0.704 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.613 * * * [progress]: [2/2] Setting up program. 0.622 * [progress]: [Phase 2 of 3] Improving. 0.624 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.625 * * [simplify]: iteration 0: 17 enodes 0.631 * * [simplify]: iteration 1: 26 enodes 0.634 * * [simplify]: iteration 2: 33 enodes 0.638 * * [simplify]: iteration 3: 36 enodes 0.642 * * [simplify]: iteration complete: 36 enodes 0.642 * * [simplify]: Extracting #0: cost 1 inf + 0 0.642 * * [simplify]: Extracting #1: cost 3 inf + 0 0.643 * * [simplify]: Extracting #2: cost 3 inf + 1 0.643 * * [simplify]: Extracting #3: cost 5 inf + 1 0.643 * * [simplify]: Extracting #4: cost 13 inf + 1 0.643 * * [simplify]: Extracting #5: cost 16 inf + 1 0.643 * * [simplify]: Extracting #6: cost 15 inf + 125 0.643 * * [simplify]: Extracting #7: cost 10 inf + 411 0.643 * * [simplify]: Extracting #8: cost 6 inf + 758 0.643 * * [simplify]: Extracting #9: cost 2 inf + 1972 0.644 * * [simplify]: Extracting #10: cost 0 inf + 3201 0.644 * [simplify]: Simplified to: (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.646 * * [progress]: iteration 1 / 4 0.646 * * * [progress]: picking best candidate 0.654 * * * * [pick]: Picked # 0.654 * * * [progress]: localizing error 0.754 * * * [progress]: generating rewritten candidates 0.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.774 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.777 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.795 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.810 * * * [progress]: generating series expansions 0.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.815 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.815 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.816 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.816 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.816 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.817 * [backup-simplify]: Simplify lambda1 into lambda1 0.817 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.818 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.818 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.818 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.818 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.818 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.818 * [backup-simplify]: Simplify lambda2 into lambda2 0.818 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.818 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.819 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.819 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.819 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.819 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.819 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.819 * [backup-simplify]: Simplify lambda2 into lambda2 0.819 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.819 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.819 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.819 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.836 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.837 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.838 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.838 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (- 1) into -1 0.839 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (+ 0) into 0 0.841 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify (+ 1 0) into 1 0.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.843 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.843 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.843 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.843 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.843 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.843 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.843 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (- 1) into -1 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (+ 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.847 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.850 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.850 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.850 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.850 * [backup-simplify]: Simplify 1/2 into 1/2 0.850 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.850 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.851 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (- 0) into 0 0.851 * [backup-simplify]: Simplify (- 1) into -1 0.852 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.852 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.852 * [backup-simplify]: Simplify -1/2 into -1/2 0.853 * [backup-simplify]: Simplify (- 1) into -1 0.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.854 * [backup-simplify]: Simplify (- -1) into 1 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.855 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.855 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.855 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.855 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.855 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.855 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.855 * [backup-simplify]: Simplify lambda1 into lambda1 0.856 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.856 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.856 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify (- 1) into -1 0.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.858 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.858 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.858 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.858 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.858 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.858 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.858 * [backup-simplify]: Simplify lambda2 into lambda2 0.858 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.859 * [backup-simplify]: Simplify (+ 1 0) into 1 0.859 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.859 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.859 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.859 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.859 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.859 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.860 * [backup-simplify]: Simplify lambda2 into lambda2 0.860 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.860 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.860 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.860 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.860 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.860 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.861 * [backup-simplify]: Simplify lambda1 into lambda1 0.861 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.861 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.861 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (/ 1 1) into 1 0.861 * [backup-simplify]: Simplify (- 1) into -1 0.862 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.862 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.862 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.862 * [taylor]: Taking taylor expansion of 0 in lambda2 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [taylor]: Taking taylor expansion of 0 in lambda2 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.863 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.863 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.863 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.863 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.863 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.863 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.864 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.864 * [backup-simplify]: Simplify lambda1 into lambda1 0.864 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.864 * [backup-simplify]: Simplify (+ 1 0) into 1 0.865 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.865 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.865 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.865 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.865 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.865 * [backup-simplify]: Simplify lambda2 into lambda2 0.865 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.865 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.865 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [backup-simplify]: Simplify (- 1) into -1 0.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.867 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.867 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.867 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.867 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.867 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.867 * [backup-simplify]: Simplify lambda2 into lambda2 0.867 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.867 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.867 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.868 * [backup-simplify]: Simplify (- 1) into -1 0.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.868 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.868 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.868 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.868 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.868 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.868 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.869 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.869 * [backup-simplify]: Simplify lambda1 into lambda1 0.869 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.869 * [backup-simplify]: Simplify (+ 1 0) into 1 0.870 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.870 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.871 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.871 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.871 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.873 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.873 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.874 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.874 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.875 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.875 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.876 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.876 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.876 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.876 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.876 * [taylor]: Taking taylor expansion of 0 in phi2 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda1 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda2 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda1 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda2 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda2 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in phi2 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda1 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda2 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda1 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [taylor]: Taking taylor expansion of 0 in lambda2 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.878 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.878 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.878 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 0.879 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.879 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 0.879 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.879 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 0.880 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 0.880 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 0.881 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.881 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 0.882 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.882 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 0.882 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.882 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 0.883 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.883 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.883 * [taylor]: Taking taylor expansion of 0 in phi2 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [taylor]: Taking taylor expansion of 0 in lambda1 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda1 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda2 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda2 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in phi2 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda1 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda2 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda1 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [taylor]: Taking taylor expansion of 0 in lambda2 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.885 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.886 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 0.886 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.886 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 0.887 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 0.887 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 0.888 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.888 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 0.888 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.888 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 0.889 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 0.890 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 0.890 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.891 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.891 * [taylor]: Taking taylor expansion of 0 in phi2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in phi2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [taylor]: Taking taylor expansion of 0 in lambda2 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.893 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.893 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.893 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.893 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.893 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.893 * [taylor]: Taking taylor expansion of phi1 in phi2 0.893 * [backup-simplify]: Simplify phi1 into phi1 0.893 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.893 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.893 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.893 * [taylor]: Taking taylor expansion of phi2 in phi2 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.893 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.893 * [taylor]: Taking taylor expansion of phi1 in phi1 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.893 * [taylor]: Taking taylor expansion of phi2 in phi1 0.893 * [backup-simplify]: Simplify phi2 into phi2 0.893 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.893 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.893 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.893 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.893 * [taylor]: Taking taylor expansion of phi1 in phi1 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.894 * [taylor]: Taking taylor expansion of phi2 in phi1 0.894 * [backup-simplify]: Simplify phi2 into phi2 0.894 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.894 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.894 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.894 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.894 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.894 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.894 * [taylor]: Taking taylor expansion of 0 in phi2 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (+ 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.896 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.897 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.897 * [taylor]: Taking taylor expansion of phi2 in phi2 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.898 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.899 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.900 * [taylor]: Taking taylor expansion of 0 in phi2 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.902 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.903 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.905 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.905 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.905 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.905 * [backup-simplify]: Simplify 1/6 into 1/6 0.905 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.905 * [taylor]: Taking taylor expansion of phi2 in phi2 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.906 * [backup-simplify]: Simplify (- 0) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.908 * [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 0.908 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.909 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.912 * [taylor]: Taking taylor expansion of 0 in phi2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 0.912 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.912 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 0.912 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 0.912 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.912 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.912 * [taylor]: Taking taylor expansion of phi2 in phi2 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.912 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.912 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.912 * [taylor]: Taking taylor expansion of phi1 in phi2 0.912 * [backup-simplify]: Simplify phi1 into phi1 0.912 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.912 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.912 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.912 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 0.912 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.912 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.912 * [taylor]: Taking taylor expansion of phi2 in phi1 0.913 * [backup-simplify]: Simplify phi2 into phi2 0.913 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.913 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.913 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.913 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.913 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.913 * [taylor]: Taking taylor expansion of phi1 in phi1 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [backup-simplify]: Simplify (/ 1 1) into 1 0.913 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.913 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 0.913 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.913 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.913 * [taylor]: Taking taylor expansion of phi2 in phi1 0.913 * [backup-simplify]: Simplify phi2 into phi2 0.913 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.913 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.913 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.913 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.913 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.913 * [taylor]: Taking taylor expansion of phi1 in phi1 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.914 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.914 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.914 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.914 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.914 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 0.914 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.914 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.914 * [taylor]: Taking taylor expansion of phi2 in phi2 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.914 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.914 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.914 * [taylor]: Taking taylor expansion of phi1 in phi2 0.914 * [backup-simplify]: Simplify phi1 into phi1 0.914 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.914 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.915 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.915 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.915 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.915 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.915 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.915 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.915 * [backup-simplify]: Simplify (+ 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 0.917 * [taylor]: Taking taylor expansion of 0 in phi2 0.917 * [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 (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.919 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.920 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 0.921 * [taylor]: Taking taylor expansion of 0 in phi2 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.922 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 0.928 * [taylor]: Taking taylor expansion of 0 in phi2 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 0.929 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.929 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.929 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.929 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.929 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.929 * [taylor]: Taking taylor expansion of -1 in phi2 0.929 * [backup-simplify]: Simplify -1 into -1 0.929 * [taylor]: Taking taylor expansion of phi1 in phi2 0.929 * [backup-simplify]: Simplify phi1 into phi1 0.929 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.929 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.929 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.929 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.929 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.929 * [taylor]: Taking taylor expansion of -1 in phi2 0.929 * [backup-simplify]: Simplify -1 into -1 0.929 * [taylor]: Taking taylor expansion of phi2 in phi2 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ -1 1) into -1 0.930 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.930 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.930 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.930 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.930 * [taylor]: Taking taylor expansion of -1 in phi1 0.930 * [backup-simplify]: Simplify -1 into -1 0.930 * [taylor]: Taking taylor expansion of phi1 in phi1 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (/ -1 1) into -1 0.931 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.931 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.931 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.931 * [taylor]: Taking taylor expansion of -1 in phi1 0.931 * [backup-simplify]: Simplify -1 into -1 0.931 * [taylor]: Taking taylor expansion of phi2 in phi1 0.931 * [backup-simplify]: Simplify phi2 into phi2 0.931 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.931 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.931 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.931 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.931 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.931 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.931 * [taylor]: Taking taylor expansion of -1 in phi1 0.931 * [backup-simplify]: Simplify -1 into -1 0.931 * [taylor]: Taking taylor expansion of phi1 in phi1 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 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.932 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.932 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.932 * [taylor]: Taking taylor expansion of -1 in phi1 0.932 * [backup-simplify]: Simplify -1 into -1 0.932 * [taylor]: Taking taylor expansion of phi2 in phi1 0.932 * [backup-simplify]: Simplify phi2 into phi2 0.932 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.932 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.932 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.932 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.932 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.933 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.933 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.933 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.933 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.933 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.933 * [taylor]: Taking taylor expansion of -1 in phi2 0.933 * [backup-simplify]: Simplify -1 into -1 0.933 * [taylor]: Taking taylor expansion of phi1 in phi2 0.933 * [backup-simplify]: Simplify phi1 into phi1 0.933 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.933 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.933 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.933 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.933 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.933 * [taylor]: Taking taylor expansion of -1 in phi2 0.933 * [backup-simplify]: Simplify -1 into -1 0.933 * [taylor]: Taking taylor expansion of phi2 in phi2 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ -1 1) into -1 0.934 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.934 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.934 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.934 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.934 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.935 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.935 * [backup-simplify]: Simplify (+ 0) into 0 0.935 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.937 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.938 * [taylor]: Taking taylor expansion of 0 in phi2 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify (+ 0) into 0 0.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.940 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.942 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.945 * [taylor]: Taking taylor expansion of 0 in phi2 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.946 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.951 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 0.955 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.956 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.956 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.956 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.956 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.956 * [taylor]: Taking taylor expansion of R in R 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.957 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.957 * [taylor]: Taking taylor expansion of R in lambda2 0.957 * [backup-simplify]: Simplify R into R 0.957 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.957 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.957 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.957 * [taylor]: Taking taylor expansion of R in lambda1 0.957 * [backup-simplify]: Simplify R into R 0.957 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.957 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.958 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.958 * [taylor]: Taking taylor expansion of R in phi2 0.958 * [backup-simplify]: Simplify R into R 0.958 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.958 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.958 * [taylor]: Taking taylor expansion of R in phi1 0.958 * [backup-simplify]: Simplify R into R 0.958 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.959 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.959 * [taylor]: Taking taylor expansion of R in phi1 0.959 * [backup-simplify]: Simplify R into R 0.959 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.959 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.959 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.960 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.960 * [taylor]: Taking taylor expansion of R in phi2 0.960 * [backup-simplify]: Simplify R into R 0.960 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.960 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.961 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.961 * [taylor]: Taking taylor expansion of R in lambda1 0.961 * [backup-simplify]: Simplify R into R 0.961 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.961 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.962 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.962 * [taylor]: Taking taylor expansion of R in lambda2 0.962 * [backup-simplify]: Simplify R into R 0.962 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.962 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.963 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.963 * [taylor]: Taking taylor expansion of R in R 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.964 * [taylor]: Taking taylor expansion of 0 in phi2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [backup-simplify]: Simplify 0 into 0 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in lambda2 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in R 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.967 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0.969 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in phi2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.971 * [taylor]: Taking taylor expansion of 0 in lambda2 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.973 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.973 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.973 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 0.973 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 0.974 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.974 * [taylor]: Taking taylor expansion of R in R 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.975 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 0.975 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 0.975 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.975 * [taylor]: Taking taylor expansion of R in lambda2 0.975 * [backup-simplify]: Simplify R into R 0.976 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.976 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 0.976 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 0.976 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.977 * [taylor]: Taking taylor expansion of R in lambda1 0.977 * [backup-simplify]: Simplify R into R 0.977 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.977 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 0.978 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.978 * [taylor]: Taking taylor expansion of R in phi2 0.978 * [backup-simplify]: Simplify R into R 0.978 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.979 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 0.979 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 0.979 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.979 * [taylor]: Taking taylor expansion of R in phi1 0.979 * [backup-simplify]: Simplify R into R 0.980 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.980 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 0.980 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 0.981 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.981 * [taylor]: Taking taylor expansion of R in phi1 0.981 * [backup-simplify]: Simplify R into R 0.981 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.981 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 0.981 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 0.982 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.982 * [taylor]: Taking taylor expansion of R in phi2 0.982 * [backup-simplify]: Simplify R into R 0.983 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.983 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 0.983 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.983 * [taylor]: Taking taylor expansion of R in lambda1 0.983 * [backup-simplify]: Simplify R into R 0.984 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.984 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 0.985 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.985 * [taylor]: Taking taylor expansion of R in lambda2 0.985 * [backup-simplify]: Simplify R into R 0.985 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 0.985 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 0.986 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 0.986 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.986 * [taylor]: Taking taylor expansion of R in R 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.987 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 0.988 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 0.988 * [taylor]: Taking taylor expansion of 0 in phi2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda1 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.998 * [taylor]: Taking taylor expansion of 0 in phi2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda1 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.007 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.007 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.007 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.007 * [taylor]: Taking taylor expansion of -1 in R 1.007 * [backup-simplify]: Simplify -1 into -1 1.007 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.007 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.008 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.008 * [taylor]: Taking taylor expansion of R in R 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 1 into 1 1.008 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.008 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.008 * [taylor]: Taking taylor expansion of -1 in lambda2 1.008 * [backup-simplify]: Simplify -1 into -1 1.008 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.008 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.009 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.009 * [taylor]: Taking taylor expansion of R in lambda2 1.009 * [backup-simplify]: Simplify R into R 1.010 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.010 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.010 * [taylor]: Taking taylor expansion of -1 in lambda1 1.010 * [backup-simplify]: Simplify -1 into -1 1.010 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.010 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.010 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.010 * [taylor]: Taking taylor expansion of R in lambda1 1.010 * [backup-simplify]: Simplify R into R 1.011 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.011 * [taylor]: Taking taylor expansion of -1 in phi2 1.011 * [backup-simplify]: Simplify -1 into -1 1.011 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.012 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.012 * [taylor]: Taking taylor expansion of R in phi2 1.012 * [backup-simplify]: Simplify R into R 1.012 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.012 * [taylor]: Taking taylor expansion of -1 in phi1 1.012 * [backup-simplify]: Simplify -1 into -1 1.013 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.013 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.013 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.013 * [taylor]: Taking taylor expansion of R in phi1 1.013 * [backup-simplify]: Simplify R into R 1.014 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.014 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.014 * [taylor]: Taking taylor expansion of -1 in phi1 1.014 * [backup-simplify]: Simplify -1 into -1 1.014 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.014 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.014 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.015 * [taylor]: Taking taylor expansion of R in phi1 1.015 * [backup-simplify]: Simplify R into R 1.015 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.016 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.016 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.016 * [taylor]: Taking taylor expansion of -1 in phi2 1.016 * [backup-simplify]: Simplify -1 into -1 1.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.017 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.017 * [taylor]: Taking taylor expansion of R in phi2 1.017 * [backup-simplify]: Simplify R into R 1.018 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.018 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.018 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.018 * [taylor]: Taking taylor expansion of -1 in lambda1 1.018 * [backup-simplify]: Simplify -1 into -1 1.018 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.019 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.019 * [taylor]: Taking taylor expansion of R in lambda1 1.019 * [backup-simplify]: Simplify R into R 1.019 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.020 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.020 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.020 * [taylor]: Taking taylor expansion of -1 in lambda2 1.020 * [backup-simplify]: Simplify -1 into -1 1.020 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.020 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.020 * [taylor]: Taking taylor expansion of R in lambda2 1.020 * [backup-simplify]: Simplify R into R 1.020 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.021 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.021 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.021 * [taylor]: Taking taylor expansion of -1 in R 1.021 * [backup-simplify]: Simplify -1 into -1 1.021 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.021 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.021 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.021 * [taylor]: Taking taylor expansion of R in R 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.022 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.022 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.023 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.023 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [taylor]: Taking taylor expansion of 0 in lambda1 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [taylor]: Taking taylor expansion of 0 in lambda2 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [taylor]: Taking taylor expansion of 0 in R 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.025 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.025 * [taylor]: Taking taylor expansion of 0 in lambda1 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [taylor]: Taking taylor expansion of 0 in R 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.026 * [taylor]: Taking taylor expansion of 0 in lambda2 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [taylor]: Taking taylor expansion of 0 in R 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.027 * [taylor]: Taking taylor expansion of 0 in R 1.027 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.030 * [taylor]: Taking taylor expansion of 0 in phi2 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda1 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda1 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [taylor]: Taking taylor expansion of 0 in R 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [taylor]: Taking taylor expansion of 0 in R 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [taylor]: Taking taylor expansion of 0 in R 1.031 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.033 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in R 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.037 * * * [progress]: simplifying candidates 1.038 * [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)))))) (- (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 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) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.040 * * [simplify]: iteration 0: 111 enodes 1.060 * * [simplify]: iteration 1: 207 enodes 1.142 * * [simplify]: iteration 2: 654 enodes 1.782 * * [simplify]: iteration 3: 4255 enodes 3.895 * * [simplify]: iteration complete: 5001 enodes 3.896 * * [simplify]: Extracting #0: cost 47 inf + 0 3.896 * * [simplify]: Extracting #1: cost 257 inf + 0 3.898 * * [simplify]: Extracting #2: cost 742 inf + 2305 3.903 * * [simplify]: Extracting #3: cost 531 inf + 26349 3.913 * * [simplify]: Extracting #4: cost 276 inf + 72731 3.938 * * [simplify]: Extracting #5: cost 243 inf + 85989 3.996 * * [simplify]: Extracting #6: cost 40 inf + 223135 4.070 * * [simplify]: Extracting #7: cost 0 inf + 252789 4.120 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (- (sin lambda1))) (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (- (sin lambda1))) (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) (log (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (log (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (exp (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (* (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (cbrt (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (* (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (sqrt R) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* R (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) (+ 1 (* lambda1 (- lambda2 (* 1/2 lambda1)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) R) 4.125 * * * [progress]: adding candidates to table 4.716 * * [progress]: iteration 2 / 4 4.716 * * * [progress]: picking best candidate 4.900 * * * * [pick]: Picked # 4.900 * * * [progress]: localizing error 4.977 * * * [progress]: generating rewritten candidates 4.977 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.988 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.999 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 5.017 * * * [progress]: generating series expansions 5.018 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.018 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.018 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 5.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 5.019 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 5.019 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 5.019 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 5.020 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 5.020 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 5.021 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 5.021 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 5.022 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.022 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.022 * [taylor]: Taking taylor expansion of 0 in phi2 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda1 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda2 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda1 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda2 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda2 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in phi2 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda1 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda2 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [taylor]: Taking taylor expansion of 0 in lambda1 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [taylor]: Taking taylor expansion of 0 in lambda2 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.023 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.023 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.023 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 5.024 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 5.024 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.025 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 5.025 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.025 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 5.026 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 5.026 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 5.027 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 5.027 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 5.028 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.028 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.028 * [taylor]: Taking taylor expansion of 0 in phi2 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [taylor]: Taking taylor expansion of 0 in lambda1 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [taylor]: Taking taylor expansion of 0 in lambda2 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda1 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda2 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda2 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in phi2 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda1 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda2 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda1 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [taylor]: Taking taylor expansion of 0 in lambda2 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 5.030 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.030 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.030 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 5.031 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.031 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.031 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.031 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 5.032 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.032 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 5.032 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.032 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 5.033 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 5.034 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.034 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 5.035 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.035 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.035 * [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 * [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 5.036 * [backup-simplify]: Simplify 0 into 0 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 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [taylor]: Taking taylor expansion of 0 in phi2 5.036 * [backup-simplify]: Simplify 0 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 * [backup-simplify]: Simplify 0 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 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 5.037 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 5.037 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 5.037 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 5.037 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 5.037 * [taylor]: Taking taylor expansion of phi1 in phi2 5.037 * [backup-simplify]: Simplify phi1 into phi1 5.037 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 5.037 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 5.037 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.037 * [taylor]: Taking taylor expansion of phi2 in phi2 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 5.037 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 5.037 * [taylor]: Taking taylor expansion of phi1 in phi1 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 5.037 * [taylor]: Taking taylor expansion of phi2 in phi1 5.037 * [backup-simplify]: Simplify phi2 into phi2 5.037 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 5.037 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 5.037 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 5.037 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 5.037 * [taylor]: Taking taylor expansion of phi1 in phi1 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 5.037 * [taylor]: Taking taylor expansion of phi2 in phi1 5.037 * [backup-simplify]: Simplify phi2 into phi2 5.037 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 5.037 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 5.037 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 5.037 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 5.037 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 5.038 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 5.038 * [taylor]: Taking taylor expansion of 0 in phi2 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (+ 0) into 0 5.038 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 5.039 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.039 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 5.040 * [backup-simplify]: Simplify (+ 0 0) into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.040 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 5.040 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.040 * [taylor]: Taking taylor expansion of phi2 in phi2 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.041 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 5.042 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.042 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 5.042 * [backup-simplify]: Simplify (+ 0 0) into 0 5.043 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 5.044 * [taylor]: Taking taylor expansion of 0 in phi2 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.045 * [backup-simplify]: Simplify 1 into 1 5.045 * [backup-simplify]: Simplify 0 into 0 5.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.047 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.049 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 5.052 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 5.052 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 5.052 * [taylor]: Taking taylor expansion of 1/6 in phi2 5.052 * [backup-simplify]: Simplify 1/6 into 1/6 5.052 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.052 * [taylor]: Taking taylor expansion of phi2 in phi2 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.053 * [backup-simplify]: Simplify (* 1/6 0) into 0 5.053 * [backup-simplify]: Simplify (- 0) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 5.058 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.059 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.060 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.060 * [backup-simplify]: Simplify (+ 0 0) into 0 5.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 5.064 * [taylor]: Taking taylor expansion of 0 in phi2 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 5.064 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.064 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 5.064 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 5.064 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 5.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 5.064 * [taylor]: Taking taylor expansion of phi2 in phi2 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (/ 1 1) into 1 5.065 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.065 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 5.065 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 5.065 * [taylor]: Taking taylor expansion of phi1 in phi2 5.065 * [backup-simplify]: Simplify phi1 into phi1 5.065 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 5.065 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.065 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 5.065 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 5.065 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 5.065 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 5.065 * [taylor]: Taking taylor expansion of phi2 in phi1 5.065 * [backup-simplify]: Simplify phi2 into phi2 5.065 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 5.065 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.065 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 5.065 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 5.066 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 5.066 * [taylor]: Taking taylor expansion of phi1 in phi1 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [backup-simplify]: Simplify (/ 1 1) into 1 5.066 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.066 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 5.066 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 5.066 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 5.066 * [taylor]: Taking taylor expansion of phi2 in phi1 5.066 * [backup-simplify]: Simplify phi2 into phi2 5.066 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 5.067 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.067 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 5.067 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 5.067 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 5.067 * [taylor]: Taking taylor expansion of phi1 in phi1 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [backup-simplify]: Simplify (/ 1 1) into 1 5.067 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.067 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 5.068 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 5.068 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 5.068 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.068 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 5.068 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 5.068 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 5.068 * [taylor]: Taking taylor expansion of phi2 in phi2 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.069 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.069 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 5.069 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 5.069 * [taylor]: Taking taylor expansion of phi1 in phi2 5.069 * [backup-simplify]: Simplify phi1 into phi1 5.069 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 5.069 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.069 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 5.069 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 5.069 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 5.069 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 5.069 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.070 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.070 * [backup-simplify]: Simplify (+ 0) into 0 5.071 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 5.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 5.072 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.072 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 5.073 * [backup-simplify]: Simplify (+ 0 0) into 0 5.073 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 5.073 * [taylor]: Taking taylor expansion of 0 in phi2 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify (+ 0) into 0 5.078 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 5.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 5.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.079 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 5.080 * [backup-simplify]: Simplify (+ 0 0) into 0 5.080 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 5.080 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.082 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.083 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.083 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.084 * [backup-simplify]: Simplify (+ 0 0) into 0 5.084 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 5.084 * [taylor]: Taking taylor expansion of 0 in phi2 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 5.087 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.088 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.089 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.090 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.092 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.093 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.093 * [backup-simplify]: Simplify (+ 0 0) into 0 5.094 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 5.094 * [taylor]: Taking taylor expansion of 0 in phi2 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 5.095 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.095 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 5.095 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 5.095 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 5.095 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 5.095 * [taylor]: Taking taylor expansion of -1 in phi2 5.095 * [backup-simplify]: Simplify -1 into -1 5.095 * [taylor]: Taking taylor expansion of phi1 in phi2 5.095 * [backup-simplify]: Simplify phi1 into phi1 5.095 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 5.095 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.095 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 5.095 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 5.095 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 5.095 * [taylor]: Taking taylor expansion of -1 in phi2 5.095 * [backup-simplify]: Simplify -1 into -1 5.095 * [taylor]: Taking taylor expansion of phi2 in phi2 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify (/ -1 1) into -1 5.096 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.096 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 5.096 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 5.096 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 5.096 * [taylor]: Taking taylor expansion of -1 in phi1 5.096 * [backup-simplify]: Simplify -1 into -1 5.096 * [taylor]: Taking taylor expansion of phi1 in phi1 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (/ -1 1) into -1 5.097 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.097 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 5.097 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 5.097 * [taylor]: Taking taylor expansion of -1 in phi1 5.097 * [backup-simplify]: Simplify -1 into -1 5.097 * [taylor]: Taking taylor expansion of phi2 in phi1 5.097 * [backup-simplify]: Simplify phi2 into phi2 5.097 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 5.097 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.097 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 5.097 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 5.097 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 5.097 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 5.097 * [taylor]: Taking taylor expansion of -1 in phi1 5.097 * [backup-simplify]: Simplify -1 into -1 5.097 * [taylor]: Taking taylor expansion of phi1 in phi1 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.098 * [backup-simplify]: Simplify (/ -1 1) into -1 5.098 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.098 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 5.098 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 5.098 * [taylor]: Taking taylor expansion of -1 in phi1 5.098 * [backup-simplify]: Simplify -1 into -1 5.098 * [taylor]: Taking taylor expansion of phi2 in phi1 5.098 * [backup-simplify]: Simplify phi2 into phi2 5.098 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 5.098 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.098 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 5.099 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 5.099 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 5.099 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 5.099 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.099 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 5.099 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 5.099 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 5.099 * [taylor]: Taking taylor expansion of -1 in phi2 5.099 * [backup-simplify]: Simplify -1 into -1 5.099 * [taylor]: Taking taylor expansion of phi1 in phi2 5.099 * [backup-simplify]: Simplify phi1 into phi1 5.099 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 5.099 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.099 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 5.099 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 5.099 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 5.099 * [taylor]: Taking taylor expansion of -1 in phi2 5.100 * [backup-simplify]: Simplify -1 into -1 5.100 * [taylor]: Taking taylor expansion of phi2 in phi2 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (/ -1 1) into -1 5.100 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.100 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 5.100 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 5.101 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 5.101 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.101 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.101 * [backup-simplify]: Simplify (+ 0) into 0 5.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 5.102 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 5.104 * [taylor]: Taking taylor expansion of 0 in phi2 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (+ 0) into 0 5.105 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 5.105 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 5.107 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.109 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.109 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.110 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.111 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.111 * [backup-simplify]: Simplify (+ 0 0) into 0 5.112 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 5.112 * [taylor]: Taking taylor expansion of 0 in phi2 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.113 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.114 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 5.115 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.115 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.116 * [backup-simplify]: Simplify (+ 0 0) into 0 5.116 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.118 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.120 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.121 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.121 * [backup-simplify]: Simplify (+ 0 0) into 0 5.122 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 5.122 * [taylor]: Taking taylor expansion of 0 in phi2 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 5.123 * * * * [progress]: [ 3 / 4 ] generating series at (2) 5.124 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.124 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 5.124 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 5.124 * [taylor]: Taking taylor expansion of R in R 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 5.125 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.125 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 5.125 * [taylor]: Taking taylor expansion of R in lambda2 5.125 * [backup-simplify]: Simplify R into R 5.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 5.126 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.126 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 5.126 * [taylor]: Taking taylor expansion of R in lambda1 5.126 * [backup-simplify]: Simplify R into R 5.126 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 5.127 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.127 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 5.127 * [taylor]: Taking taylor expansion of R in phi2 5.127 * [backup-simplify]: Simplify R into R 5.127 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 5.128 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.128 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 5.128 * [taylor]: Taking taylor expansion of R in phi1 5.128 * [backup-simplify]: Simplify R into R 5.128 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 5.129 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.129 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 5.129 * [taylor]: Taking taylor expansion of R in phi1 5.129 * [backup-simplify]: Simplify R into R 5.129 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 5.129 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.130 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.130 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 5.130 * [taylor]: Taking taylor expansion of R in phi2 5.130 * [backup-simplify]: Simplify R into R 5.130 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 5.131 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.132 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.132 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 5.132 * [taylor]: Taking taylor expansion of R in lambda1 5.132 * [backup-simplify]: Simplify R into R 5.132 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 5.133 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.134 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.134 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 5.134 * [taylor]: Taking taylor expansion of R in lambda2 5.134 * [backup-simplify]: Simplify R into R 5.134 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 5.135 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.135 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.135 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 5.135 * [taylor]: Taking taylor expansion of R in R 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 1 into 1 5.135 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 5.136 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.136 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 5.137 * [taylor]: Taking taylor expansion of 0 in phi2 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [taylor]: Taking taylor expansion of 0 in lambda1 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [taylor]: Taking taylor expansion of 0 in lambda2 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [taylor]: Taking taylor expansion of 0 in R 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 5.137 * [taylor]: Taking taylor expansion of 0 in lambda1 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [taylor]: Taking taylor expansion of 0 in lambda2 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [taylor]: Taking taylor expansion of 0 in R 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 5.138 * [taylor]: Taking taylor expansion of 0 in lambda2 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [taylor]: Taking taylor expansion of 0 in R 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 5.138 * [taylor]: Taking taylor expansion of 0 in R 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.140 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 5.141 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 5.141 * [taylor]: Taking taylor expansion of 0 in phi2 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [taylor]: Taking taylor expansion of 0 in lambda1 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [taylor]: Taking taylor expansion of 0 in lambda2 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [taylor]: Taking taylor expansion of 0 in R 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [taylor]: Taking taylor expansion of 0 in lambda1 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [taylor]: Taking taylor expansion of 0 in lambda2 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [taylor]: Taking taylor expansion of 0 in R 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 5.142 * [taylor]: Taking taylor expansion of 0 in lambda1 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [taylor]: Taking taylor expansion of 0 in lambda2 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [taylor]: Taking taylor expansion of 0 in R 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [taylor]: Taking taylor expansion of 0 in lambda2 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [taylor]: Taking taylor expansion of 0 in R 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [taylor]: Taking taylor expansion of 0 in lambda2 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [taylor]: Taking taylor expansion of 0 in R 5.142 * [backup-simplify]: Simplify 0 into 0 5.142 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 5.143 * [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 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.144 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.144 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 5.144 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 5.144 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 5.145 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.145 * [taylor]: Taking taylor expansion of R in R 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.146 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 5.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 5.146 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.146 * [taylor]: Taking taylor expansion of R in lambda2 5.146 * [backup-simplify]: Simplify R into R 5.147 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.147 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 5.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 5.147 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.147 * [taylor]: Taking taylor expansion of R in lambda1 5.147 * [backup-simplify]: Simplify R into R 5.148 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.148 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 5.148 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 5.149 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.149 * [taylor]: Taking taylor expansion of R in phi2 5.149 * [backup-simplify]: Simplify R into R 5.149 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.149 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 5.149 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 5.150 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.150 * [taylor]: Taking taylor expansion of R in phi1 5.150 * [backup-simplify]: Simplify R into R 5.151 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.151 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 5.151 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 5.151 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.152 * [taylor]: Taking taylor expansion of R in phi1 5.152 * [backup-simplify]: Simplify R into R 5.152 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.152 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 5.152 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 5.153 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.153 * [taylor]: Taking taylor expansion of R in phi2 5.153 * [backup-simplify]: Simplify R into R 5.153 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.153 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 5.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 5.154 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.154 * [taylor]: Taking taylor expansion of R in lambda1 5.154 * [backup-simplify]: Simplify R into R 5.154 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.154 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 5.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 5.155 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.155 * [taylor]: Taking taylor expansion of R in lambda2 5.155 * [backup-simplify]: Simplify R into R 5.156 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 5.156 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 5.156 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 5.156 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.156 * [taylor]: Taking taylor expansion of R in R 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.157 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.157 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 5.158 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 5.158 * [taylor]: Taking taylor expansion of 0 in phi2 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [taylor]: Taking taylor expansion of 0 in lambda1 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [taylor]: Taking taylor expansion of 0 in lambda2 5.158 * [backup-simplify]: Simplify 0 into 0 5.158 * [taylor]: Taking taylor expansion of 0 in R 5.158 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 5.159 * [taylor]: Taking taylor expansion of 0 in lambda1 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [taylor]: Taking taylor expansion of 0 in lambda2 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [taylor]: Taking taylor expansion of 0 in R 5.159 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 5.160 * [taylor]: Taking taylor expansion of 0 in lambda2 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [taylor]: Taking taylor expansion of 0 in R 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 5.160 * [taylor]: Taking taylor expansion of 0 in R 5.160 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.163 * [taylor]: Taking taylor expansion of 0 in phi2 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [taylor]: Taking taylor expansion of 0 in lambda1 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [taylor]: Taking taylor expansion of 0 in lambda2 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [taylor]: Taking taylor expansion of 0 in R 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [taylor]: Taking taylor expansion of 0 in lambda1 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [taylor]: Taking taylor expansion of 0 in lambda2 5.163 * [backup-simplify]: Simplify 0 into 0 5.163 * [taylor]: Taking taylor expansion of 0 in R 5.163 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.164 * [taylor]: Taking taylor expansion of 0 in lambda1 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [taylor]: Taking taylor expansion of 0 in lambda2 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [taylor]: Taking taylor expansion of 0 in R 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [taylor]: Taking taylor expansion of 0 in lambda2 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [taylor]: Taking taylor expansion of 0 in R 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [taylor]: Taking taylor expansion of 0 in lambda2 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [taylor]: Taking taylor expansion of 0 in R 5.164 * [backup-simplify]: Simplify 0 into 0 5.164 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.165 * [taylor]: Taking taylor expansion of 0 in lambda2 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [taylor]: Taking taylor expansion of 0 in R 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [taylor]: Taking taylor expansion of 0 in R 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [taylor]: Taking taylor expansion of 0 in R 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [taylor]: Taking taylor expansion of 0 in R 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.165 * [taylor]: Taking taylor expansion of 0 in R 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 5.169 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 5.169 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 5.169 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 5.169 * [taylor]: Taking taylor expansion of -1 in R 5.169 * [backup-simplify]: Simplify -1 into -1 5.169 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 5.169 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 5.170 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.170 * [taylor]: Taking taylor expansion of R in R 5.170 * [backup-simplify]: Simplify 0 into 0 5.170 * [backup-simplify]: Simplify 1 into 1 5.170 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.170 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 5.170 * [taylor]: Taking taylor expansion of -1 in lambda2 5.170 * [backup-simplify]: Simplify -1 into -1 5.170 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 5.170 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 5.171 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.171 * [taylor]: Taking taylor expansion of R in lambda2 5.171 * [backup-simplify]: Simplify R into R 5.171 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 5.172 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 5.172 * [taylor]: Taking taylor expansion of -1 in lambda1 5.172 * [backup-simplify]: Simplify -1 into -1 5.172 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 5.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.172 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.172 * [taylor]: Taking taylor expansion of R in lambda1 5.172 * [backup-simplify]: Simplify R into R 5.173 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 5.173 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 5.173 * [taylor]: Taking taylor expansion of -1 in phi2 5.173 * [backup-simplify]: Simplify -1 into -1 5.173 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 5.173 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 5.174 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.174 * [taylor]: Taking taylor expansion of R in phi2 5.174 * [backup-simplify]: Simplify R into R 5.174 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 5.174 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 5.174 * [taylor]: Taking taylor expansion of -1 in phi1 5.174 * [backup-simplify]: Simplify -1 into -1 5.174 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 5.174 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 5.175 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.175 * [taylor]: Taking taylor expansion of R in phi1 5.175 * [backup-simplify]: Simplify R into R 5.175 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 5.175 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 5.175 * [taylor]: Taking taylor expansion of -1 in phi1 5.175 * [backup-simplify]: Simplify -1 into -1 5.175 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 5.176 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 5.176 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.176 * [taylor]: Taking taylor expansion of R in phi1 5.176 * [backup-simplify]: Simplify R into R 5.177 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 5.177 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 5.177 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 5.177 * [taylor]: Taking taylor expansion of -1 in phi2 5.177 * [backup-simplify]: Simplify -1 into -1 5.177 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 5.177 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 5.178 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.178 * [taylor]: Taking taylor expansion of R in phi2 5.178 * [backup-simplify]: Simplify R into R 5.179 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 5.179 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 5.179 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 5.180 * [taylor]: Taking taylor expansion of -1 in lambda1 5.180 * [backup-simplify]: Simplify -1 into -1 5.180 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 5.180 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.181 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.181 * [taylor]: Taking taylor expansion of R in lambda1 5.181 * [backup-simplify]: Simplify R into R 5.182 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 5.183 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 5.183 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 5.183 * [taylor]: Taking taylor expansion of -1 in lambda2 5.183 * [backup-simplify]: Simplify -1 into -1 5.183 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 5.183 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 5.185 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.185 * [taylor]: Taking taylor expansion of R in lambda2 5.185 * [backup-simplify]: Simplify R into R 5.186 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 5.187 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 5.187 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 5.187 * [taylor]: Taking taylor expansion of -1 in R 5.187 * [backup-simplify]: Simplify -1 into -1 5.187 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 5.187 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 5.188 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 5.188 * [taylor]: Taking taylor expansion of R in R 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 5.190 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 5.191 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 5.193 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 5.195 * [taylor]: Taking taylor expansion of 0 in phi2 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [taylor]: Taking taylor expansion of 0 in lambda1 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [taylor]: Taking taylor expansion of 0 in lambda2 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [taylor]: Taking taylor expansion of 0 in R 5.195 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 5.198 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 5.198 * [taylor]: Taking taylor expansion of 0 in lambda1 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [taylor]: Taking taylor expansion of 0 in lambda2 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [taylor]: Taking taylor expansion of 0 in R 5.198 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 5.201 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 5.201 * [taylor]: Taking taylor expansion of 0 in lambda2 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [taylor]: Taking taylor expansion of 0 in R 5.201 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 5.205 * [taylor]: Taking taylor expansion of 0 in R 5.205 * [backup-simplify]: Simplify 0 into 0 5.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 5.214 * [taylor]: Taking taylor expansion of 0 in phi2 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [taylor]: Taking taylor expansion of 0 in lambda1 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [taylor]: Taking taylor expansion of 0 in lambda2 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [taylor]: Taking taylor expansion of 0 in R 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [taylor]: Taking taylor expansion of 0 in lambda1 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [taylor]: Taking taylor expansion of 0 in lambda2 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [taylor]: Taking taylor expansion of 0 in R 5.214 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 5.218 * [taylor]: Taking taylor expansion of 0 in lambda1 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [taylor]: Taking taylor expansion of 0 in lambda2 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [taylor]: Taking taylor expansion of 0 in R 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [taylor]: Taking taylor expansion of 0 in lambda2 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [taylor]: Taking taylor expansion of 0 in R 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [taylor]: Taking taylor expansion of 0 in lambda2 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [taylor]: Taking taylor expansion of 0 in R 5.218 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.222 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 5.222 * [taylor]: Taking taylor expansion of 0 in lambda2 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [taylor]: Taking taylor expansion of 0 in R 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [taylor]: Taking taylor expansion of 0 in R 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [taylor]: Taking taylor expansion of 0 in R 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [taylor]: Taking taylor expansion of 0 in R 5.222 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 5.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 5.226 * [taylor]: Taking taylor expansion of 0 in R 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 5.233 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 5.234 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 5.234 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 5.234 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 5.234 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 5.234 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.234 * [backup-simplify]: Simplify lambda1 into lambda1 5.234 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 5.234 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 5.234 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.234 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 5.234 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 5.234 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 5.234 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.234 * [backup-simplify]: Simplify lambda2 into lambda2 5.234 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 5.234 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 5.234 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 5.234 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 5.234 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.235 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 5.235 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.235 * [backup-simplify]: Simplify lambda2 into lambda2 5.235 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 5.235 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 5.235 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 5.235 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 5.235 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 5.235 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 5.235 * [taylor]: Taking taylor expansion of 0 in lambda2 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify (+ 0) into 0 5.236 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 5.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.238 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.239 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 5.239 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.239 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify 0 into 0 5.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.241 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 5.242 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.242 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 5.243 * [backup-simplify]: Simplify (+ 0 0) into 0 5.244 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 5.245 * [taylor]: Taking taylor expansion of 0 in lambda2 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.247 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.250 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.250 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 5.253 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 5.253 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 5.253 * [taylor]: Taking taylor expansion of 1/6 in lambda2 5.253 * [backup-simplify]: Simplify 1/6 into 1/6 5.253 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.253 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (* 1/6 0) into 0 5.254 * [backup-simplify]: Simplify (- 0) into 0 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 5.259 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.260 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.261 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.263 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 5.265 * [taylor]: Taking taylor expansion of 0 in lambda2 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 5.265 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.265 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 5.265 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 5.265 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 5.265 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 5.265 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.265 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (/ 1 1) into 1 5.266 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.266 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 5.266 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 5.266 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.266 * [backup-simplify]: Simplify lambda1 into lambda1 5.266 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 5.266 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.266 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 5.266 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 5.266 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 5.266 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 5.267 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.267 * [backup-simplify]: Simplify lambda2 into lambda2 5.267 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 5.267 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.267 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 5.267 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 5.267 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 5.267 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (/ 1 1) into 1 5.267 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.267 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 5.267 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 5.268 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 5.268 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.268 * [backup-simplify]: Simplify lambda2 into lambda2 5.268 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 5.268 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.268 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 5.268 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 5.268 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 5.268 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.268 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.269 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 5.269 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 5.269 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 5.269 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.269 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 5.269 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 5.269 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 5.269 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (/ 1 1) into 1 5.270 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.270 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 5.270 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 5.270 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.270 * [backup-simplify]: Simplify lambda1 into lambda1 5.270 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 5.270 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.270 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 5.270 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 5.270 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 5.270 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 5.271 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.271 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.271 * [backup-simplify]: Simplify (+ 0) into 0 5.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 5.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 5.273 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.273 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 5.274 * [backup-simplify]: Simplify (+ 0 0) into 0 5.274 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 5.274 * [taylor]: Taking taylor expansion of 0 in lambda2 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify (+ 0) into 0 5.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 5.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 5.276 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.276 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 5.277 * [backup-simplify]: Simplify (+ 0 0) into 0 5.277 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.279 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.280 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.281 * [backup-simplify]: Simplify (+ 0 0) into 0 5.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 5.281 * [taylor]: Taking taylor expansion of 0 in lambda2 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.283 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 5.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.285 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.285 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 5.286 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.288 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.289 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.290 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.290 * [backup-simplify]: Simplify (+ 0 0) into 0 5.291 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 5.291 * [taylor]: Taking taylor expansion of 0 in lambda2 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 5.292 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.292 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 5.292 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 5.292 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 5.292 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 5.292 * [taylor]: Taking taylor expansion of -1 in lambda2 5.292 * [backup-simplify]: Simplify -1 into -1 5.292 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.292 * [backup-simplify]: Simplify lambda1 into lambda1 5.292 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 5.292 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.292 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 5.292 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 5.292 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 5.292 * [taylor]: Taking taylor expansion of -1 in lambda2 5.292 * [backup-simplify]: Simplify -1 into -1 5.292 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (/ -1 1) into -1 5.293 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.293 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 5.293 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 5.293 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 5.293 * [taylor]: Taking taylor expansion of -1 in lambda1 5.293 * [backup-simplify]: Simplify -1 into -1 5.293 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 1 into 1 5.294 * [backup-simplify]: Simplify (/ -1 1) into -1 5.294 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.294 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 5.294 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 5.294 * [taylor]: Taking taylor expansion of -1 in lambda1 5.294 * [backup-simplify]: Simplify -1 into -1 5.294 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.294 * [backup-simplify]: Simplify lambda2 into lambda2 5.294 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 5.294 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.294 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 5.294 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 5.294 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 5.294 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 5.294 * [taylor]: Taking taylor expansion of -1 in lambda1 5.294 * [backup-simplify]: Simplify -1 into -1 5.294 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.294 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify 1 into 1 5.295 * [backup-simplify]: Simplify (/ -1 1) into -1 5.295 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 5.295 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 5.295 * [taylor]: Taking taylor expansion of -1 in lambda1 5.295 * [backup-simplify]: Simplify -1 into -1 5.295 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.295 * [backup-simplify]: Simplify lambda2 into lambda2 5.295 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 5.295 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.295 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 5.296 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 5.296 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 5.296 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 5.296 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.296 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 5.296 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 5.296 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 5.296 * [taylor]: Taking taylor expansion of -1 in lambda2 5.296 * [backup-simplify]: Simplify -1 into -1 5.296 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.296 * [backup-simplify]: Simplify lambda1 into lambda1 5.296 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 5.296 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.297 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 5.297 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 5.297 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 5.297 * [taylor]: Taking taylor expansion of -1 in lambda2 5.297 * [backup-simplify]: Simplify -1 into -1 5.297 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (/ -1 1) into -1 5.297 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.297 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 5.298 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 5.298 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 5.298 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.298 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.298 * [backup-simplify]: Simplify (+ 0) into 0 5.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 5.299 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 5.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 5.301 * [backup-simplify]: Simplify (+ 0 0) into 0 5.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 5.301 * [taylor]: Taking taylor expansion of 0 in lambda2 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify (+ 0) into 0 5.302 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 5.302 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 5.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.304 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 5.304 * [backup-simplify]: Simplify (+ 0 0) into 0 5.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 5.304 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.306 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.306 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.308 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.308 * [backup-simplify]: Simplify (+ 0 0) into 0 5.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 5.308 * [taylor]: Taking taylor expansion of 0 in lambda2 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.310 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.311 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 5.311 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.312 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.313 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 5.313 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.315 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.315 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.316 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.318 * [backup-simplify]: Simplify (+ 0 0) into 0 5.319 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 5.319 * [taylor]: Taking taylor expansion of 0 in lambda2 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 5.319 * * * [progress]: simplifying candidates 5.321 * [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))))))) (- (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 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)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) 5.324 * * [simplify]: iteration 0: 134 enodes 5.347 * * [simplify]: iteration 1: 277 enodes 5.411 * * [simplify]: iteration 2: 1001 enodes 5.908 * * [simplify]: iteration complete: 5000 enodes 5.908 * * [simplify]: Extracting #0: cost 51 inf + 0 5.909 * * [simplify]: Extracting #1: cost 631 inf + 0 5.913 * * [simplify]: Extracting #2: cost 1447 inf + 1016 5.931 * * [simplify]: Extracting #3: cost 1055 inf + 80533 5.982 * * [simplify]: Extracting #4: cost 703 inf + 172417 6.064 * * [simplify]: Extracting #5: cost 408 inf + 315976 6.210 * * [simplify]: Extracting #6: cost 81 inf + 618165 6.403 * * [simplify]: Extracting #7: cost 0 inf + 699140 6.610 * * [simplify]: Extracting #8: cost 0 inf + 699100 6.792 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi2) (sin phi1)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (log (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (exp (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (* (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (* (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R))) (cbrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (* (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (sqrt (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (* (cbrt R) (cbrt R)) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (* R (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (* (cbrt (sin lambda2)) (sin lambda1)) (cbrt (sin lambda2))) (* (sqrt (sin lambda2)) (sin lambda1)) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) R) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 6.800 * * * [progress]: adding candidates to table 7.539 * * [progress]: iteration 3 / 4 7.540 * * * [progress]: picking best candidate 7.709 * * * * [pick]: Picked # 7.709 * * * [progress]: localizing error 7.817 * * * [progress]: generating rewritten candidates 7.817 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 7.821 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.823 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 7.848 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.854 * * * [progress]: generating series expansions 7.854 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 7.854 * [backup-simplify]: Simplify (log (exp (* (sin phi1) (sin phi2)))) into (* (sin phi1) (sin phi2)) 7.855 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 7.855 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 7.855 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 7.855 * [taylor]: Taking taylor expansion of phi1 in phi2 7.855 * [backup-simplify]: Simplify phi1 into phi1 7.855 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 7.855 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 7.855 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.855 * [taylor]: Taking taylor expansion of phi2 in phi2 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.855 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.855 * [taylor]: Taking taylor expansion of phi1 in phi1 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.855 * [taylor]: Taking taylor expansion of phi2 in phi1 7.855 * [backup-simplify]: Simplify phi2 into phi2 7.855 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 7.855 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 7.855 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.855 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.855 * [taylor]: Taking taylor expansion of phi1 in phi1 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.855 * [taylor]: Taking taylor expansion of phi2 in phi1 7.855 * [backup-simplify]: Simplify phi2 into phi2 7.855 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 7.855 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 7.855 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 7.855 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 7.855 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 7.855 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 7.855 * [taylor]: Taking taylor expansion of 0 in phi2 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify (+ 0) into 0 7.856 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 7.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.857 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 7.857 * [backup-simplify]: Simplify (+ 0 0) into 0 7.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 7.858 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.858 * [taylor]: Taking taylor expansion of phi2 in phi2 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 1 into 1 7.858 * [backup-simplify]: Simplify 0 into 0 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.859 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 7.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.860 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 7.860 * [backup-simplify]: Simplify (+ 0 0) into 0 7.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 7.861 * [taylor]: Taking taylor expansion of 0 in phi2 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.862 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.863 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.864 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.864 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.864 * [backup-simplify]: Simplify (+ 0 0) into 0 7.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 7.866 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 7.866 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 7.866 * [taylor]: Taking taylor expansion of 1/6 in phi2 7.866 * [backup-simplify]: Simplify 1/6 into 1/6 7.866 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.867 * [taylor]: Taking taylor expansion of phi2 in phi2 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [backup-simplify]: Simplify (* 1/6 0) into 0 7.867 * [backup-simplify]: Simplify (- 0) into 0 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.868 * [backup-simplify]: Simplify 0 into 0 7.868 * [backup-simplify]: Simplify 0 into 0 7.869 * [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 7.870 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.870 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.871 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.871 * [backup-simplify]: Simplify (+ 0 0) into 0 7.872 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 7.873 * [taylor]: Taking taylor expansion of 0 in phi2 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 7.873 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.873 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 7.873 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 7.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.873 * [taylor]: Taking taylor expansion of phi2 in phi2 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.874 * [backup-simplify]: Simplify (/ 1 1) into 1 7.874 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.874 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.874 * [taylor]: Taking taylor expansion of phi1 in phi2 7.874 * [backup-simplify]: Simplify phi1 into phi1 7.874 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 7.874 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.874 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 7.874 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 7.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.874 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.874 * [taylor]: Taking taylor expansion of phi2 in phi1 7.874 * [backup-simplify]: Simplify phi2 into phi2 7.874 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 7.874 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.874 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 7.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.874 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.874 * [taylor]: Taking taylor expansion of phi1 in phi1 7.874 * [backup-simplify]: Simplify 0 into 0 7.874 * [backup-simplify]: Simplify 1 into 1 7.875 * [backup-simplify]: Simplify (/ 1 1) into 1 7.875 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.875 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 7.875 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.875 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.875 * [taylor]: Taking taylor expansion of phi2 in phi1 7.875 * [backup-simplify]: Simplify phi2 into phi2 7.875 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 7.875 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.875 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 7.875 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.875 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.875 * [taylor]: Taking taylor expansion of phi1 in phi1 7.875 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify 1 into 1 7.875 * [backup-simplify]: Simplify (/ 1 1) into 1 7.875 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.876 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 7.876 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 7.876 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 7.876 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.876 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 7.876 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.876 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.876 * [taylor]: Taking taylor expansion of phi2 in phi2 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 1 into 1 7.877 * [backup-simplify]: Simplify (/ 1 1) into 1 7.877 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.877 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.877 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.877 * [taylor]: Taking taylor expansion of phi1 in phi2 7.877 * [backup-simplify]: Simplify phi1 into phi1 7.877 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 7.877 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.877 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 7.877 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 7.877 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 7.877 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 7.877 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.878 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.878 * [backup-simplify]: Simplify (+ 0) into 0 7.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 7.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 7.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.880 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 7.880 * [backup-simplify]: Simplify (+ 0 0) into 0 7.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 7.881 * [taylor]: Taking taylor expansion of 0 in phi2 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify (+ 0) into 0 7.882 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 7.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 7.883 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.886 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.887 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.887 * [backup-simplify]: Simplify (+ 0 0) into 0 7.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 7.888 * [taylor]: Taking taylor expansion of 0 in phi2 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 7.892 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.895 * [backup-simplify]: Simplify (+ 0 0) into 0 7.896 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 7.896 * [taylor]: Taking taylor expansion of 0 in phi2 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 7.896 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.896 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 7.896 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.896 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.896 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.896 * [taylor]: Taking taylor expansion of -1 in phi2 7.896 * [backup-simplify]: Simplify -1 into -1 7.896 * [taylor]: Taking taylor expansion of phi1 in phi2 7.896 * [backup-simplify]: Simplify phi1 into phi1 7.896 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 7.896 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.896 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 7.896 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.896 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.896 * [taylor]: Taking taylor expansion of -1 in phi2 7.896 * [backup-simplify]: Simplify -1 into -1 7.896 * [taylor]: Taking taylor expansion of phi2 in phi2 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (/ -1 1) into -1 7.897 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.897 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.897 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.897 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.897 * [taylor]: Taking taylor expansion of -1 in phi1 7.897 * [backup-simplify]: Simplify -1 into -1 7.897 * [taylor]: Taking taylor expansion of phi1 in phi1 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify 1 into 1 7.897 * [backup-simplify]: Simplify (/ -1 1) into -1 7.897 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.897 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.897 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.897 * [taylor]: Taking taylor expansion of -1 in phi1 7.897 * [backup-simplify]: Simplify -1 into -1 7.897 * [taylor]: Taking taylor expansion of phi2 in phi1 7.897 * [backup-simplify]: Simplify phi2 into phi2 7.897 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 7.897 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.897 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 7.897 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.897 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.897 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.898 * [taylor]: Taking taylor expansion of -1 in phi1 7.898 * [backup-simplify]: Simplify -1 into -1 7.898 * [taylor]: Taking taylor expansion of phi1 in phi1 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.898 * [backup-simplify]: Simplify (/ -1 1) into -1 7.898 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.898 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.898 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.898 * [taylor]: Taking taylor expansion of -1 in phi1 7.898 * [backup-simplify]: Simplify -1 into -1 7.898 * [taylor]: Taking taylor expansion of phi2 in phi1 7.898 * [backup-simplify]: Simplify phi2 into phi2 7.898 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 7.898 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.898 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 7.898 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 7.898 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 7.898 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 7.898 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.898 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.899 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.899 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.899 * [taylor]: Taking taylor expansion of -1 in phi2 7.899 * [backup-simplify]: Simplify -1 into -1 7.899 * [taylor]: Taking taylor expansion of phi1 in phi2 7.899 * [backup-simplify]: Simplify phi1 into phi1 7.899 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 7.899 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.899 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 7.899 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.899 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.899 * [taylor]: Taking taylor expansion of -1 in phi2 7.899 * [backup-simplify]: Simplify -1 into -1 7.899 * [taylor]: Taking taylor expansion of phi2 in phi2 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ -1 1) into -1 7.899 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.899 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 7.899 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 7.899 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 7.899 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.900 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.900 * [backup-simplify]: Simplify (+ 0) into 0 7.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 7.900 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 7.901 * [backup-simplify]: Simplify (+ 0 0) into 0 7.901 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 7.901 * [taylor]: Taking taylor expansion of 0 in phi2 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (+ 0) into 0 7.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 7.903 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.903 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.904 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.904 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.905 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.905 * [backup-simplify]: Simplify (+ 0 0) into 0 7.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 7.906 * [taylor]: Taking taylor expansion of 0 in phi2 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.907 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 7.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.908 * [backup-simplify]: Simplify (+ 0 0) into 0 7.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 7.908 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 7.912 * [taylor]: Taking taylor expansion of 0 in phi2 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 7.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.913 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.913 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 7.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.913 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.913 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.914 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.914 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.914 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.914 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 7.915 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.915 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 7.915 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.915 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 7.915 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 7.916 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.916 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.916 * [taylor]: Taking taylor expansion of 0 in phi2 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [taylor]: Taking taylor expansion of 0 in lambda1 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [taylor]: Taking taylor expansion of 0 in lambda2 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [taylor]: Taking taylor expansion of 0 in lambda1 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in lambda2 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in lambda2 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in phi2 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in lambda1 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in lambda2 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in lambda1 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [taylor]: Taking taylor expansion of 0 in lambda2 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.918 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.918 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 7.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 7.918 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 7.919 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 7.920 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 7.921 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 7.922 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 7.923 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 7.925 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 7.926 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.927 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 7.927 * [taylor]: Taking taylor expansion of 0 in phi2 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [taylor]: Taking taylor expansion of 0 in lambda1 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [taylor]: Taking taylor expansion of 0 in lambda2 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [taylor]: Taking taylor expansion of 0 in lambda1 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [taylor]: Taking taylor expansion of 0 in lambda2 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [taylor]: Taking taylor expansion of 0 in lambda2 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify 0 into 0 7.927 * [taylor]: Taking taylor expansion of 0 in phi2 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [taylor]: Taking taylor expansion of 0 in lambda1 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [taylor]: Taking taylor expansion of 0 in lambda2 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [taylor]: Taking taylor expansion of 0 in lambda1 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [taylor]: Taking taylor expansion of 0 in lambda2 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.930 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.930 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 7.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 7.931 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 7.932 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 7.934 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 7.935 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 7.936 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 7.937 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 7.938 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 7.940 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 7.941 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 7.941 * [taylor]: Taking taylor expansion of 0 in phi2 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in lambda1 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in lambda2 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in lambda1 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in lambda2 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in lambda2 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify 0 into 0 7.941 * [taylor]: Taking taylor expansion of 0 in phi2 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [taylor]: Taking taylor expansion of 0 in lambda1 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [taylor]: Taking taylor expansion of 0 in lambda2 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [taylor]: Taking taylor expansion of 0 in lambda1 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [taylor]: Taking taylor expansion of 0 in lambda2 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 7.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 7.944 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 7.944 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 7.944 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 7.944 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 7.944 * [taylor]: Taking taylor expansion of phi1 in phi2 7.944 * [backup-simplify]: Simplify phi1 into phi1 7.944 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 7.944 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 7.944 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.944 * [taylor]: Taking taylor expansion of phi2 in phi2 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.944 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.944 * [taylor]: Taking taylor expansion of phi1 in phi1 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 1 into 1 7.944 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.944 * [taylor]: Taking taylor expansion of phi2 in phi1 7.944 * [backup-simplify]: Simplify phi2 into phi2 7.944 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 7.944 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 7.944 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 7.944 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 7.945 * [taylor]: Taking taylor expansion of phi1 in phi1 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.945 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 7.945 * [taylor]: Taking taylor expansion of phi2 in phi1 7.945 * [backup-simplify]: Simplify phi2 into phi2 7.945 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 7.945 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 7.945 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 7.945 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 7.945 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 7.945 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 7.945 * [taylor]: Taking taylor expansion of 0 in phi2 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify (+ 0) into 0 7.950 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 7.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.951 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 7.952 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 7.953 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.953 * [taylor]: Taking taylor expansion of phi2 in phi2 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.955 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 7.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.956 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 7.956 * [backup-simplify]: Simplify (+ 0 0) into 0 7.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 7.957 * [taylor]: Taking taylor expansion of 0 in phi2 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify 0 into 0 7.957 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.957 * [backup-simplify]: Simplify 1 into 1 7.957 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.958 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.960 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.960 * [backup-simplify]: Simplify (+ 0 0) into 0 7.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 7.961 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 7.962 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 7.962 * [taylor]: Taking taylor expansion of 1/6 in phi2 7.962 * [backup-simplify]: Simplify 1/6 into 1/6 7.962 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 7.962 * [taylor]: Taking taylor expansion of phi2 in phi2 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (* 1/6 0) into 0 7.962 * [backup-simplify]: Simplify (- 0) into 0 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.964 * [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 7.965 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.966 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.967 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 7.968 * [taylor]: Taking taylor expansion of 0 in phi2 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 7.969 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.969 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 7.969 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 7.969 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.969 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.969 * [taylor]: Taking taylor expansion of phi2 in phi2 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 1 into 1 7.969 * [backup-simplify]: Simplify (/ 1 1) into 1 7.970 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.970 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.970 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.970 * [taylor]: Taking taylor expansion of phi1 in phi2 7.970 * [backup-simplify]: Simplify phi1 into phi1 7.970 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 7.970 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.970 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 7.970 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 7.970 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.970 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.970 * [taylor]: Taking taylor expansion of phi2 in phi1 7.970 * [backup-simplify]: Simplify phi2 into phi2 7.970 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 7.970 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.970 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 7.970 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.970 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.970 * [taylor]: Taking taylor expansion of phi1 in phi1 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (/ 1 1) into 1 7.971 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.971 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 7.971 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 7.971 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 7.971 * [taylor]: Taking taylor expansion of phi2 in phi1 7.971 * [backup-simplify]: Simplify phi2 into phi2 7.971 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 7.971 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.971 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 7.971 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 7.971 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 7.971 * [taylor]: Taking taylor expansion of phi1 in phi1 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (/ 1 1) into 1 7.972 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.972 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 7.972 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 7.972 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 7.972 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.973 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 7.973 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 7.973 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 7.973 * [taylor]: Taking taylor expansion of phi2 in phi2 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ 1 1) into 1 7.973 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 7.973 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 7.973 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 7.973 * [taylor]: Taking taylor expansion of phi1 in phi2 7.973 * [backup-simplify]: Simplify phi1 into phi1 7.973 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 7.973 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 7.973 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 7.974 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 7.974 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 7.974 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 7.974 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.974 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 7.975 * [backup-simplify]: Simplify (+ 0) into 0 7.975 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 7.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.977 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 7.977 * [backup-simplify]: Simplify (+ 0 0) into 0 7.977 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 7.977 * [taylor]: Taking taylor expansion of 0 in phi2 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify (+ 0) into 0 7.978 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 7.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 7.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.979 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 7.980 * [backup-simplify]: Simplify (+ 0 0) into 0 7.980 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 7.980 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.983 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.983 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.984 * [backup-simplify]: Simplify (+ 0 0) into 0 7.984 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 7.984 * [taylor]: Taking taylor expansion of 0 in phi2 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 7.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.987 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.988 * [backup-simplify]: Simplify (+ 0 0) into 0 7.988 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 7.992 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.993 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.993 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 7.994 * [taylor]: Taking taylor expansion of 0 in phi2 7.994 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 7.995 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.995 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 7.995 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.995 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.995 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.995 * [taylor]: Taking taylor expansion of -1 in phi2 7.995 * [backup-simplify]: Simplify -1 into -1 7.995 * [taylor]: Taking taylor expansion of phi1 in phi2 7.995 * [backup-simplify]: Simplify phi1 into phi1 7.995 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 7.995 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.995 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 7.995 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 7.995 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 7.995 * [taylor]: Taking taylor expansion of -1 in phi2 7.995 * [backup-simplify]: Simplify -1 into -1 7.995 * [taylor]: Taking taylor expansion of phi2 in phi2 7.995 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [backup-simplify]: Simplify (/ -1 1) into -1 7.996 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.996 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.996 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.996 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.996 * [taylor]: Taking taylor expansion of -1 in phi1 7.996 * [backup-simplify]: Simplify -1 into -1 7.996 * [taylor]: Taking taylor expansion of phi1 in phi1 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.997 * [backup-simplify]: Simplify (/ -1 1) into -1 7.997 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.997 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.997 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.997 * [taylor]: Taking taylor expansion of -1 in phi1 7.997 * [backup-simplify]: Simplify -1 into -1 7.997 * [taylor]: Taking taylor expansion of phi2 in phi1 7.997 * [backup-simplify]: Simplify phi2 into phi2 7.997 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 7.997 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.997 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 7.997 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 7.997 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 7.998 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 7.998 * [taylor]: Taking taylor expansion of -1 in phi1 7.998 * [backup-simplify]: Simplify -1 into -1 7.998 * [taylor]: Taking taylor expansion of phi1 in phi1 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (/ -1 1) into -1 7.998 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 7.998 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 7.998 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 7.998 * [taylor]: Taking taylor expansion of -1 in phi1 7.998 * [backup-simplify]: Simplify -1 into -1 7.998 * [taylor]: Taking taylor expansion of phi2 in phi1 7.998 * [backup-simplify]: Simplify phi2 into phi2 7.998 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 7.999 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 7.999 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 7.999 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 7.999 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 7.999 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 7.999 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 7.999 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 7.999 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 7.999 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 7.999 * [taylor]: Taking taylor expansion of -1 in phi2 7.999 * [backup-simplify]: Simplify -1 into -1 7.999 * [taylor]: Taking taylor expansion of phi1 in phi2 7.999 * [backup-simplify]: Simplify phi1 into phi1 8.000 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 8.000 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 8.000 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 8.000 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 8.000 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 8.000 * [taylor]: Taking taylor expansion of -1 in phi2 8.000 * [backup-simplify]: Simplify -1 into -1 8.000 * [taylor]: Taking taylor expansion of phi2 in phi2 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (/ -1 1) into -1 8.000 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 8.001 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 8.001 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 8.001 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 8.001 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.001 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 8.001 * [backup-simplify]: Simplify (+ 0) into 0 8.002 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 8.002 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 8.003 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 8.004 * [backup-simplify]: Simplify (+ 0 0) into 0 8.004 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 8.004 * [taylor]: Taking taylor expansion of 0 in phi2 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.004 * [backup-simplify]: Simplify (+ 0) into 0 8.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 8.005 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 8.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 8.007 * [backup-simplify]: Simplify (+ 0 0) into 0 8.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 8.007 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 8.009 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.010 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 8.011 * [backup-simplify]: Simplify (+ 0 0) into 0 8.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 8.012 * [taylor]: Taking taylor expansion of 0 in phi2 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 8.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 8.014 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 8.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 8.015 * [backup-simplify]: Simplify (+ 0 0) into 0 8.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 8.016 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 8.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 8.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 8.021 * [backup-simplify]: Simplify (+ 0 0) into 0 8.022 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 8.022 * [taylor]: Taking taylor expansion of 0 in phi2 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 8.022 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.023 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.023 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 8.023 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 8.023 * [taylor]: Taking taylor expansion of R in R 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 1 into 1 8.023 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 8.024 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.024 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 8.024 * [taylor]: Taking taylor expansion of R in lambda2 8.024 * [backup-simplify]: Simplify R into R 8.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.025 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.025 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 8.025 * [taylor]: Taking taylor expansion of R in lambda1 8.025 * [backup-simplify]: Simplify R into R 8.025 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.026 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.026 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 8.026 * [taylor]: Taking taylor expansion of R in phi2 8.026 * [backup-simplify]: Simplify R into R 8.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.027 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.027 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 8.027 * [taylor]: Taking taylor expansion of R in phi1 8.027 * [backup-simplify]: Simplify R into R 8.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.027 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.028 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 8.028 * [taylor]: Taking taylor expansion of R in phi1 8.028 * [backup-simplify]: Simplify R into R 8.028 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 8.028 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.029 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.029 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 8.029 * [taylor]: Taking taylor expansion of R in phi2 8.029 * [backup-simplify]: Simplify R into R 8.029 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 8.030 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.031 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.031 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 8.031 * [taylor]: Taking taylor expansion of R in lambda1 8.031 * [backup-simplify]: Simplify R into R 8.031 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 8.032 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.033 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.033 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 8.033 * [taylor]: Taking taylor expansion of R in lambda2 8.033 * [backup-simplify]: Simplify R into R 8.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 8.034 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.035 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.035 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 8.035 * [taylor]: Taking taylor expansion of R in R 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 8.036 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.036 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 8.036 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.037 * [taylor]: Taking taylor expansion of 0 in phi2 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [taylor]: Taking taylor expansion of 0 in lambda1 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [taylor]: Taking taylor expansion of 0 in lambda2 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [taylor]: Taking taylor expansion of 0 in R 8.037 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify 0 into 0 8.038 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.038 * [taylor]: Taking taylor expansion of 0 in lambda1 8.038 * [backup-simplify]: Simplify 0 into 0 8.038 * [taylor]: Taking taylor expansion of 0 in lambda2 8.038 * [backup-simplify]: Simplify 0 into 0 8.039 * [taylor]: Taking taylor expansion of 0 in R 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.039 * [taylor]: Taking taylor expansion of 0 in lambda2 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [taylor]: Taking taylor expansion of 0 in R 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 8.040 * [taylor]: Taking taylor expansion of 0 in R 8.041 * [backup-simplify]: Simplify 0 into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.043 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.044 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.044 * [taylor]: Taking taylor expansion of 0 in phi2 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [taylor]: Taking taylor expansion of 0 in lambda1 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [taylor]: Taking taylor expansion of 0 in lambda2 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [taylor]: Taking taylor expansion of 0 in R 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [taylor]: Taking taylor expansion of 0 in lambda1 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [taylor]: Taking taylor expansion of 0 in lambda2 8.044 * [backup-simplify]: Simplify 0 into 0 8.045 * [taylor]: Taking taylor expansion of 0 in R 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.046 * [taylor]: Taking taylor expansion of 0 in lambda1 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [taylor]: Taking taylor expansion of 0 in lambda2 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [taylor]: Taking taylor expansion of 0 in R 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [taylor]: Taking taylor expansion of 0 in lambda2 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [taylor]: Taking taylor expansion of 0 in R 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [taylor]: Taking taylor expansion of 0 in lambda2 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [taylor]: Taking taylor expansion of 0 in R 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 8.048 * [taylor]: Taking taylor expansion of 0 in lambda2 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [taylor]: Taking taylor expansion of 0 in R 8.048 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify 0 into 0 8.049 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.050 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.050 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 8.051 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 8.051 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 8.052 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.052 * [taylor]: Taking taylor expansion of R in R 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.053 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 8.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 8.054 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.054 * [taylor]: Taking taylor expansion of R in lambda2 8.054 * [backup-simplify]: Simplify R into R 8.055 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.055 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 8.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 8.056 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.057 * [taylor]: Taking taylor expansion of R in lambda1 8.057 * [backup-simplify]: Simplify R into R 8.058 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.058 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 8.058 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 8.059 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.059 * [taylor]: Taking taylor expansion of R in phi2 8.059 * [backup-simplify]: Simplify R into R 8.060 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.060 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 8.060 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 8.061 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.061 * [taylor]: Taking taylor expansion of R in phi1 8.061 * [backup-simplify]: Simplify R into R 8.062 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.062 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 8.062 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 8.063 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.063 * [taylor]: Taking taylor expansion of R in phi1 8.063 * [backup-simplify]: Simplify R into R 8.064 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.065 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 8.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 8.066 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.066 * [taylor]: Taking taylor expansion of R in phi2 8.066 * [backup-simplify]: Simplify R into R 8.067 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.067 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 8.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 8.068 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.068 * [taylor]: Taking taylor expansion of R in lambda1 8.068 * [backup-simplify]: Simplify R into R 8.069 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.069 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 8.069 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 8.070 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.070 * [taylor]: Taking taylor expansion of R in lambda2 8.070 * [backup-simplify]: Simplify R into R 8.071 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 8.071 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 8.071 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 8.072 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.072 * [taylor]: Taking taylor expansion of R in R 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.073 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 8.074 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.074 * [taylor]: Taking taylor expansion of 0 in phi2 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [taylor]: Taking taylor expansion of 0 in lambda1 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [taylor]: Taking taylor expansion of 0 in lambda2 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [taylor]: Taking taylor expansion of 0 in R 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.074 * [taylor]: Taking taylor expansion of 0 in lambda1 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [taylor]: Taking taylor expansion of 0 in lambda2 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [taylor]: Taking taylor expansion of 0 in R 8.074 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.075 * [taylor]: Taking taylor expansion of 0 in lambda2 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [taylor]: Taking taylor expansion of 0 in R 8.075 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 8.076 * [taylor]: Taking taylor expansion of 0 in R 8.076 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.078 * [taylor]: Taking taylor expansion of 0 in phi2 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [taylor]: Taking taylor expansion of 0 in lambda1 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [taylor]: Taking taylor expansion of 0 in lambda2 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [taylor]: Taking taylor expansion of 0 in R 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [taylor]: Taking taylor expansion of 0 in lambda1 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [taylor]: Taking taylor expansion of 0 in lambda2 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [taylor]: Taking taylor expansion of 0 in R 8.078 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.079 * [taylor]: Taking taylor expansion of 0 in lambda1 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [taylor]: Taking taylor expansion of 0 in lambda2 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [taylor]: Taking taylor expansion of 0 in R 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [taylor]: Taking taylor expansion of 0 in lambda2 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [taylor]: Taking taylor expansion of 0 in R 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [taylor]: Taking taylor expansion of 0 in lambda2 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [taylor]: Taking taylor expansion of 0 in R 8.079 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.080 * [taylor]: Taking taylor expansion of 0 in lambda2 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [taylor]: Taking taylor expansion of 0 in R 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [taylor]: Taking taylor expansion of 0 in R 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [taylor]: Taking taylor expansion of 0 in R 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [taylor]: Taking taylor expansion of 0 in R 8.080 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.081 * [taylor]: Taking taylor expansion of 0 in R 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.083 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 8.085 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 8.085 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 8.085 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 8.085 * [taylor]: Taking taylor expansion of -1 in R 8.085 * [backup-simplify]: Simplify -1 into -1 8.085 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 8.085 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 8.085 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.085 * [taylor]: Taking taylor expansion of R in R 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.086 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.086 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 8.086 * [taylor]: Taking taylor expansion of -1 in lambda2 8.086 * [backup-simplify]: Simplify -1 into -1 8.086 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 8.086 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 8.087 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.087 * [taylor]: Taking taylor expansion of R in lambda2 8.087 * [backup-simplify]: Simplify R into R 8.087 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.087 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 8.087 * [taylor]: Taking taylor expansion of -1 in lambda1 8.087 * [backup-simplify]: Simplify -1 into -1 8.087 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 8.087 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.088 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.088 * [taylor]: Taking taylor expansion of R in lambda1 8.088 * [backup-simplify]: Simplify R into R 8.088 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.088 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 8.088 * [taylor]: Taking taylor expansion of -1 in phi2 8.088 * [backup-simplify]: Simplify -1 into -1 8.088 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 8.088 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 8.089 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.089 * [taylor]: Taking taylor expansion of R in phi2 8.089 * [backup-simplify]: Simplify R into R 8.090 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.090 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 8.090 * [taylor]: Taking taylor expansion of -1 in phi1 8.090 * [backup-simplify]: Simplify -1 into -1 8.090 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 8.090 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 8.090 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.090 * [taylor]: Taking taylor expansion of R in phi1 8.090 * [backup-simplify]: Simplify R into R 8.092 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.092 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 8.092 * [taylor]: Taking taylor expansion of -1 in phi1 8.092 * [backup-simplify]: Simplify -1 into -1 8.092 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 8.092 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 8.093 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.093 * [taylor]: Taking taylor expansion of R in phi1 8.093 * [backup-simplify]: Simplify R into R 8.093 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.094 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 8.094 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 8.094 * [taylor]: Taking taylor expansion of -1 in phi2 8.094 * [backup-simplify]: Simplify -1 into -1 8.094 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 8.094 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 8.095 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.095 * [taylor]: Taking taylor expansion of R in phi2 8.095 * [backup-simplify]: Simplify R into R 8.095 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 8.096 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 8.096 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 8.096 * [taylor]: Taking taylor expansion of -1 in lambda1 8.096 * [backup-simplify]: Simplify -1 into -1 8.096 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 8.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.096 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.096 * [taylor]: Taking taylor expansion of R in lambda1 8.096 * [backup-simplify]: Simplify R into R 8.097 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 8.098 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 8.098 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 8.098 * [taylor]: Taking taylor expansion of -1 in lambda2 8.098 * [backup-simplify]: Simplify -1 into -1 8.098 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 8.098 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 8.098 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.098 * [taylor]: Taking taylor expansion of R in lambda2 8.098 * [backup-simplify]: Simplify R into R 8.099 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 8.099 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 8.099 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 8.099 * [taylor]: Taking taylor expansion of -1 in R 8.099 * [backup-simplify]: Simplify -1 into -1 8.099 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 8.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 8.100 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 8.100 * [taylor]: Taking taylor expansion of R in R 8.100 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify 1 into 1 8.101 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 8.101 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 8.102 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 8.102 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 8.105 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 8.105 * [taylor]: Taking taylor expansion of 0 in phi2 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [taylor]: Taking taylor expansion of 0 in lambda1 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [taylor]: Taking taylor expansion of 0 in lambda2 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [taylor]: Taking taylor expansion of 0 in R 8.105 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 8.108 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 8.108 * [taylor]: Taking taylor expansion of 0 in lambda1 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [taylor]: Taking taylor expansion of 0 in lambda2 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [taylor]: Taking taylor expansion of 0 in R 8.108 * [backup-simplify]: Simplify 0 into 0 8.110 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 8.111 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 8.111 * [taylor]: Taking taylor expansion of 0 in lambda2 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [taylor]: Taking taylor expansion of 0 in R 8.111 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 8.115 * [taylor]: Taking taylor expansion of 0 in R 8.115 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 8.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.120 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.122 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 8.122 * [taylor]: Taking taylor expansion of 0 in phi2 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [taylor]: Taking taylor expansion of 0 in lambda1 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [taylor]: Taking taylor expansion of 0 in lambda2 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [taylor]: Taking taylor expansion of 0 in R 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [taylor]: Taking taylor expansion of 0 in lambda1 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [taylor]: Taking taylor expansion of 0 in lambda2 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [taylor]: Taking taylor expansion of 0 in R 8.122 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 8.126 * [taylor]: Taking taylor expansion of 0 in lambda1 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [taylor]: Taking taylor expansion of 0 in lambda2 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [taylor]: Taking taylor expansion of 0 in R 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [taylor]: Taking taylor expansion of 0 in lambda2 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [taylor]: Taking taylor expansion of 0 in R 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [taylor]: Taking taylor expansion of 0 in lambda2 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [taylor]: Taking taylor expansion of 0 in R 8.126 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.130 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 8.130 * [taylor]: Taking taylor expansion of 0 in lambda2 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [taylor]: Taking taylor expansion of 0 in R 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [taylor]: Taking taylor expansion of 0 in R 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [taylor]: Taking taylor expansion of 0 in R 8.130 * [backup-simplify]: Simplify 0 into 0 8.130 * [taylor]: Taking taylor expansion of 0 in R 8.130 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 8.134 * [taylor]: Taking taylor expansion of 0 in R 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 8.139 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.142 * * * [progress]: simplifying candidates 8.144 * [simplify]: Simplifying: (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log 1) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (log (exp (* (sin phi1) (sin phi2))))) (exp (log (exp (* (sin phi1) (sin phi2))))) (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))) (* (* (log (exp (* (sin phi1) (sin phi2)))) (log (exp (* (sin phi1) (sin phi2))))) (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (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 (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.147 * * [simplify]: iteration 0: 119 enodes 8.182 * * [simplify]: iteration 1: 228 enodes 8.239 * * [simplify]: iteration 2: 730 enodes 8.839 * * [simplify]: iteration 3: 4382 enodes 11.464 * * [simplify]: iteration complete: 5000 enodes 11.465 * * [simplify]: Extracting #0: cost 40 inf + 0 11.466 * * [simplify]: Extracting #1: cost 276 inf + 1 11.469 * * [simplify]: Extracting #2: cost 676 inf + 2681 11.485 * * [simplify]: Extracting #3: cost 424 inf + 62105 11.510 * * [simplify]: Extracting #4: cost 296 inf + 84723 11.535 * * [simplify]: Extracting #5: cost 282 inf + 86299 11.564 * * [simplify]: Extracting #6: cost 258 inf + 94321 11.584 * * [simplify]: Extracting #7: cost 224 inf + 122760 11.626 * * [simplify]: Extracting #8: cost 65 inf + 272514 11.710 * * [simplify]: Extracting #9: cost 0 inf + 335933 11.782 * * [simplify]: Extracting #10: cost 0 inf + 335409 11.850 * [simplify]: Simplified to: (log (* (cbrt (exp (* (sin phi2) (sin phi1)))) (cbrt (exp (* (sin phi2) (sin phi1)))))) (log (cbrt (exp (* (sin phi2) (sin phi1))))) (log (sqrt (exp (* (sin phi2) (sin phi1))))) (log (sqrt (exp (* (sin phi2) (sin phi1))))) 0 (* (sin phi2) (sin phi1)) (sin phi1) (* (sin phi2) (sin phi1)) (sin phi1) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (/ PI 2) (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (* (cbrt (sin phi2)) (sin phi1)) (cbrt (sin phi2))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi2) (sin phi1)) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (log (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (exp (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (* (cbrt (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (cbrt (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (sqrt (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (sqrt (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (* (cbrt R) (cbrt R))) (* (sqrt R) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) R) (* R (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) 11.858 * * * [progress]: adding candidates to table 12.643 * * [progress]: iteration 4 / 4 12.643 * * * [progress]: picking best candidate 12.853 * * * * [pick]: Picked # 12.853 * * * [progress]: localizing error 12.965 * * * [progress]: generating rewritten candidates 12.965 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 12.970 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 12.983 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 12.988 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) 13.005 * * * [progress]: generating series expansions 13.005 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 13.005 * [backup-simplify]: Simplify (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.005 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 lambda1 lambda2 phi1) around 0 13.005 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 13.006 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.006 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 13.006 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.006 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 13.006 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.006 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 13.007 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.007 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 13.007 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.007 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 13.008 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.008 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 13.008 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.008 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 13.009 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.009 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.009 * [taylor]: Taking taylor expansion of 0 in lambda1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in lambda2 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in phi1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in lambda2 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in phi1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in phi1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in lambda1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in lambda2 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in phi1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in lambda2 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [taylor]: Taking taylor expansion of 0 in phi1 13.009 * [backup-simplify]: Simplify 0 into 0 13.009 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.010 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.010 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi2 lambda1 lambda2 phi1) around 0 13.010 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.011 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.011 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.012 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.012 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.013 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.013 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.014 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.015 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.016 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.016 * [taylor]: Taking taylor expansion of 0 in lambda1 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in lambda2 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in phi1 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in lambda2 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in phi1 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in phi1 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in lambda1 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in lambda2 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [taylor]: Taking taylor expansion of 0 in phi1 13.016 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify 0 into 0 13.017 * [taylor]: Taking taylor expansion of 0 in lambda2 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [taylor]: Taking taylor expansion of 0 in phi1 13.017 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify 0 into 0 13.018 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.019 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.019 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 lambda1 lambda2 phi1) around 0 13.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.020 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.021 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.022 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.022 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.023 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.023 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.024 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.024 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 13.026 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.026 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.027 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.027 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 13.028 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.029 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.029 * [taylor]: Taking taylor expansion of 0 in lambda1 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [taylor]: Taking taylor expansion of 0 in lambda2 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [taylor]: Taking taylor expansion of 0 in phi1 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [taylor]: Taking taylor expansion of 0 in lambda2 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [taylor]: Taking taylor expansion of 0 in phi1 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [taylor]: Taking taylor expansion of 0 in phi1 13.029 * [backup-simplify]: Simplify 0 into 0 13.029 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [taylor]: Taking taylor expansion of 0 in lambda1 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [taylor]: Taking taylor expansion of 0 in lambda2 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [taylor]: Taking taylor expansion of 0 in phi1 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [taylor]: Taking taylor expansion of 0 in lambda2 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [taylor]: Taking taylor expansion of 0 in phi1 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 0 into 0 13.031 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.032 * [backup-simplify]: Simplify (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.032 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi2 lambda1 lambda2 phi1) around 0 13.032 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 13.033 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 13.034 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 13.035 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 13.035 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 13.036 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.036 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 13.037 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 13.038 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.038 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 13.039 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.039 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.040 * [taylor]: Taking taylor expansion of 0 in lambda1 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in lambda2 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in phi1 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in lambda2 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in phi1 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in phi1 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in lambda1 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in lambda2 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in phi1 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [taylor]: Taking taylor expansion of 0 in lambda2 13.040 * [backup-simplify]: Simplify 0 into 0 13.041 * [taylor]: Taking taylor expansion of 0 in phi1 13.041 * [backup-simplify]: Simplify 0 into 0 13.041 * [backup-simplify]: Simplify 0 into 0 13.041 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.043 * [backup-simplify]: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.043 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi2 lambda1 lambda2 phi1) around 0 13.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.044 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.045 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.045 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.046 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.047 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.047 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.047 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.048 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.049 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.049 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.049 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.050 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.050 * [taylor]: Taking taylor expansion of 0 in lambda1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in lambda2 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in phi1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in lambda2 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in phi1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in phi1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in lambda1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in lambda2 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in phi1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in lambda2 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [taylor]: Taking taylor expansion of 0 in phi1 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 0 into 0 13.051 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.051 * [backup-simplify]: Simplify (log (exp (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.052 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 lambda1 lambda2 phi1) around 0 13.052 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.052 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.052 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.053 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.053 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.053 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.054 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.054 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.054 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.054 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 13.055 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.055 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.055 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 13.056 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.056 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.057 * [taylor]: Taking taylor expansion of 0 in lambda1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in lambda2 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in phi1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in lambda2 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in phi1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in phi1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in lambda1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in lambda2 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in phi1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in lambda2 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [taylor]: Taking taylor expansion of 0 in phi1 13.057 * [backup-simplify]: Simplify 0 into 0 13.057 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.058 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 13.058 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.058 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi2 lambda1 lambda2 phi1) around 0 13.058 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 13.058 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 13.059 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.059 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.059 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 13.059 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 13.060 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.060 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.060 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 13.060 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 13.060 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.061 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.061 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 13.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 13.061 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.062 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.062 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 13.062 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 13.062 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.063 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.063 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 13.063 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 13.063 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.063 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.063 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 13.063 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 13.064 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.064 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.064 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 13.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 13.065 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.065 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.065 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.067 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.067 * [taylor]: Taking taylor expansion of 0 in lambda1 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [taylor]: Taking taylor expansion of 0 in lambda2 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [taylor]: Taking taylor expansion of 0 in phi1 13.067 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.068 * [taylor]: Taking taylor expansion of 0 in lambda2 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [taylor]: Taking taylor expansion of 0 in phi1 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.069 * [taylor]: Taking taylor expansion of 0 in phi1 13.069 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.070 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.071 * [taylor]: Taking taylor expansion of 0 in lambda1 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [taylor]: Taking taylor expansion of 0 in lambda2 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [taylor]: Taking taylor expansion of 0 in phi1 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [taylor]: Taking taylor expansion of 0 in lambda2 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [taylor]: Taking taylor expansion of 0 in phi1 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 0 into 0 13.072 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.072 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi2)) (sin (/ 1 phi1)))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.072 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi2 lambda1 lambda2 phi1) around 0 13.072 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 13.072 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.073 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.073 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.074 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 13.074 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.074 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.075 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.075 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 13.075 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.075 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.076 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.076 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 13.076 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.076 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.077 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.077 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 13.077 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.077 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.078 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.078 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 13.078 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.079 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.079 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.079 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 13.079 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.080 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.080 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.080 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 13.080 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.081 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.081 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.082 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.083 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.083 * [taylor]: Taking taylor expansion of 0 in lambda1 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [taylor]: Taking taylor expansion of 0 in lambda2 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [taylor]: Taking taylor expansion of 0 in phi1 13.083 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify 0 into 0 13.084 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.084 * [taylor]: Taking taylor expansion of 0 in lambda2 13.084 * [backup-simplify]: Simplify 0 into 0 13.084 * [taylor]: Taking taylor expansion of 0 in phi1 13.084 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify 0 into 0 13.086 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.086 * [taylor]: Taking taylor expansion of 0 in phi1 13.086 * [backup-simplify]: Simplify 0 into 0 13.086 * [backup-simplify]: Simplify 0 into 0 13.087 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.087 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.088 * [taylor]: Taking taylor expansion of 0 in lambda1 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [taylor]: Taking taylor expansion of 0 in lambda2 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [taylor]: Taking taylor expansion of 0 in phi1 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [taylor]: Taking taylor expansion of 0 in lambda2 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [taylor]: Taking taylor expansion of 0 in phi1 13.088 * [backup-simplify]: Simplify 0 into 0 13.088 * [backup-simplify]: Simplify 0 into 0 13.089 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.089 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.089 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi2 lambda1 lambda2 phi1) around 0 13.089 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 13.090 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.090 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.091 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.091 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 13.091 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.092 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.093 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.093 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 13.093 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.094 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.095 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.095 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 13.095 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.096 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.097 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.097 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 13.097 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.098 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.099 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.100 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 13.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.101 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.102 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.102 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 13.102 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.103 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.104 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.104 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 13.104 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.107 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.108 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.109 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 13.111 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.111 * [taylor]: Taking taylor expansion of 0 in lambda1 13.111 * [backup-simplify]: Simplify 0 into 0 13.111 * [taylor]: Taking taylor expansion of 0 in lambda2 13.111 * [backup-simplify]: Simplify 0 into 0 13.112 * [taylor]: Taking taylor expansion of 0 in phi1 13.112 * [backup-simplify]: Simplify 0 into 0 13.112 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.114 * [taylor]: Taking taylor expansion of 0 in lambda2 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [taylor]: Taking taylor expansion of 0 in phi1 13.114 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.116 * [taylor]: Taking taylor expansion of 0 in phi1 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 0 into 0 13.118 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.118 * [backup-simplify]: Simplify 0 into 0 13.121 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.121 * [taylor]: Taking taylor expansion of 0 in lambda1 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [taylor]: Taking taylor expansion of 0 in lambda2 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [taylor]: Taking taylor expansion of 0 in phi1 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [taylor]: Taking taylor expansion of 0 in lambda2 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [taylor]: Taking taylor expansion of 0 in phi1 13.121 * [backup-simplify]: Simplify 0 into 0 13.121 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.123 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2) 13.123 * [backup-simplify]: Simplify (* (sin phi2) (sin phi1)) into (* (sin phi1) (sin phi2)) 13.123 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi2 phi1) around 0 13.123 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 13.123 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 13.123 * [taylor]: Taking taylor expansion of phi1 in phi1 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 13.123 * [taylor]: Taking taylor expansion of phi2 in phi1 13.123 * [backup-simplify]: Simplify phi2 into phi2 13.123 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 13.123 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 13.123 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 13.123 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 13.123 * [taylor]: Taking taylor expansion of phi1 in phi2 13.123 * [backup-simplify]: Simplify phi1 into phi1 13.124 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 13.124 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 13.124 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 13.124 * [taylor]: Taking taylor expansion of phi2 in phi2 13.124 * [backup-simplify]: Simplify 0 into 0 13.124 * [backup-simplify]: Simplify 1 into 1 13.124 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 13.124 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 13.124 * [taylor]: Taking taylor expansion of phi1 in phi2 13.124 * [backup-simplify]: Simplify phi1 into phi1 13.124 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 13.124 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 13.124 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 13.124 * [taylor]: Taking taylor expansion of phi2 in phi2 13.124 * [backup-simplify]: Simplify 0 into 0 13.124 * [backup-simplify]: Simplify 1 into 1 13.124 * [backup-simplify]: Simplify (* (sin phi1) 1) into (sin phi1) 13.124 * [backup-simplify]: Simplify (* (cos phi1) 0) into 0 13.124 * [backup-simplify]: Simplify (+ (sin phi1) 0) into (sin phi1) 13.124 * [backup-simplify]: Simplify (* (sin phi1) 0) into 0 13.124 * [taylor]: Taking taylor expansion of 0 in phi1 13.124 * [backup-simplify]: Simplify 0 into 0 13.124 * [backup-simplify]: Simplify 0 into 0 13.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 13.126 * [backup-simplify]: Simplify (+ 0) into 0 13.126 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (* 0 1)) into 0 13.127 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.128 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (* 0 0)) into 0 13.128 * [backup-simplify]: Simplify (+ 0 0) into 0 13.128 * [backup-simplify]: Simplify (+ (* (sin phi1) 1) (* 0 0)) into (sin phi1) 13.128 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 13.128 * [taylor]: Taking taylor expansion of phi1 in phi1 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 1 into 1 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.131 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (* 0 1))) into 0 13.132 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.132 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (* 0 0))) into 0 13.133 * [backup-simplify]: Simplify (+ 0 0) into 0 13.133 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 1) (* 0 0))) into 0 13.133 * [taylor]: Taking taylor expansion of 0 in phi1 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 13.134 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify 0 into 0 13.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 13.137 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.137 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.139 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.140 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.140 * [backup-simplify]: Simplify (+ 0 0) into 0 13.141 * [backup-simplify]: Simplify (+ (* (sin phi1) -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (sin phi1))) 13.141 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi1))) in phi1 13.141 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi1)) in phi1 13.141 * [taylor]: Taking taylor expansion of 1/6 in phi1 13.141 * [backup-simplify]: Simplify 1/6 into 1/6 13.141 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 13.141 * [taylor]: Taking taylor expansion of phi1 in phi1 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.142 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.142 * [backup-simplify]: Simplify (- 0) into 0 13.142 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify 0 into 0 13.143 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.143 * [backup-simplify]: Simplify 0 into 0 13.143 * [backup-simplify]: Simplify 0 into 0 13.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.146 * [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 13.148 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.149 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.150 * [backup-simplify]: Simplify (+ (* (cos phi1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.150 * [backup-simplify]: Simplify (+ 0 0) into 0 13.151 * [backup-simplify]: Simplify (+ (* (sin phi1) 0) (+ (* 0 -1/6) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.151 * [taylor]: Taking taylor expansion of 0 in phi1 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify (* 1 (* phi1 phi2)) into (* phi1 phi2) 13.152 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.152 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi2 phi1) around 0 13.152 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 13.152 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 13.152 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 13.152 * [taylor]: Taking taylor expansion of phi2 in phi1 13.152 * [backup-simplify]: Simplify phi2 into phi2 13.152 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 13.152 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.152 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 13.152 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 13.152 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 13.152 * [taylor]: Taking taylor expansion of phi1 in phi1 13.152 * [backup-simplify]: Simplify 0 into 0 13.152 * [backup-simplify]: Simplify 1 into 1 13.152 * [backup-simplify]: Simplify (/ 1 1) into 1 13.153 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.153 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 13.153 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 13.153 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 13.153 * [taylor]: Taking taylor expansion of phi2 in phi2 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.153 * [backup-simplify]: Simplify (/ 1 1) into 1 13.153 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.153 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 13.153 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 13.153 * [taylor]: Taking taylor expansion of phi1 in phi2 13.153 * [backup-simplify]: Simplify phi1 into phi1 13.153 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 13.153 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.154 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 13.154 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 13.154 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 13.154 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 13.154 * [taylor]: Taking taylor expansion of phi2 in phi2 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.154 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.154 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 13.154 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 13.154 * [taylor]: Taking taylor expansion of phi1 in phi2 13.154 * [backup-simplify]: Simplify phi1 into phi1 13.154 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 13.154 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.154 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 13.155 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 13.155 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 13.155 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 13.155 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.155 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 13.155 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 13.155 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 13.155 * [taylor]: Taking taylor expansion of phi2 in phi1 13.155 * [backup-simplify]: Simplify phi2 into phi2 13.155 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 13.155 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.155 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 13.155 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 13.155 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 13.155 * [taylor]: Taking taylor expansion of phi1 in phi1 13.155 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify 1 into 1 13.156 * [backup-simplify]: Simplify (/ 1 1) into 1 13.156 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.156 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 13.156 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 13.156 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 13.157 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.157 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.157 * [backup-simplify]: Simplify (+ 0) into 0 13.158 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 13.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 13.159 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.160 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 13.160 * [backup-simplify]: Simplify (+ 0 0) into 0 13.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 13.160 * [taylor]: Taking taylor expansion of 0 in phi1 13.160 * [backup-simplify]: Simplify 0 into 0 13.160 * [backup-simplify]: Simplify 0 into 0 13.161 * [backup-simplify]: Simplify (+ 0) into 0 13.161 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 13.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 13.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 13.162 * [backup-simplify]: Simplify (+ 0 0) into 0 13.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.164 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 13.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 13.164 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.165 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.166 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 13.166 * [taylor]: Taking taylor expansion of 0 in phi1 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 13.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 13.167 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 13.168 * [backup-simplify]: Simplify (+ 0 0) into 0 13.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 13.168 * [backup-simplify]: Simplify 0 into 0 13.169 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.170 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 13.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.171 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.171 * [backup-simplify]: Simplify (+ 0 0) into 0 13.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 13.172 * [taylor]: Taking taylor expansion of 0 in phi1 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 13.172 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi2))) (sin (/ 1 (- phi1)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.172 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi2 phi1) around 0 13.172 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 13.172 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 13.172 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 13.172 * [taylor]: Taking taylor expansion of -1 in phi1 13.172 * [backup-simplify]: Simplify -1 into -1 13.172 * [taylor]: Taking taylor expansion of phi1 in phi1 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 1 into 1 13.173 * [backup-simplify]: Simplify (/ -1 1) into -1 13.173 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.173 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 13.173 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 13.173 * [taylor]: Taking taylor expansion of -1 in phi1 13.173 * [backup-simplify]: Simplify -1 into -1 13.173 * [taylor]: Taking taylor expansion of phi2 in phi1 13.173 * [backup-simplify]: Simplify phi2 into phi2 13.173 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 13.173 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.173 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 13.173 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 13.173 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 13.173 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 13.173 * [taylor]: Taking taylor expansion of -1 in phi2 13.173 * [backup-simplify]: Simplify -1 into -1 13.173 * [taylor]: Taking taylor expansion of phi1 in phi2 13.173 * [backup-simplify]: Simplify phi1 into phi1 13.173 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 13.173 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.173 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 13.173 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 13.173 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 13.173 * [taylor]: Taking taylor expansion of -1 in phi2 13.173 * [backup-simplify]: Simplify -1 into -1 13.173 * [taylor]: Taking taylor expansion of phi2 in phi2 13.173 * [backup-simplify]: Simplify 0 into 0 13.173 * [backup-simplify]: Simplify 1 into 1 13.174 * [backup-simplify]: Simplify (/ -1 1) into -1 13.174 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.174 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 13.174 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 13.174 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 13.174 * [taylor]: Taking taylor expansion of -1 in phi2 13.174 * [backup-simplify]: Simplify -1 into -1 13.174 * [taylor]: Taking taylor expansion of phi1 in phi2 13.174 * [backup-simplify]: Simplify phi1 into phi1 13.174 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 13.174 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.174 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 13.174 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 13.174 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 13.174 * [taylor]: Taking taylor expansion of -1 in phi2 13.174 * [backup-simplify]: Simplify -1 into -1 13.174 * [taylor]: Taking taylor expansion of phi2 in phi2 13.174 * [backup-simplify]: Simplify 0 into 0 13.174 * [backup-simplify]: Simplify 1 into 1 13.174 * [backup-simplify]: Simplify (/ -1 1) into -1 13.174 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.174 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 13.175 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 13.175 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 13.175 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.175 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 13.175 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 13.175 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 13.175 * [taylor]: Taking taylor expansion of -1 in phi1 13.175 * [backup-simplify]: Simplify -1 into -1 13.175 * [taylor]: Taking taylor expansion of phi1 in phi1 13.175 * [backup-simplify]: Simplify 0 into 0 13.175 * [backup-simplify]: Simplify 1 into 1 13.175 * [backup-simplify]: Simplify (/ -1 1) into -1 13.175 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.175 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 13.175 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 13.175 * [taylor]: Taking taylor expansion of -1 in phi1 13.175 * [backup-simplify]: Simplify -1 into -1 13.175 * [taylor]: Taking taylor expansion of phi2 in phi1 13.175 * [backup-simplify]: Simplify phi2 into phi2 13.175 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 13.175 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.175 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 13.175 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 13.176 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 13.176 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 13.176 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.176 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.176 * [backup-simplify]: Simplify (+ 0) into 0 13.176 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 13.176 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 13.177 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.177 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 13.178 * [backup-simplify]: Simplify (+ 0 0) into 0 13.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 13.178 * [taylor]: Taking taylor expansion of 0 in phi1 13.178 * [backup-simplify]: Simplify 0 into 0 13.178 * [backup-simplify]: Simplify 0 into 0 13.178 * [backup-simplify]: Simplify (+ 0) into 0 13.178 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 13.178 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 13.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.179 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 13.179 * [backup-simplify]: Simplify (+ 0 0) into 0 13.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 13.180 * [backup-simplify]: Simplify 0 into 0 13.180 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 13.181 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 13.181 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.182 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 13.182 * [backup-simplify]: Simplify (+ 0 0) into 0 13.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 13.182 * [taylor]: Taking taylor expansion of 0 in phi1 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 13.183 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 13.184 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 13.184 * [backup-simplify]: Simplify (+ 0 0) into 0 13.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 13.185 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.186 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.186 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 13.187 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.187 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.188 * [backup-simplify]: Simplify (+ 0 0) into 0 13.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 13.188 * [taylor]: Taking taylor expansion of 0 in phi1 13.188 * [backup-simplify]: Simplify 0 into 0 13.188 * [backup-simplify]: Simplify 0 into 0 13.188 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 13.189 * * * [progress]: simplifying candidates 13.190 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (log (* (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))))) (log (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (log (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (log (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (log 1) (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (exp (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))))) (log (exp (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (log (exp 1)) (log (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (exp (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (* (cbrt (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (cbrt (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))))) (cbrt (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (* (* (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (sqrt (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (sqrt (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (exp (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (exp (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (exp (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))))) (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (* (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1))) (* (sin phi2) (sin phi1)))))) (- (cos (- phi2 phi1)) (cos (+ phi2 phi1))) (* (sin phi2) (sin phi1)) (+ (log (sin phi2)) (log (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi2)) (sin phi2)) (* (* (sin phi1) (sin phi1)) (sin phi1))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sin phi2) (* (cbrt (sin phi1)) (cbrt (sin phi1)))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi2) 1) (* (cbrt (sin phi2)) (sin phi1)) (* (sqrt (sin phi2)) (sin phi1)) (* (sin phi2) (sin phi1)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 13.191 * * [simplify]: iteration 0: 108 enodes 13.218 * * [simplify]: iteration 1: 196 enodes 13.255 * * [simplify]: iteration 2: 518 enodes 13.566 * * [simplify]: iteration 3: 2390 enodes 14.647 * * [simplify]: iteration complete: 5000 enodes 14.647 * * [simplify]: Extracting #0: cost 39 inf + 0 14.648 * * [simplify]: Extracting #1: cost 239 inf + 3 14.653 * * [simplify]: Extracting #2: cost 1066 inf + 324 14.671 * * [simplify]: Extracting #3: cost 559 inf + 127628 14.706 * * [simplify]: Extracting #4: cost 216 inf + 194393 14.740 * * [simplify]: Extracting #5: cost 184 inf + 201679 14.781 * * [simplify]: Extracting #6: cost 139 inf + 215312 14.847 * * [simplify]: Extracting #7: cost 102 inf + 236016 14.889 * * [simplify]: Extracting #8: cost 29 inf + 305733 14.963 * * [simplify]: Extracting #9: cost 11 inf + 325047 15.046 * * [simplify]: Extracting #10: cost 2 inf + 335962 15.093 * * [simplify]: Extracting #11: cost 0 inf + 338662 15.144 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (log (* (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) 0 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (/ PI 2) (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) 1 (log (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (* (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) (exp (sqrt (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) E (sqrt (exp PI)) (exp (asin (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (exp (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (* (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))))) (cbrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (exp (* 3 (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))))) (- (cos (- phi2 phi1)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (* (sin phi2) (cbrt (sin phi1))) (cbrt (sin phi1))) (* (sqrt (sin phi1)) (sin phi2)) (sin phi2) (* (cbrt (sin phi2)) (sin phi1)) (* (sqrt (sin phi2)) (sin phi1)) (* (sin phi1) (sin phi2)) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2)))) (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (cos phi2) (cos phi1))) (* (sin phi1) (sin phi2))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 15.153 * * * [progress]: adding candidates to table 15.995 * [progress]: [Phase 3 of 3] Extracting. 15.996 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 16.021 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 16.021 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # #) 16.376 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # #) 16.719 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 17.081 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 17.425 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 17.755 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 17.989 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 18.359 * * * [regime]: Found split indices: #