809 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
2.809 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
2.809 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
2.809 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
2.809 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
2.809 * [taylor]: Taking taylor expansion of -1 in phi2
2.809 * [backup-simplify]: Simplify -1 into -1
2.809 * [taylor]: Taking taylor expansion of phi1 in phi2
2.809 * [backup-simplify]: Simplify phi1 into phi1
2.809 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
2.809 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
2.809 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
2.809 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
2.809 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
2.809 * [taylor]: Taking taylor expansion of -1 in phi2
2.809 * [backup-simplify]: Simplify -1 into -1
2.809 * [taylor]: Taking taylor expansion of phi2 in phi2
2.809 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify 1 into 1
2.810 * [backup-simplify]: Simplify (/ -1 1) into -1
2.810 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
2.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
2.810 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
2.810 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
2.810 * [taylor]: Taking taylor expansion of -1 in phi1
2.810 * [backup-simplify]: Simplify -1 into -1
2.810 * [taylor]: Taking taylor expansion of phi1 in phi1
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (/ -1 1) into -1
2.811 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
2.811 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
2.811 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
2.811 * [taylor]: Taking taylor expansion of -1 in phi1
2.811 * [backup-simplify]: Simplify -1 into -1
2.811 * [taylor]: Taking taylor expansion of phi2 in phi1
2.811 * [backup-simplify]: Simplify phi2 into phi2
2.811 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
2.811 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
2.811 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
2.811 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
2.811 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
2.811 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
2.811 * [taylor]: Taking taylor expansion of -1 in phi1
2.811 * [backup-simplify]: Simplify -1 into -1
2.811 * [taylor]: Taking taylor expansion of phi1 in phi1
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.812 * [backup-simplify]: Simplify (/ -1 1) into -1
2.812 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
2.812 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
2.812 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
2.812 * [taylor]: Taking taylor expansion of -1 in phi1
2.812 * [backup-simplify]: Simplify -1 into -1
2.812 * [taylor]: Taking taylor expansion of phi2 in phi1
2.812 * [backup-simplify]: Simplify phi2 into phi2
2.812 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2)
2.812 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
2.812 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2))
2.812 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2))
2.813 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0
2.813 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2))
2.813 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
2.813 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
2.813 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
2.813 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
2.813 * [taylor]: Taking taylor expansion of -1 in phi2
2.813 * [backup-simplify]: Simplify -1 into -1
2.813 * [taylor]: Taking taylor expansion of phi1 in phi2
2.813 * [backup-simplify]: Simplify phi1 into phi1
2.813 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1)
2.813 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1))
2.813 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1))
2.813 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
2.813 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
2.813 * [taylor]: Taking taylor expansion of -1 in phi2
2.813 * [backup-simplify]: Simplify -1 into -1
2.813 * [taylor]: Taking taylor expansion of phi2 in phi2
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 1 into 1
2.814 * [backup-simplify]: Simplify (/ -1 1) into -1
2.814 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2))
2.814 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1))
2.814 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0
2.814 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1))
2.814 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
2.815 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))
2.815 * [backup-simplify]: Simplify (+ 0) into 0
2.816 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0
2.816 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0
2.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.817 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0
2.817 * [backup-simplify]: Simplify (+ 0 0) into 0
2.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
2.817 * [taylor]: Taking taylor expansion of 0 in phi2
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify (+ 0) into 0
2.818 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0
2.818 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0
2.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
2.819 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0
2.819 * [backup-simplify]: Simplify (+ 0 0) into 0
2.819 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0
2.819 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.820 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0
2.820 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
2.821 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0
2.821 * [backup-simplify]: Simplify (+ 0 0) into 0
2.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
2.822 * [taylor]: Taking taylor expansion of 0 in phi2
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
2.827 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0
2.827 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
2.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
2.830 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.830 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0
2.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
2.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
2.831 * [backup-simplify]: Simplify (+ 0 0) into 0
2.832 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0
2.832 * [taylor]: Taking taylor expansion of 0 in phi2
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2))
2.832 * * * [progress]: simplifying candidates
2.833 * [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 (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
2.834 * [simplify]: Sending expressions to egg_math:
 (/ h0 2)
 (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))
 (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5)
 (+ (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (log h5))
 (log (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5))
 (exp (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5))
 (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (* (* h5 h5) h5))
 (* (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5)) (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5)))
 (cbrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5))
 (* (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5)) (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5))
 (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5))
 (sqrt (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5))
 (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (sqrt h5))
 (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (sqrt h5))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) (* (cbrt h5) (cbrt h5)))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) (sqrt h5))
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) 1)
 (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) h5)
 (* (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) h5)
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) h5)
 (- (cos (- h2 h1)) (cos (+ h2 h1)))
 (* (sin h2) (sin h1))
 (+ (log (sin h2)) (log (sin h1)))
 (log (* (sin h2) (sin h1)))
 (exp (* (sin h2) (sin h1)))
 (* (* (* (sin h2) (sin h2)) (sin h2)) (* (* (sin h1) (sin h1)) (sin h1)))
 (* (cbrt (* (sin h2) (sin h1))) (cbrt (* (sin h2) (sin h1))))
 (cbrt (* (sin h2) (sin h1)))
 (* (* (* (sin h2) (sin h1)) (* (sin h2) (sin h1))) (* (sin h2) (sin h1)))
 (sqrt (* (sin h2) (sin h1)))
 (sqrt (* (sin h2) (sin h1)))
 (* (sqrt (sin h2)) (sqrt (sin h1)))
 (* (sqrt (sin h2)) (sqrt (sin h1)))
 (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1))))
 (* (sin h2) (sqrt (sin h1)))
 (* (sin h2) 1)
 (* (cbrt (sin h2)) (sin h1))
 (* (sqrt (sin h2)) (sin h1))
 (* (sin h2) (sin h1))
 (- (cos (- h4 h3)) (cos (+ h4 h3)))
 (* (sin h4) (sin h3))
 (+ (log (sin h4)) (log (sin h3)))
 (log (* (sin h4) (sin h3)))
 (exp (* (sin h4) (sin h3)))
 (* (* (* (sin h4) (sin h4)) (sin h4)) (* (* (sin h3) (sin h3)) (sin h3)))
 (* (cbrt (* (sin h4) (sin h3))) (cbrt (* (sin h4) (sin h3))))
 (cbrt (* (sin h4) (sin h3)))
 (* (* (* (sin h4) (sin h3)) (* (sin h4) (sin h3))) (* (sin h4) (sin h3)))
 (sqrt (* (sin h4) (sin h3)))
 (sqrt (* (sin h4) (sin h3)))
 (* (sqrt (sin h4)) (sqrt (sin h3)))
 (* (sqrt (sin h4)) (sqrt (sin h3)))
 (* (sin h4) (* (cbrt (sin h3)) (cbrt (sin h3))))
 (* (sin h4) (sqrt (sin h3)))
 (* (sin h4) 1)
 (* (cbrt (sin h4)) (sin h3))
 (* (sqrt (sin h4)) (sin h3))
 (* (sin h4) (sin h3))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3)))))
 (* (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1))))))) h5)
 (* (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1))))))) h5)
 (* (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))) h5)
 (* h1 h2)
 (* (sin h2) (sin h1))
 (* (sin h2) (sin h1))
 (* h3 h4)
 (* (sin h4) (sin h3))
 (* (sin h4) (sin h3))
4.185 * * * [progress]: adding candidates to table
4.642 * * [progress]: iteration 3 / 4
4.642 * * * [progress]: picking best candidate
4.732 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
4.732 * * * [progress]: localizing error
4.812 * * * [progress]: generating rewritten candidates
4.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1)
4.815 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.820 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
4.824 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
4.860 * * * [progress]: generating series expansions
4.860 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1)
4.860 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.860 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.861 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.861 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.861 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.862 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.862 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.863 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.863 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.864 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.864 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.864 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.864 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.865 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.865 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.866 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.866 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.867 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.868 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.868 * [taylor]: Taking taylor expansion of 0 in phi2
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [taylor]: Taking taylor expansion of 0 in lambda1
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [taylor]: Taking taylor expansion of 0 in lambda2
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [taylor]: Taking taylor expansion of 0 in lambda1
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [taylor]: Taking taylor expansion of 0 in lambda2
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [taylor]: Taking taylor expansion of 0 in lambda2
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.869 * [taylor]: Taking taylor expansion of 0 in phi2
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [taylor]: Taking taylor expansion of 0 in lambda1
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [taylor]: Taking taylor expansion of 0 in lambda2
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [taylor]: Taking taylor expansion of 0 in lambda1
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [taylor]: Taking taylor expansion of 0 in lambda2
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.870 * [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 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.870 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.870 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.870 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.870 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.871 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.871 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.872 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.872 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.872 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.873 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.874 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.874 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.875 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.875 * [taylor]: Taking taylor expansion of 0 in phi2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda1
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda1
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in phi2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda1
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda1
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [taylor]: Taking taylor expansion of 0 in lambda2
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 0 into 0
4.876 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.877 * [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)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.877 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
4.877 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.877 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.877 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.878 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.878 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.879 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.879 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.880 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.881 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.881 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.882 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.882 * [taylor]: Taking taylor expansion of 0 in phi2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda1
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda1
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in phi2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda1
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda1
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [taylor]: Taking taylor expansion of 0 in lambda2
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.883 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.883 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.884 * [backup-simplify]: Simplify (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.884 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.884 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.884 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.885 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.885 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.885 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.885 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.885 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.885 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.886 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.886 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.887 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.887 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.888 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.888 * [taylor]: Taking taylor expansion of 0 in phi2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda1
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda1
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in phi2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda1
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda1
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [taylor]: Taking taylor expansion of 0 in lambda2
4.888 * [backup-simplify]: Simplify 0 into 0
4.888 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.889 * [backup-simplify]: Simplify (log (exp (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 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.889 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.890 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.891 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.891 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.892 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.892 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.893 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.893 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.894 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.895 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.895 * [taylor]: Taking taylor expansion of 0 in phi2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda1
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda1
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in phi2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda1
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda1
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [taylor]: Taking taylor expansion of 0 in lambda2
4.895 * [backup-simplify]: Simplify 0 into 0
4.895 * [backup-simplify]: Simplify 0 into 0
4.896 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.897 * [backup-simplify]: Simplify (log (exp (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)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.897 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
4.897 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.898 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.899 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.899 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.900 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.901 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.902 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.903 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.904 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.905 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.906 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.908 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.908 * [taylor]: Taking taylor expansion of 0 in phi2
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [taylor]: Taking taylor expansion of 0 in lambda1
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [taylor]: Taking taylor expansion of 0 in lambda2
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [taylor]: Taking taylor expansion of 0 in lambda1
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [taylor]: Taking taylor expansion of 0 in lambda2
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify 0 into 0
4.908 * [taylor]: Taking taylor expansion of 0 in lambda2
4.908 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [taylor]: Taking taylor expansion of 0 in phi2
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [taylor]: Taking taylor expansion of 0 in lambda1
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [taylor]: Taking taylor expansion of 0 in lambda2
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [taylor]: Taking taylor expansion of 0 in lambda1
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [taylor]: Taking taylor expansion of 0 in lambda2
4.909 * [backup-simplify]: Simplify 0 into 0
4.909 * [backup-simplify]: Simplify 0 into 0
4.911 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
4.911 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
4.912 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.912 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.912 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.913 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.914 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.914 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.914 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.915 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.916 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.916 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.916 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.916 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.917 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.917 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.917 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.918 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.919 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.919 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
4.919 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
4.920 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.921 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.921 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
4.921 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
4.922 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.923 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.923 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
4.923 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
4.924 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.925 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.925 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
4.925 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
4.926 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
4.927 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.927 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.930 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.930 * [taylor]: Taking taylor expansion of 0 in phi2
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [taylor]: Taking taylor expansion of 0 in lambda1
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [taylor]: Taking taylor expansion of 0 in lambda2
4.930 * [backup-simplify]: Simplify 0 into 0
4.930 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.932 * [taylor]: Taking taylor expansion of 0 in lambda1
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [taylor]: Taking taylor expansion of 0 in lambda2
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.934 * [taylor]: Taking taylor expansion of 0 in lambda2
4.934 * [backup-simplify]: Simplify 0 into 0
4.934 * [backup-simplify]: Simplify 0 into 0
4.936 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.936 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.939 * [taylor]: Taking taylor expansion of 0 in phi2
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [taylor]: Taking taylor expansion of 0 in lambda1
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [taylor]: Taking taylor expansion of 0 in lambda2
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [taylor]: Taking taylor expansion of 0 in lambda1
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [taylor]: Taking taylor expansion of 0 in lambda2
4.939 * [backup-simplify]: Simplify 0 into 0
4.939 * [backup-simplify]: Simplify 0 into 0
4.940 * [backup-simplify]: Simplify (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.941 * [backup-simplify]: Simplify (exp (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 (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.941 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.941 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.942 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.943 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.944 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.944 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.945 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.946 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.946 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.946 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.947 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.948 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.948 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.948 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.949 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.950 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.951 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
4.951 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
4.952 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.953 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.953 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
4.953 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
4.954 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.955 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.955 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
4.955 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
4.956 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.958 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.958 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
4.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
4.959 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
4.960 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.961 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))))
4.969 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.969 * [taylor]: Taking taylor expansion of 0 in phi2
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [taylor]: Taking taylor expansion of 0 in lambda1
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [taylor]: Taking taylor expansion of 0 in lambda2
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [backup-simplify]: Simplify 0 into 0
4.972 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.972 * [taylor]: Taking taylor expansion of 0 in lambda1
4.972 * [backup-simplify]: Simplify 0 into 0
4.972 * [taylor]: Taking taylor expansion of 0 in lambda2
4.972 * [backup-simplify]: Simplify 0 into 0
4.972 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.975 * [taylor]: Taking taylor expansion of 0 in lambda2
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.977 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.980 * [taylor]: Taking taylor expansion of 0 in phi2
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [taylor]: Taking taylor expansion of 0 in lambda1
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [taylor]: Taking taylor expansion of 0 in lambda2
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [taylor]: Taking taylor expansion of 0 in lambda1
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [taylor]: Taking taylor expansion of 0 in lambda2
4.980 * [backup-simplify]: Simplify 0 into 0
4.980 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
4.983 * [backup-simplify]: Simplify (exp (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 (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.983 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
4.983 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
4.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
4.984 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.985 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.985 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.987 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.988 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.988 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.989 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.990 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.991 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.992 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.993 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.993 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
4.993 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
4.994 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.995 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.995 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
4.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
4.997 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
4.998 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
4.998 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
4.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
4.999 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.000 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
5.000 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
5.000 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
5.001 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.002 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
5.004 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
5.006 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.006 * [taylor]: Taking taylor expansion of 0 in phi2
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [taylor]: Taking taylor expansion of 0 in lambda1
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [taylor]: Taking taylor expansion of 0 in lambda2
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.009 * [taylor]: Taking taylor expansion of 0 in lambda1
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [taylor]: Taking taylor expansion of 0 in lambda2
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.011 * [taylor]: Taking taylor expansion of 0 in lambda2
5.011 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify 0 into 0
5.013 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.014 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.016 * [taylor]: Taking taylor expansion of 0 in phi2
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [taylor]: Taking taylor expansion of 0 in lambda1
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [taylor]: Taking taylor expansion of 0 in lambda2
5.016 * [backup-simplify]: Simplify 0 into 0
5.017 * [backup-simplify]: Simplify 0 into 0
5.017 * [taylor]: Taking taylor expansion of 0 in lambda1
5.017 * [backup-simplify]: Simplify 0 into 0
5.017 * [taylor]: Taking taylor expansion of 0 in lambda2
5.017 * [backup-simplify]: Simplify 0 into 0
5.017 * [backup-simplify]: Simplify 0 into 0
5.018 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) into (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
5.018 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.020 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.020 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
5.020 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
5.020 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
5.021 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.021 * [taylor]: Taking taylor expansion of R in R
5.021 * [backup-simplify]: Simplify 0 into 0
5.021 * [backup-simplify]: Simplify 1 into 1
5.021 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
5.021 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
5.022 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.022 * [taylor]: Taking taylor expansion of R in lambda2
5.022 * [backup-simplify]: Simplify R into R
5.022 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
5.022 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
5.023 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.023 * [taylor]: Taking taylor expansion of R in lambda1
5.023 * [backup-simplify]: Simplify R into R
5.023 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
5.023 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
5.024 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.024 * [taylor]: Taking taylor expansion of R in phi2
5.024 * [backup-simplify]: Simplify R into R
5.024 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
5.024 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
5.024 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.024 * [taylor]: Taking taylor expansion of R in phi1
5.025 * [backup-simplify]: Simplify R into R
5.025 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
5.025 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
5.025 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.025 * [taylor]: Taking taylor expansion of R in phi1
5.026 * [backup-simplify]: Simplify R into R
5.026 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.026 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
5.027 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
5.027 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.027 * [taylor]: Taking taylor expansion of R in phi2
5.027 * [backup-simplify]: Simplify R into R
5.028 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.028 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
5.028 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
5.029 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.029 * [taylor]: Taking taylor expansion of R in lambda1
5.029 * [backup-simplify]: Simplify R into R
5.030 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.030 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
5.030 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
5.031 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.031 * [taylor]: Taking taylor expansion of R in lambda2
5.031 * [backup-simplify]: Simplify R into R
5.032 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.032 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
5.032 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
5.033 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.033 * [taylor]: Taking taylor expansion of R in R
5.033 * [backup-simplify]: Simplify 0 into 0
5.033 * [backup-simplify]: Simplify 1 into 1
5.034 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) into 0
5.034 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
5.035 * [taylor]: Taking taylor expansion of 0 in phi2
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [taylor]: Taking taylor expansion of 0 in lambda1
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [taylor]: Taking taylor expansion of 0 in lambda2
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [taylor]: Taking taylor expansion of 0 in R
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 0 into 0
5.036 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
5.036 * [taylor]: Taking taylor expansion of 0 in lambda1
5.036 * [backup-simplify]: Simplify 0 into 0
5.036 * [taylor]: Taking taylor expansion of 0 in lambda2
5.036 * [backup-simplify]: Simplify 0 into 0
5.036 * [taylor]: Taking taylor expansion of 0 in R
5.036 * [backup-simplify]: Simplify 0 into 0
5.036 * [backup-simplify]: Simplify 0 into 0
5.037 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
5.037 * [taylor]: Taking taylor expansion of 0 in lambda2
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [taylor]: Taking taylor expansion of 0 in R
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (* 0 R)) into 0
5.039 * [taylor]: Taking taylor expansion of 0 in R
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 1) (* 0 0)) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.041 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
5.043 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0
5.043 * [taylor]: Taking taylor expansion of 0 in phi2
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [taylor]: Taking taylor expansion of 0 in lambda1
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [taylor]: Taking taylor expansion of 0 in lambda2
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [taylor]: Taking taylor expansion of 0 in R
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [backup-simplify]: Simplify 0 into 0
5.043 * [taylor]: Taking taylor expansion of 0 in lambda1
5.043 * [backup-simplify]: Simplify 0 into 0
5.044 * [taylor]: Taking taylor expansion of 0 in lambda2
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [taylor]: Taking taylor expansion of 0 in R
5.044 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify 0 into 0
5.045 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0
5.045 * [taylor]: Taking taylor expansion of 0 in lambda1
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [taylor]: Taking taylor expansion of 0 in lambda2
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [taylor]: Taking taylor expansion of 0 in R
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [taylor]: Taking taylor expansion of 0 in lambda2
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [taylor]: Taking taylor expansion of 0 in R
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [backup-simplify]: Simplify 0 into 0
5.046 * [taylor]: Taking taylor expansion of 0 in lambda2
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [taylor]: Taking taylor expansion of 0 in R
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (+ (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) 0) (+ (* 0 0) (* 0 R))) into 0
5.047 * [taylor]: Taking taylor expansion of 0 in lambda2
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [taylor]: Taking taylor expansion of 0 in R
5.047 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.051 * [backup-simplify]: Simplify (* (log (exp (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 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.051 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
5.051 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
5.051 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
5.052 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.052 * [taylor]: Taking taylor expansion of R in R
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.053 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.053 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
5.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
5.055 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.055 * [taylor]: Taking taylor expansion of R in lambda2
5.055 * [backup-simplify]: Simplify R into R
5.056 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.056 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
5.056 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
5.057 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.057 * [taylor]: Taking taylor expansion of R in lambda1
5.057 * [backup-simplify]: Simplify R into R
5.058 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.058 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
5.058 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
5.059 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.060 * [taylor]: Taking taylor expansion of R in phi2
5.060 * [backup-simplify]: Simplify R into R
5.061 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.061 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
5.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
5.061 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.061 * [taylor]: Taking taylor expansion of R in phi1
5.061 * [backup-simplify]: Simplify R into R
5.062 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.062 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
5.062 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
5.062 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.063 * [taylor]: Taking taylor expansion of R in phi1
5.063 * [backup-simplify]: Simplify R into R
5.063 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.063 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
5.063 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
5.064 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.064 * [taylor]: Taking taylor expansion of R in phi2
5.064 * [backup-simplify]: Simplify R into R
5.064 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.064 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
5.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
5.065 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.065 * [taylor]: Taking taylor expansion of R in lambda1
5.065 * [backup-simplify]: Simplify R into R
5.066 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.066 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
5.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
5.066 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.066 * [taylor]: Taking taylor expansion of R in lambda2
5.066 * [backup-simplify]: Simplify R into R
5.067 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R)
5.067 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
5.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
5.067 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.067 * [taylor]: Taking taylor expansion of R in R
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify 1 into 1
5.068 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.068 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
5.069 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.069 * [taylor]: Taking taylor expansion of 0 in phi2
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [taylor]: Taking taylor expansion of 0 in lambda1
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [taylor]: Taking taylor expansion of 0 in lambda2
5.069 * [backup-simplify]: Simplify 0 into 0
5.069 * [taylor]: Taking taylor expansion of 0 in R
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.070 * [taylor]: Taking taylor expansion of 0 in lambda1
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [taylor]: Taking taylor expansion of 0 in lambda2
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [taylor]: Taking taylor expansion of 0 in R
5.070 * [backup-simplify]: Simplify 0 into 0
5.071 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.071 * [taylor]: Taking taylor expansion of 0 in lambda2
5.071 * [backup-simplify]: Simplify 0 into 0
5.071 * [taylor]: Taking taylor expansion of 0 in R
5.071 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0
5.072 * [taylor]: Taking taylor expansion of 0 in R
5.072 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0
5.073 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.074 * [taylor]: Taking taylor expansion of 0 in phi2
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in lambda1
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in lambda2
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in R
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in lambda1
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in lambda2
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [taylor]: Taking taylor expansion of 0 in R
5.074 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.075 * [taylor]: Taking taylor expansion of 0 in lambda1
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [taylor]: Taking taylor expansion of 0 in lambda2
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [taylor]: Taking taylor expansion of 0 in R
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [taylor]: Taking taylor expansion of 0 in lambda2
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [taylor]: Taking taylor expansion of 0 in R
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [taylor]: Taking taylor expansion of 0 in lambda2
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [taylor]: Taking taylor expansion of 0 in R
5.075 * [backup-simplify]: Simplify 0 into 0
5.076 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.076 * [taylor]: Taking taylor expansion of 0 in lambda2
5.076 * [backup-simplify]: Simplify 0 into 0
5.076 * [taylor]: Taking taylor expansion of 0 in R
5.076 * [backup-simplify]: Simplify 0 into 0
5.076 * [taylor]: Taking taylor expansion of 0 in R
5.076 * [backup-simplify]: Simplify 0 into 0
5.076 * [taylor]: Taking taylor expansion of 0 in R
5.076 * [backup-simplify]: Simplify 0 into 0
5.076 * [taylor]: Taking taylor expansion of 0 in R
5.076 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.077 * [taylor]: Taking taylor expansion of 0 in R
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.079 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
5.081 * [backup-simplify]: Simplify (* (log (exp (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)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
5.081 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
5.081 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
5.081 * [taylor]: Taking taylor expansion of -1 in R
5.081 * [backup-simplify]: Simplify -1 into -1
5.081 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
5.081 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
5.082 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.082 * [taylor]: Taking taylor expansion of R in R
5.082 * [backup-simplify]: Simplify 0 into 0
5.082 * [backup-simplify]: Simplify 1 into 1
5.083 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.083 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
5.083 * [taylor]: Taking taylor expansion of -1 in lambda2
5.083 * [backup-simplify]: Simplify -1 into -1
5.083 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
5.083 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
5.084 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.084 * [taylor]: Taking taylor expansion of R in lambda2
5.084 * [backup-simplify]: Simplify R into R
5.085 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.085 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
5.085 * [taylor]: Taking taylor expansion of -1 in lambda1
5.085 * [backup-simplify]: Simplify -1 into -1
5.086 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
5.086 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
5.087 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.087 * [taylor]: Taking taylor expansion of R in lambda1
5.087 * [backup-simplify]: Simplify R into R
5.088 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.088 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
5.088 * [taylor]: Taking taylor expansion of -1 in phi2
5.088 * [backup-simplify]: Simplify -1 into -1
5.088 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
5.088 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
5.089 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.089 * [taylor]: Taking taylor expansion of R in phi2
5.089 * [backup-simplify]: Simplify R into R
5.090 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.090 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
5.091 * [taylor]: Taking taylor expansion of -1 in phi1
5.091 * [backup-simplify]: Simplify -1 into -1
5.091 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
5.091 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
5.092 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.092 * [taylor]: Taking taylor expansion of R in phi1
5.092 * [backup-simplify]: Simplify R into R
5.093 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.093 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
5.093 * [taylor]: Taking taylor expansion of -1 in phi1
5.093 * [backup-simplify]: Simplify -1 into -1
5.093 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
5.093 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
5.094 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.094 * [taylor]: Taking taylor expansion of R in phi1
5.095 * [backup-simplify]: Simplify R into R
5.096 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.097 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
5.097 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
5.097 * [taylor]: Taking taylor expansion of -1 in phi2
5.097 * [backup-simplify]: Simplify -1 into -1
5.097 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
5.097 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
5.098 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.098 * [taylor]: Taking taylor expansion of R in phi2
5.098 * [backup-simplify]: Simplify R into R
5.100 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.101 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
5.101 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
5.101 * [taylor]: Taking taylor expansion of -1 in lambda1
5.101 * [backup-simplify]: Simplify -1 into -1
5.101 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
5.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
5.102 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.102 * [taylor]: Taking taylor expansion of R in lambda1
5.102 * [backup-simplify]: Simplify R into R
5.103 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.105 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
5.105 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
5.105 * [taylor]: Taking taylor expansion of -1 in lambda2
5.105 * [backup-simplify]: Simplify -1 into -1
5.105 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
5.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
5.106 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.106 * [taylor]: Taking taylor expansion of R in lambda2
5.106 * [backup-simplify]: Simplify R into R
5.107 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)
5.108 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))
5.108 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
5.108 * [taylor]: Taking taylor expansion of -1 in R
5.109 * [backup-simplify]: Simplify -1 into -1
5.109 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
5.109 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
5.110 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.110 * [taylor]: Taking taylor expansion of R in R
5.110 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify 1 into 1
5.111 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
5.112 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
5.113 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))
5.115 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
5.117 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
5.117 * [taylor]: Taking taylor expansion of 0 in phi2
5.117 * [backup-simplify]: Simplify 0 into 0
5.117 * [taylor]: Taking taylor expansion of 0 in lambda1
5.117 * [backup-simplify]: Simplify 0 into 0
5.117 * [taylor]: Taking taylor expansion of 0 in lambda2
5.117 * [backup-simplify]: Simplify 0 into 0
5.117 * [taylor]: Taking taylor expansion of 0 in R
5.117 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
5.120 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
5.120 * [taylor]: Taking taylor expansion of 0 in lambda1
5.120 * [backup-simplify]: Simplify 0 into 0
5.120 * [taylor]: Taking taylor expansion of 0 in lambda2
5.120 * [backup-simplify]: Simplify 0 into 0
5.120 * [taylor]: Taking taylor expansion of 0 in R
5.120 * [backup-simplify]: Simplify 0 into 0
5.122 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
5.123 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
5.123 * [taylor]: Taking taylor expansion of 0 in lambda2
5.124 * [backup-simplify]: Simplify 0 into 0
5.124 * [taylor]: Taking taylor expansion of 0 in R
5.124 * [backup-simplify]: Simplify 0 into 0
5.125 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)))) into 0
5.130 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R))) into 0
5.131 * [taylor]: Taking taylor expansion of 0 in R
5.131 * [backup-simplify]: Simplify 0 into 0
5.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)))) into 0
5.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))))) into 0
5.135 * [backup-simplify]: Simplify 0 into 0
5.136 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
5.138 * [taylor]: Taking taylor expansion of 0 in phi2
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [taylor]: Taking taylor expansion of 0 in lambda1
5.138 * [backup-simplify]: Simplify 0 into 0
5.138 * [taylor]: Taking taylor expansion of 0 in lambda2
5.138 * [backup-simplify]: Simplify 0 into 0
5.139 * [taylor]: Taking taylor expansion of 0 in R
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [taylor]: Taking taylor expansion of 0 in lambda1
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [taylor]: Taking taylor expansion of 0 in lambda2
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [taylor]: Taking taylor expansion of 0 in R
5.139 * [backup-simplify]: Simplify 0 into 0
5.140 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.142 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
5.142 * [taylor]: Taking taylor expansion of 0 in lambda1
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in lambda2
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in R
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in lambda2
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in R
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in lambda2
5.143 * [backup-simplify]: Simplify 0 into 0
5.143 * [taylor]: Taking taylor expansion of 0 in R
5.143 * [backup-simplify]: Simplify 0 into 0
5.144 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
5.146 * [taylor]: Taking taylor expansion of 0 in lambda2
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [taylor]: Taking taylor expansion of 0 in R
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [taylor]: Taking taylor expansion of 0 in R
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [taylor]: Taking taylor expansion of 0 in R
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [taylor]: Taking taylor expansion of 0 in R
5.147 * [backup-simplify]: Simplify 0 into 0
5.148 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0
5.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)))) into 0
5.150 * [taylor]: Taking taylor expansion of 0 in R
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))))) into 0
5.153 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
5.154 * * * [progress]: simplifying candidates
5.155 * [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 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log 1)
  (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (exp (/ PI 2)))
  (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (log (exp (* (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 (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (log (exp 1))
  (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (exp (* (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)))))))))
  (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp 1)
  (exp (/ PI 2))
  (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (cbrt (exp (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))))))) (exp (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))))))))
  (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R))
  (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R))
  (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)))
  (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))
  (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R))
  (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R)))
  (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R))
  (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1)
  (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)
  (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) R)
  (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (log (exp 1)) R)
  (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R)
  (* (log (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 lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
5.156 * [simplify]: Sending expressions to egg_math:
 (/ h0 2)
 (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))
 (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (log (* (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))))
 (log (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (log (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (log (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (log 1)
 (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (log (exp (/ h0 2)))
 (log (exp (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (log (exp (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))))
 (log (exp (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (log (exp 1))
 (log (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (exp (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (* (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))))
 (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (* (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (exp (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (exp (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (exp 1)
 (exp (/ h0 2))
 (exp (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))
 (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (exp (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (* (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))
 (cbrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (* (* (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (sqrt (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))
 (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)
 (+ (log (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (log h5))
 (log (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))
 (exp (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))
 (* (* (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (* (* h5 h5) h5))
 (* (cbrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (cbrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)))
 (cbrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))
 (* (* (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)) (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))
 (sqrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))
 (sqrt (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5))
 (* (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt h5))
 (* (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) (sqrt h5))
 (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (* (cbrt h5) (cbrt h5)))
 (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) (sqrt h5))
 (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) 1)
 (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)
 (* (log (exp (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))))) h5)
 (* (log (exp (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5)
 (* (log (exp 1)) h5)
 (* (cbrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5)
 (* (sqrt (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1))))))))) h5)
 (* (log (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (sin h2) (sin h1)))))))) h5)
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3)))))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3)))))
 (exp (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1))))))))
 (exp (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1))))))))
 (exp (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))))
 (* (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1))))))) h5)
 (* (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1))))))) h5)
 (* (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3))))) h5)
6.628 * * * [progress]: adding candidates to table
7.066 * * [progress]: iteration 4 / 4
7.066 * * * [progress]: picking best candidate
7.199 * * * * [pick]: Picked  #<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))>
7.199 * * * [progress]: localizing error
7.282 * * * [progress]: generating rewritten candidates
7.282 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
7.284 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2 2)
7.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 2 2)
7.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 2 1)
7.289 * * * [progress]: generating series expansions
7.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.290 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.290 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
7.290 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
7.291 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.291 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
7.291 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.291 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
7.291 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.291 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
7.292 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.292 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
7.292 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.292 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
7.293 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.293 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
7.293 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.293 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
7.294 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.294 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.294 * [taylor]: Taking taylor expansion of 0 in phi2
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [taylor]: Taking taylor expansion of 0 in lambda1
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [taylor]: Taking taylor expansion of 0 in lambda2
7.294 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda1
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda2
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda2
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in phi2
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda1
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda2
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda1
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [taylor]: Taking taylor expansion of 0 in lambda2
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.296 * [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)) (* (cbrt (sin (/ 1 lambda2))) (cbrt (sin (/ 1 lambda2))))) (cbrt (sin (/ 1 lambda2)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.296 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
7.296 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
7.297 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.297 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
7.297 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.297 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
7.298 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.298 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
7.298 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.298 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
7.299 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.299 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
7.299 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.299 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
7.300 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.300 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
7.300 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.301 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))
7.301 * [taylor]: Taking taylor expansion of 0 in phi2
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [taylor]: Taking taylor expansion of 0 in lambda1
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [taylor]: Taking taylor expansion of 0 in lambda2
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [taylor]: Taking taylor expansion of 0 in lambda1
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [taylor]: Taking taylor expansion of 0 in lambda2
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [taylor]: Taking taylor expansion of 0 in lambda2
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [taylor]: Taking taylor expansion of 0 in phi2
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [taylor]: Taking taylor expansion of 0 in lambda1
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [taylor]: Taking taylor expansion of 0 in lambda2
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [taylor]: Taking taylor expansion of 0 in lambda1
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [taylor]: Taking taylor expansion of 0 in lambda2
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 phi1))) (cos (/ 1 (/ 1 lambda1)))))) (+ (* (sin (/ 1 (/ 1 phi1))) (sin (/ 1 (/ 1 phi2)))) (* (sin (/ 1 (/ 1 lambda1))) (* (sin (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 phi2))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
7.303 * [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))) (* (cbrt (sin (/ 1 (- lambda2)))) (cbrt (sin (/ 1 (- lambda2)))))) (cbrt (sin (/ 1 (- lambda2))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.303 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
7.303 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
7.304 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.304 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
7.304 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.304 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
7.305 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.305 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
7.306 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.306 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
7.306 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.306 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
7.307 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.307 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
7.307 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.307 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
7.308 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.308 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))
7.309 * [taylor]: Taking taylor expansion of 0 in phi2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda1
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda1
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in phi2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda1
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda1
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in lambda2
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))) (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2)))))))) into (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
7.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2 2)
7.310 * [backup-simplify]: Simplify (cbrt (sin lambda2)) into (pow (sin lambda2) 1/3)
7.310 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0
7.310 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2
7.310 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2
7.310 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2
7.310 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.310 * [backup-simplify]: Simplify 1/3 into 1/3
7.310 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2
7.310 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
7.310 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.310 * [backup-simplify]: Simplify 0 into 0
7.310 * [backup-simplify]: Simplify 1 into 1
7.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.311 * [backup-simplify]: Simplify (log 1) into 0
7.312 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.312 * [backup-simplify]: Simplify (* 1/3 (log lambda2)) into (* 1/3 (log lambda2))
7.312 * [backup-simplify]: Simplify (exp (* 1/3 (log lambda2))) into (pow lambda2 1/3)
7.312 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2
7.312 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2
7.312 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2
7.312 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.312 * [backup-simplify]: Simplify 1/3 into 1/3
7.312 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2
7.312 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
7.312 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 1 into 1
7.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.313 * [backup-simplify]: Simplify (log 1) into 0
7.313 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.313 * [backup-simplify]: Simplify (* 1/3 (log lambda2)) into (* 1/3 (log lambda2))
7.313 * [backup-simplify]: Simplify (exp (* 1/3 (log lambda2))) into (pow lambda2 1/3)
7.314 * [backup-simplify]: Simplify (pow lambda2 1/3) into (pow lambda2 1/3)
7.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.317 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.317 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log lambda2))) into 0
7.318 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
7.318 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
7.324 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.325 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log lambda2)))) into (- 1/18)
7.327 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow lambda2 1/3))
7.327 * [backup-simplify]: Simplify (* -1/18 (pow lambda2 1/3)) into (* -1/18 (pow lambda2 1/3))
7.329 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.335 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
7.336 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.337 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log lambda2))))) into 0
7.340 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.340 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.353 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
7.353 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.354 * [backup-simplify]: Simplify (+ (* 1/3 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log lambda2)))))) into (- 1/540)
7.357 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/18) 2) 2)) (* (/ (pow (- 1/540) 1) 1)))) into (* -1/3240 (pow lambda2 1/3))
7.357 * [backup-simplify]: Simplify (* -1/3240 (pow lambda2 1/3)) into (* -1/3240 (pow lambda2 1/3))
7.358 * [backup-simplify]: Simplify (+ (* (* -1/3240 (pow lambda2 1/3)) (pow lambda2 4)) (+ (* (* -1/18 (pow lambda2 1/3)) (pow lambda2 2)) (pow lambda2 1/3))) into (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3))))
7.358 * [backup-simplify]: Simplify (cbrt (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 1/3)
7.358 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0
7.358 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2
7.358 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2
7.358 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2
7.358 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.358 * [backup-simplify]: Simplify 1/3 into 1/3
7.358 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2
7.358 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
7.358 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
7.358 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 1 into 1
7.358 * [backup-simplify]: Simplify (/ 1 1) into 1
7.358 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
7.358 * [backup-simplify]: Simplify (log (sin (/ 1 lambda2))) into (log (sin (/ 1 lambda2)))
7.358 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 lambda2)))) into (* 1/3 (log (sin (/ 1 lambda2))))
7.359 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 lambda2))))) into (pow (sin (/ 1 lambda2)) 1/3)
7.359 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2
7.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2
7.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2
7.359 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.359 * [backup-simplify]: Simplify 1/3 into 1/3
7.359 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2
7.359 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
7.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
7.359 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (/ 1 1) into 1
7.359 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
7.359 * [backup-simplify]: Simplify (log (sin (/ 1 lambda2))) into (log (sin (/ 1 lambda2)))
7.359 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 lambda2)))) into (* 1/3 (log (sin (/ 1 lambda2))))
7.359 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 lambda2))))) into (pow (sin (/ 1 lambda2)) 1/3)
7.359 * [backup-simplify]: Simplify (pow (sin (/ 1 lambda2)) 1/3) into (pow (sin (/ 1 lambda2)) 1/3)
7.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 1) into 0
7.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ 1 lambda2))))) into 0
7.361 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.361 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 2) into 0
7.363 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))) into 0
7.364 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.364 * [backup-simplify]: Simplify 0 into 0
7.366 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 lambda2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 6) into 0
7.366 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2))))))) into 0
7.367 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.367 * [backup-simplify]: Simplify 0 into 0
7.371 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 lambda2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 24) into 0
7.372 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))))) into 0
7.378 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.378 * [backup-simplify]: Simplify 0 into 0
7.383 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 lambda2)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 120) into 0
7.384 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2))))))))) into 0
7.387 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.387 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 lambda2)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 lambda2)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 720) into 0
7.399 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))))))) into 0
7.404 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.405 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 lambda2))) 1/3) into (pow (sin lambda2) 1/3)
7.405 * [backup-simplify]: Simplify (cbrt (sin (/ 1 (- lambda2)))) into (pow (sin (/ -1 lambda2)) 1/3)
7.405 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0
7.405 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2
7.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2
7.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2
7.405 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.405 * [backup-simplify]: Simplify 1/3 into 1/3
7.405 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2
7.405 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
7.405 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
7.405 * [taylor]: Taking taylor expansion of -1 in lambda2
7.405 * [backup-simplify]: Simplify -1 into -1
7.405 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.405 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify 1 into 1
7.406 * [backup-simplify]: Simplify (/ -1 1) into -1
7.406 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
7.406 * [backup-simplify]: Simplify (log (sin (/ -1 lambda2))) into (log (sin (/ -1 lambda2)))
7.406 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 lambda2)))) into (* 1/3 (log (sin (/ -1 lambda2))))
7.406 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 lambda2))))) into (pow (sin (/ -1 lambda2)) 1/3)
7.407 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2
7.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2
7.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2
7.407 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.407 * [backup-simplify]: Simplify 1/3 into 1/3
7.407 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2
7.407 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
7.407 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
7.407 * [taylor]: Taking taylor expansion of -1 in lambda2
7.407 * [backup-simplify]: Simplify -1 into -1
7.407 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.407 * [backup-simplify]: Simplify 0 into 0
7.407 * [backup-simplify]: Simplify 1 into 1
7.407 * [backup-simplify]: Simplify (/ -1 1) into -1
7.407 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
7.408 * [backup-simplify]: Simplify (log (sin (/ -1 lambda2))) into (log (sin (/ -1 lambda2)))
7.408 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 lambda2)))) into (* 1/3 (log (sin (/ -1 lambda2))))
7.408 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 lambda2))))) into (pow (sin (/ -1 lambda2)) 1/3)
7.408 * [backup-simplify]: Simplify (pow (sin (/ -1 lambda2)) 1/3) into (pow (sin (/ -1 lambda2)) 1/3)
7.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 1) into 0
7.410 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ -1 lambda2))))) into 0
7.411 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.411 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 2) into 0
7.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))) into 0
7.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.415 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 lambda2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 6) into 0
7.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2))))))) into 0
7.421 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.422 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 lambda2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 24) into 0
7.429 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))))) into 0
7.431 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.431 * [backup-simplify]: Simplify 0 into 0
7.440 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 lambda2)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 120) into 0
7.442 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2))))))))) into 0
7.446 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.446 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 lambda2)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 lambda2)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 720) into 0
7.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))))))) into 0
7.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.469 * [backup-simplify]: Simplify 0 into 0
7.469 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- lambda2)))) 1/3) into (pow (sin lambda2) 1/3)
7.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 2 2)
7.470 * [backup-simplify]: Simplify (cbrt (sin lambda2)) into (pow (sin lambda2) 1/3)
7.470 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0
7.470 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2
7.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2
7.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2
7.470 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.470 * [backup-simplify]: Simplify 1/3 into 1/3
7.470 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2
7.470 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
7.470 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.471 * [backup-simplify]: Simplify (log 1) into 0
7.472 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.472 * [backup-simplify]: Simplify (* 1/3 (log lambda2)) into (* 1/3 (log lambda2))
7.472 * [backup-simplify]: Simplify (exp (* 1/3 (log lambda2))) into (pow lambda2 1/3)
7.472 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2
7.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2
7.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2
7.472 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.472 * [backup-simplify]: Simplify 1/3 into 1/3
7.472 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2
7.472 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
7.472 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.472 * [backup-simplify]: Simplify 0 into 0
7.472 * [backup-simplify]: Simplify 1 into 1
7.473 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.473 * [backup-simplify]: Simplify (log 1) into 0
7.474 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.474 * [backup-simplify]: Simplify (* 1/3 (log lambda2)) into (* 1/3 (log lambda2))
7.474 * [backup-simplify]: Simplify (exp (* 1/3 (log lambda2))) into (pow lambda2 1/3)
7.474 * [backup-simplify]: Simplify (pow lambda2 1/3) into (pow lambda2 1/3)
7.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.476 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.477 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log lambda2))) into 0
7.478 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
7.478 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
7.483 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.484 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log lambda2)))) into (- 1/18)
7.485 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow lambda2 1/3))
7.486 * [backup-simplify]: Simplify (* -1/18 (pow lambda2 1/3)) into (* -1/18 (pow lambda2 1/3))
7.487 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.493 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
7.494 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log lambda2))))) into 0
7.497 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.498 * [backup-simplify]: Simplify 0 into 0
7.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.514 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
7.515 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.517 * [backup-simplify]: Simplify (+ (* 1/3 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log lambda2)))))) into (- 1/540)
7.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/18) 2) 2)) (* (/ (pow (- 1/540) 1) 1)))) into (* -1/3240 (pow lambda2 1/3))
7.529 * [backup-simplify]: Simplify (* -1/3240 (pow lambda2 1/3)) into (* -1/3240 (pow lambda2 1/3))
7.530 * [backup-simplify]: Simplify (+ (* (* -1/3240 (pow lambda2 1/3)) (pow lambda2 4)) (+ (* (* -1/18 (pow lambda2 1/3)) (pow lambda2 2)) (pow lambda2 1/3))) into (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3))))
7.530 * [backup-simplify]: Simplify (cbrt (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 1/3)
7.531 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0
7.531 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2
7.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2
7.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2
7.531 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.531 * [backup-simplify]: Simplify 1/3 into 1/3
7.531 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2
7.531 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
7.531 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
7.531 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.531 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify 1 into 1
7.532 * [backup-simplify]: Simplify (/ 1 1) into 1
7.532 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
7.532 * [backup-simplify]: Simplify (log (sin (/ 1 lambda2))) into (log (sin (/ 1 lambda2)))
7.532 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 lambda2)))) into (* 1/3 (log (sin (/ 1 lambda2))))
7.532 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 lambda2))))) into (pow (sin (/ 1 lambda2)) 1/3)
7.532 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2
7.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2
7.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2
7.532 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.532 * [backup-simplify]: Simplify 1/3 into 1/3
7.532 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2
7.532 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
7.532 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
7.532 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 1 into 1
7.533 * [backup-simplify]: Simplify (/ 1 1) into 1
7.533 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
7.533 * [backup-simplify]: Simplify (log (sin (/ 1 lambda2))) into (log (sin (/ 1 lambda2)))
7.533 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 lambda2)))) into (* 1/3 (log (sin (/ 1 lambda2))))
7.533 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 lambda2))))) into (pow (sin (/ 1 lambda2)) 1/3)
7.534 * [backup-simplify]: Simplify (pow (sin (/ 1 lambda2)) 1/3) into (pow (sin (/ 1 lambda2)) 1/3)
7.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 1) into 0
7.535 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ 1 lambda2))))) into 0
7.536 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.536 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 2) into 0
7.539 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))) into 0
7.541 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.541 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 lambda2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 6) into 0
7.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2))))))) into 0
7.547 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.547 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 lambda2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 24) into 0
7.554 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))))) into 0
7.556 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.557 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 lambda2)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 120) into 0
7.567 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2))))))))) into 0
7.571 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 lambda2)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 lambda2)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 720) into 0
7.588 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))))))) into 0
7.594 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.594 * [backup-simplify]: Simplify 0 into 0
7.594 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 lambda2))) 1/3) into (pow (sin lambda2) 1/3)
7.594 * [backup-simplify]: Simplify (cbrt (sin (/ 1 (- lambda2)))) into (pow (sin (/ -1 lambda2)) 1/3)
7.594 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0
7.595 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2
7.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2
7.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2
7.595 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.595 * [backup-simplify]: Simplify 1/3 into 1/3
7.595 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2
7.595 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
7.595 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
7.595 * [taylor]: Taking taylor expansion of -1 in lambda2
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.595 * [backup-simplify]: Simplify 0 into 0
7.595 * [backup-simplify]: Simplify 1 into 1
7.595 * [backup-simplify]: Simplify (/ -1 1) into -1
7.595 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
7.596 * [backup-simplify]: Simplify (log (sin (/ -1 lambda2))) into (log (sin (/ -1 lambda2)))
7.596 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 lambda2)))) into (* 1/3 (log (sin (/ -1 lambda2))))
7.596 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 lambda2))))) into (pow (sin (/ -1 lambda2)) 1/3)
7.596 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2
7.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2
7.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2
7.596 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.596 * [backup-simplify]: Simplify 1/3 into 1/3
7.596 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2
7.596 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
7.596 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
7.596 * [taylor]: Taking taylor expansion of -1 in lambda2
7.596 * [backup-simplify]: Simplify -1 into -1
7.596 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 1 into 1
7.597 * [backup-simplify]: Simplify (/ -1 1) into -1
7.597 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
7.597 * [backup-simplify]: Simplify (log (sin (/ -1 lambda2))) into (log (sin (/ -1 lambda2)))
7.597 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 lambda2)))) into (* 1/3 (log (sin (/ -1 lambda2))))
7.597 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 lambda2))))) into (pow (sin (/ -1 lambda2)) 1/3)
7.597 * [backup-simplify]: Simplify (pow (sin (/ -1 lambda2)) 1/3) into (pow (sin (/ -1 lambda2)) 1/3)
7.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 1) into 0
7.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ -1 lambda2))))) into 0
7.599 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.599 * [backup-simplify]: Simplify 0 into 0
7.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 2) into 0
7.600 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))) into 0
7.601 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.601 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 lambda2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 6) into 0
7.604 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2))))))) into 0
7.605 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.605 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 lambda2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 24) into 0
7.609 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))))) into 0
7.610 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.610 * [backup-simplify]: Simplify 0 into 0
7.615 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 lambda2)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 120) into 0
7.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2))))))))) into 0
7.618 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.618 * [backup-simplify]: Simplify 0 into 0
7.626 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 lambda2)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 lambda2)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 720) into 0
7.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))))))) into 0
7.631 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- lambda2)))) 1/3) into (pow (sin lambda2) 1/3)
7.631 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 2 1)
7.631 * [backup-simplify]: Simplify (cbrt (sin lambda2)) into (pow (sin lambda2) 1/3)
7.631 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0
7.631 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2
7.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2
7.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2
7.631 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.631 * [backup-simplify]: Simplify 1/3 into 1/3
7.631 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2
7.631 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
7.631 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.631 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.632 * [backup-simplify]: Simplify (log 1) into 0
7.632 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.632 * [backup-simplify]: Simplify (* 1/3 (log lambda2)) into (* 1/3 (log lambda2))
7.632 * [backup-simplify]: Simplify (exp (* 1/3 (log lambda2))) into (pow lambda2 1/3)
7.632 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2
7.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2
7.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2
7.632 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.632 * [backup-simplify]: Simplify 1/3 into 1/3
7.632 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2
7.632 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
7.632 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [backup-simplify]: Simplify 1 into 1
7.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1
7.633 * [backup-simplify]: Simplify (log 1) into 0
7.633 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.634 * [backup-simplify]: Simplify (* 1/3 (log lambda2)) into (* 1/3 (log lambda2))
7.634 * [backup-simplify]: Simplify (exp (* 1/3 (log lambda2))) into (pow lambda2 1/3)
7.634 * [backup-simplify]: Simplify (pow lambda2 1/3) into (pow lambda2 1/3)
7.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.635 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.636 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log lambda2))) into 0
7.636 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0
7.636 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6
7.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/6) 1)) (pow 1 1)))) 2) into -1/6
7.639 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.640 * [backup-simplify]: Simplify (+ (* 1/3 -1/6) (+ (* 0 0) (* 0 (log lambda2)))) into (- 1/18)
7.641 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -1/18 (pow lambda2 1/3))
7.641 * [backup-simplify]: Simplify (* -1/18 (pow lambda2 1/3)) into (* -1/18 (pow lambda2 1/3))
7.642 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.645 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
7.649 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.650 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log lambda2))))) into 0
7.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.652 * [backup-simplify]: Simplify 0 into 0
7.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120
7.660 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/6) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/6) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/120) 1)) (pow 1 1)))) 24) into -1/180
7.661 * [backup-simplify]: Simplify (+ (* (- -1) (log lambda2)) 0) into (log lambda2)
7.662 * [backup-simplify]: Simplify (+ (* 1/3 -1/180) (+ (* 0 0) (+ (* 0 -1/6) (+ (* 0 0) (* 0 (log lambda2)))))) into (- 1/540)
7.664 * [backup-simplify]: Simplify (* (exp (* 1/3 (log lambda2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/18) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/18) 2) 2)) (* (/ (pow (- 1/540) 1) 1)))) into (* -1/3240 (pow lambda2 1/3))
7.665 * [backup-simplify]: Simplify (* -1/3240 (pow lambda2 1/3)) into (* -1/3240 (pow lambda2 1/3))
7.665 * [backup-simplify]: Simplify (+ (* (* -1/3240 (pow lambda2 1/3)) (pow lambda2 4)) (+ (* (* -1/18 (pow lambda2 1/3)) (pow lambda2 2)) (pow lambda2 1/3))) into (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3))))
7.665 * [backup-simplify]: Simplify (cbrt (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 1/3)
7.665 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0
7.665 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2
7.665 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2
7.665 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2
7.665 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.665 * [backup-simplify]: Simplify 1/3 into 1/3
7.665 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2
7.665 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
7.665 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
7.665 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.666 * [backup-simplify]: Simplify (/ 1 1) into 1
7.666 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
7.666 * [backup-simplify]: Simplify (log (sin (/ 1 lambda2))) into (log (sin (/ 1 lambda2)))
7.666 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 lambda2)))) into (* 1/3 (log (sin (/ 1 lambda2))))
7.666 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 lambda2))))) into (pow (sin (/ 1 lambda2)) 1/3)
7.666 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2
7.666 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2
7.666 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2
7.666 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.666 * [backup-simplify]: Simplify 1/3 into 1/3
7.666 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2
7.666 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
7.666 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
7.666 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.666 * [backup-simplify]: Simplify (/ 1 1) into 1
7.666 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2))
7.666 * [backup-simplify]: Simplify (log (sin (/ 1 lambda2))) into (log (sin (/ 1 lambda2)))
7.667 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ 1 lambda2)))) into (* 1/3 (log (sin (/ 1 lambda2))))
7.667 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ 1 lambda2))))) into (pow (sin (/ 1 lambda2)) 1/3)
7.667 * [backup-simplify]: Simplify (pow (sin (/ 1 lambda2)) 1/3) into (pow (sin (/ 1 lambda2)) 1/3)
7.667 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 1) into 0
7.668 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ 1 lambda2))))) into 0
7.668 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.668 * [backup-simplify]: Simplify 0 into 0
7.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 2) into 0
7.670 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))) into 0
7.671 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.671 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ 1 lambda2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 6) into 0
7.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2))))))) into 0
7.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.676 * [backup-simplify]: Simplify 0 into 0
7.681 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ 1 lambda2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 24) into 0
7.683 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))))) into 0
7.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.686 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ 1 lambda2)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 120) into 0
7.697 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2))))))))) into 0
7.701 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.701 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ 1 lambda2)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ 1 lambda2)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ 1 lambda2)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ 1 lambda2)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ 1 lambda2)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ 1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ 1 lambda2)) 1)))) 720) into 0
7.711 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ 1 lambda2)))))))))) into 0
7.714 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ 1 lambda2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.714 * [backup-simplify]: Simplify 0 into 0
7.714 * [backup-simplify]: Simplify (pow (sin (/ 1 (/ 1 lambda2))) 1/3) into (pow (sin lambda2) 1/3)
7.715 * [backup-simplify]: Simplify (cbrt (sin (/ 1 (- lambda2)))) into (pow (sin (/ -1 lambda2)) 1/3)
7.715 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0
7.715 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2
7.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2
7.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2
7.715 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.715 * [backup-simplify]: Simplify 1/3 into 1/3
7.715 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2
7.715 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
7.715 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
7.715 * [taylor]: Taking taylor expansion of -1 in lambda2
7.715 * [backup-simplify]: Simplify -1 into -1
7.715 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.715 * [backup-simplify]: Simplify (/ -1 1) into -1
7.715 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
7.715 * [backup-simplify]: Simplify (log (sin (/ -1 lambda2))) into (log (sin (/ -1 lambda2)))
7.715 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 lambda2)))) into (* 1/3 (log (sin (/ -1 lambda2))))
7.715 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 lambda2))))) into (pow (sin (/ -1 lambda2)) 1/3)
7.715 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2
7.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2
7.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2
7.715 * [taylor]: Taking taylor expansion of 1/3 in lambda2
7.715 * [backup-simplify]: Simplify 1/3 into 1/3
7.715 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2
7.716 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
7.716 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
7.716 * [taylor]: Taking taylor expansion of -1 in lambda2
7.716 * [backup-simplify]: Simplify -1 into -1
7.716 * [taylor]: Taking taylor expansion of lambda2 in lambda2
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify 1 into 1
7.716 * [backup-simplify]: Simplify (/ -1 1) into -1
7.716 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2))
7.716 * [backup-simplify]: Simplify (log (sin (/ -1 lambda2))) into (log (sin (/ -1 lambda2)))
7.716 * [backup-simplify]: Simplify (* 1/3 (log (sin (/ -1 lambda2)))) into (* 1/3 (log (sin (/ -1 lambda2))))
7.716 * [backup-simplify]: Simplify (exp (* 1/3 (log (sin (/ -1 lambda2))))) into (pow (sin (/ -1 lambda2)) 1/3)
7.716 * [backup-simplify]: Simplify (pow (sin (/ -1 lambda2)) 1/3) into (pow (sin (/ -1 lambda2)) 1/3)
7.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 1) into 0
7.717 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sin (/ -1 lambda2))))) into 0
7.718 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.718 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 2) into 0
7.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))) into 0
7.720 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.721 * [backup-simplify]: Simplify 0 into 0
7.722 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sin (/ -1 lambda2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 6) into 0
7.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2))))))) into 0
7.724 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.724 * [backup-simplify]: Simplify 0 into 0
7.728 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sin (/ -1 lambda2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 24) into 0
7.729 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))))) into 0
7.731 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.731 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sin (/ -1 lambda2)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 120) into 0
7.737 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2))))))))) into 0
7.741 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.741 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sin (/ -1 lambda2)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sin (/ -1 lambda2)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sin (/ -1 lambda2)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sin (/ -1 lambda2)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sin (/ -1 lambda2)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sin (/ -1 lambda2)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sin (/ -1 lambda2)) 1)))) 720) into 0
7.757 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sin (/ -1 lambda2)))))))))) into 0
7.765 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sin (/ -1 lambda2))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify (pow (sin (/ -1 (/ 1 (- lambda2)))) 1/3) into (pow (sin lambda2) 1/3)
7.766 * * * [progress]: simplifying candidates
7.766 * [simplify]: Simplifying:
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))
  (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))
  (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))
  (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))))
  (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))
  (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))
  (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))
  (log (cbrt (sin lambda2)))
  (exp (cbrt (sin lambda2)))
  (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (cbrt (cbrt (sin lambda2)))
  (cbrt (sqrt (sin lambda2)))
  (cbrt (sqrt (sin lambda2)))
  (cbrt 1)
  (cbrt (sin lambda2))
  (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2))))
  (cbrt (cbrt (sin lambda2)))
  (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2)))
  (sqrt (cbrt (sin lambda2)))
  (sqrt (cbrt (sin lambda2)))
  (log (cbrt (sin lambda2)))
  (exp (cbrt (sin lambda2)))
  (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (cbrt (cbrt (sin lambda2)))
  (cbrt (sqrt (sin lambda2)))
  (cbrt (sqrt (sin lambda2)))
  (cbrt 1)
  (cbrt (sin lambda2))
  (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2))))
  (cbrt (cbrt (sin lambda2)))
  (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2)))
  (sqrt (cbrt (sin lambda2)))
  (sqrt (cbrt (sin lambda2)))
  (log (cbrt (sin lambda2)))
  (exp (cbrt (sin lambda2)))
  (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2))))
  (cbrt (cbrt (sin lambda2)))
  (cbrt (sqrt (sin lambda2)))
  (cbrt (sqrt (sin lambda2)))
  (cbrt 1)
  (cbrt (sin lambda2))
  (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2))))
  (cbrt (cbrt (sin lambda2)))
  (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2)))
  (sqrt (cbrt (sin lambda2)))
  (sqrt (cbrt (sin lambda2)))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3))))
  (pow (sin lambda2) 1/3)
  (pow (sin lambda2) 1/3)
  (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3))))
  (pow (sin lambda2) 1/3)
  (pow (sin lambda2) 1/3)
  (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3))))
  (pow (sin lambda2) 1/3)
  (pow (sin lambda2) 1/3)
7.767 * [simplify]: Sending expressions to egg_math:
 (/ h0 2)
 (asin (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1)))))))
 (log (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))))
 (exp (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))))
 (* (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1)))))))) (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1)))))))))
 (cbrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))))
 (* (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1)))))))) (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))))
 (sqrt (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))))
 (log (cbrt (sin h1)))
 (exp (cbrt (sin h1)))
 (cbrt (* (cbrt (sin h1)) (cbrt (sin h1))))
 (cbrt (cbrt (sin h1)))
 (cbrt (sqrt (sin h1)))
 (cbrt (sqrt (sin h1)))
 (cbrt 1)
 (cbrt (sin h1))
 (* (cbrt (cbrt (sin h1))) (cbrt (cbrt (sin h1))))
 (cbrt (cbrt (sin h1)))
 (* (* (cbrt (sin h1)) (cbrt (sin h1))) (cbrt (sin h1)))
 (sqrt (cbrt (sin h1)))
 (sqrt (cbrt (sin h1)))
 (log (cbrt (sin h1)))
 (exp (cbrt (sin h1)))
 (cbrt (* (cbrt (sin h1)) (cbrt (sin h1))))
 (cbrt (cbrt (sin h1)))
 (cbrt (sqrt (sin h1)))
 (cbrt (sqrt (sin h1)))
 (cbrt 1)
 (cbrt (sin h1))
 (* (cbrt (cbrt (sin h1))) (cbrt (cbrt (sin h1))))
 (cbrt (cbrt (sin h1)))
 (* (* (cbrt (sin h1)) (cbrt (sin h1))) (cbrt (sin h1)))
 (sqrt (cbrt (sin h1)))
 (sqrt (cbrt (sin h1)))
 (log (cbrt (sin h1)))
 (exp (cbrt (sin h1)))
 (cbrt (* (cbrt (sin h1)) (cbrt (sin h1))))
 (cbrt (cbrt (sin h1)))
 (cbrt (sqrt (sin h1)))
 (cbrt (sqrt (sin h1)))
 (cbrt 1)
 (cbrt (sin h1))
 (* (cbrt (cbrt (sin h1))) (cbrt (cbrt (sin h1))))
 (cbrt (cbrt (sin h1)))
 (* (* (cbrt (sin h1)) (cbrt (sin h1))) (cbrt (sin h1)))
 (sqrt (cbrt (sin h1)))
 (sqrt (cbrt (sin h1)))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h4) (sin h3)) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))))))
 (acos (+ (* (sin h2) (* (cos h4) (* (cos h3) (sin h1)))) (+ (* (cos h2) (* (cos h4) (* (cos h3) (cos h1)))) (* (sin h4) (sin h3)))))
 (- (pow h1 (/ 1 3)) (+ (* (/ 1 18) (pow (pow h1 7) (/ 1 3))) (* (/ 1 3240) (pow (pow h1 13) (/ 1 3)))))
 (pow (sin h1) (/ 1 3))
 (pow (sin h1) (/ 1 3))
 (- (pow h1 (/ 1 3)) (+ (* (/ 1 18) (pow (pow h1 7) (/ 1 3))) (* (/ 1 3240) (pow (pow h1 13) (/ 1 3)))))
 (pow (sin h1) (/ 1 3))
 (pow (sin h1) (/ 1 3))
 (- (pow h1 (/ 1 3)) (+ (* (/ 1 18) (pow (pow h1 7) (/ 1 3))) (* (/ 1 3240) (pow (pow h1 13) (/ 1 3)))))
 (pow (sin h1) (/ 1 3))
 (pow (sin h1) (/ 1 3))
8.940 * * * [progress]: adding candidates to table
9.542 * [progress]: [Phase 3 of 3] Extracting.
9.542 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
9.567 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R)
9.567 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
9.757 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
9.903 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
10.064 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
10.274 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
10.444 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
10.582 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (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) (* (+ (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (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) (* (* (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (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) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (log (exp (cos (- lambda1 lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (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))))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (log (* (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)) (pow E (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2)))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (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) (* (sqrt (log (exp (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))))))))))>)
10.753 * * * [regime]: Found split indices: #<option (#s(si 8 255))>
10.753 * [simplify]: Simplifying:
  (* (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)
10.753 * [simplify]: Sending expressions to egg_math:
 (* (acos (+ (* (sin h4) (sin h3)) (* (* (cos h4) (cos h3)) (+ (* (cos h2) (cos h1)) (* (* (sin h2) (* (cbrt (sin h1)) (cbrt (sin h1)))) (cbrt (sin h1))))))) h0)
35.284 * [regime-testing]: Baseline error score: 3.608314523057325
35.287 * [regime-testing]: Oracle error score: 3.228957202487866
35.296 * [regime-testing]: End program error score: 3.608314523057325