0.516 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.623 * * * [progress]: [2/2] Setting up program. 0.645 * [progress]: [Phase 2 of 3] Improving. 0.648 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.650 * * [simplify]: iteration 0: 17 enodes 0.658 * * [simplify]: iteration 1: 26 enodes 0.666 * * [simplify]: iteration 2: 33 enodes 0.674 * * [simplify]: iteration 3: 36 enodes 0.682 * * [simplify]: iteration complete: 36 enodes 0.682 * * [simplify]: Extracting #0: cost 1 inf + 0 0.682 * * [simplify]: Extracting #1: cost 3 inf + 0 0.683 * * [simplify]: Extracting #2: cost 3 inf + 1 0.683 * * [simplify]: Extracting #3: cost 5 inf + 1 0.683 * * [simplify]: Extracting #4: cost 13 inf + 1 0.683 * * [simplify]: Extracting #5: cost 16 inf + 1 0.683 * * [simplify]: Extracting #6: cost 15 inf + 7 0.683 * * [simplify]: Extracting #7: cost 10 inf + 18 0.683 * * [simplify]: Extracting #8: cost 6 inf + 32 0.683 * * [simplify]: Extracting #9: cost 2 inf + 72 0.683 * * [simplify]: Extracting #10: cost 0 inf + 108 0.683 * [simplify]: Simplified to: (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.697 * * [progress]: iteration 1 / 4 0.697 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.780 * * * [progress]: generating rewritten candidates 0.781 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.791 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.792 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.798 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.819 * * * [progress]: generating series expansions 0.820 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.824 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.824 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.826 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.826 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.826 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.826 * [backup-simplify]: Simplify lambda1 into lambda1 0.826 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.827 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.827 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.828 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.828 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.828 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.828 * [backup-simplify]: Simplify lambda2 into lambda2 0.828 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.828 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.828 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.828 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.828 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.828 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.828 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.828 * [backup-simplify]: Simplify lambda2 into lambda2 0.828 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.828 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.828 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.828 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.831 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.832 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.832 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.832 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.833 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (- 1) into -1 0.833 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (+ 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 1 0) into 1 0.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.838 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.838 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.838 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.838 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.838 * [taylor]: Taking taylor expansion of (sin (- 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 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (- 0) into 0 0.839 * [backup-simplify]: Simplify (- 1) into -1 0.839 * [backup-simplify]: Simplify (- 0) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ 0) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.841 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.842 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.843 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.843 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.843 * [backup-simplify]: Simplify 1/2 into 1/2 0.843 * [taylor]: Taking taylor expansion of (cos (- 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 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (- 1) into -1 0.844 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.844 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.844 * [backup-simplify]: Simplify -1/2 into -1/2 0.844 * [backup-simplify]: Simplify (- 1) into -1 0.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.845 * [backup-simplify]: Simplify (- -1) into 1 0.845 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.846 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.846 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.846 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.846 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.846 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.846 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.846 * [backup-simplify]: Simplify lambda1 into lambda1 0.846 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.846 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.846 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [backup-simplify]: Simplify (- 1) into -1 0.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.847 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.847 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.847 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.847 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.847 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.848 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.848 * [backup-simplify]: Simplify lambda2 into lambda2 0.848 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.848 * [backup-simplify]: Simplify (+ 1 0) into 1 0.848 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.848 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.848 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.848 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.848 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.848 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.848 * [backup-simplify]: Simplify lambda2 into lambda2 0.849 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.849 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.849 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.849 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.849 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.849 * [backup-simplify]: Simplify lambda1 into lambda1 0.849 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.849 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.849 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify (- 1) into -1 0.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.850 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.850 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.850 * [taylor]: Taking taylor expansion of 0 in lambda2 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in lambda2 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in lambda2 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.851 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.851 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.851 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.851 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.851 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.851 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.851 * [backup-simplify]: Simplify lambda1 into lambda1 0.851 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.851 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.851 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.851 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.851 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.851 * [backup-simplify]: Simplify lambda2 into lambda2 0.852 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.852 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.852 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [backup-simplify]: Simplify (- 1) into -1 0.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.852 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.852 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.852 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.852 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.853 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.853 * [backup-simplify]: Simplify lambda2 into lambda2 0.853 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.853 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.853 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [backup-simplify]: Simplify (- 1) into -1 0.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.853 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.854 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.854 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.854 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.854 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (/ 1 1) into 1 0.854 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.854 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.854 * [backup-simplify]: Simplify lambda1 into lambda1 0.854 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.854 * [backup-simplify]: Simplify (+ 1 0) into 1 0.854 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.854 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.854 * [taylor]: Taking taylor expansion of 0 in lambda2 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.855 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.855 * [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)))) 0.855 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.863 * [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)))) 0.863 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.863 * [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)))) 0.863 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.863 * [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)))) 0.863 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.863 * [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)))) 0.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.864 * [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)))) 0.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.864 * [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)))) 0.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.864 * [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)))) 0.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.865 * [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)))) 0.865 * [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)))) 0.865 * [taylor]: Taking taylor expansion of 0 in phi2 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda1 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda1 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in phi2 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda1 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [taylor]: Taking taylor expansion of 0 in lambda1 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [taylor]: Taking taylor expansion of 0 in lambda2 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [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)))) 0.866 * [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)))))) 0.866 * [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 0.866 * [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 0.866 * [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)))))) 0.866 * [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 0.867 * [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)))))) 0.867 * [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 0.867 * [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)))))) 0.867 * [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 0.868 * [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)))))) 0.868 * [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 0.868 * [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)))))) 0.868 * [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 0.868 * [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)))))) 0.868 * [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 0.869 * [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)))))) 0.869 * [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 0.869 * [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)))))) 0.869 * [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)))))) 0.869 * [taylor]: Taking taylor expansion of 0 in phi2 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [taylor]: Taking taylor expansion of 0 in lambda1 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [taylor]: Taking taylor expansion of 0 in lambda1 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [taylor]: Taking taylor expansion of 0 in phi2 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [taylor]: Taking taylor expansion of 0 in lambda1 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 * [taylor]: Taking taylor expansion of 0 in lambda1 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 (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)))) 0.870 * [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))))))) 0.870 * [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 0.870 * [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 0.871 * [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))))))) 0.871 * [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 0.871 * [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))))))) 0.871 * [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 0.872 * [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))))))) 0.872 * [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 0.873 * [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))))))) 0.873 * [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 0.873 * [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))))))) 0.873 * [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 0.874 * [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))))))) 0.874 * [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 0.874 * [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))))))) 0.874 * [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 0.875 * [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))))))) 0.875 * [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))))))) 0.876 * [taylor]: Taking taylor expansion of 0 in phi2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda1 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda1 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in phi2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda1 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda1 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [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)))) 0.877 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.878 * [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) 0.878 * [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 0.878 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 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 * [taylor]: Taking taylor expansion of R in R 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.879 * [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)))) 0.879 * [taylor]: Taking taylor expansion of R in lambda2 0.879 * [backup-simplify]: Simplify R into R 0.879 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.879 * [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)))) 0.879 * [taylor]: Taking taylor expansion of R in lambda1 0.879 * [backup-simplify]: Simplify R into R 0.879 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.880 * [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)))) 0.880 * [taylor]: Taking taylor expansion of R in phi2 0.880 * [backup-simplify]: Simplify R into R 0.880 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.880 * [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)))) 0.880 * [taylor]: Taking taylor expansion of R in phi1 0.880 * [backup-simplify]: Simplify R into R 0.880 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.880 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.881 * [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)))) 0.881 * [taylor]: Taking taylor expansion of R in phi1 0.881 * [backup-simplify]: Simplify R into R 0.881 * [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) 0.881 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.881 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.882 * [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)))) 0.882 * [taylor]: Taking taylor expansion of R in phi2 0.882 * [backup-simplify]: Simplify R into R 0.882 * [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) 0.882 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.882 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.883 * [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)))) 0.883 * [taylor]: Taking taylor expansion of R in lambda1 0.883 * [backup-simplify]: Simplify R into R 0.883 * [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) 0.883 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.883 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.883 * [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)))) 0.884 * [taylor]: Taking taylor expansion of R in lambda2 0.884 * [backup-simplify]: Simplify R into R 0.884 * [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) 0.884 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.884 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.884 * [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)))) 0.884 * [taylor]: Taking taylor expansion of R in R 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.885 * [taylor]: Taking taylor expansion of 0 in phi2 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda1 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in R 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda1 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [taylor]: Taking taylor expansion of 0 in R 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in lambda2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [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)))) 0.888 * [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)))) 0.889 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.889 * [taylor]: Taking taylor expansion of 0 in phi2 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [taylor]: Taking taylor expansion of 0 in lambda1 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [taylor]: Taking taylor expansion of 0 in lambda2 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [taylor]: Taking taylor expansion of 0 in R 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [taylor]: Taking taylor expansion of 0 in lambda1 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [taylor]: Taking taylor expansion of 0 in lambda2 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [taylor]: Taking taylor expansion of 0 in R 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.890 * [taylor]: Taking taylor expansion of 0 in lambda1 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in lambda2 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in R 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in lambda2 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in R 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in lambda2 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [taylor]: Taking taylor expansion of 0 in R 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [taylor]: Taking taylor expansion of 0 in R 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [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) 0.892 * [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) 0.892 * [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 0.892 * [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 0.892 * [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 0.892 * [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)))))) 0.892 * [taylor]: Taking taylor expansion of R in R 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [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)))))) 0.893 * [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 0.893 * [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 0.893 * [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)))))) 0.893 * [taylor]: Taking taylor expansion of R in lambda2 0.893 * [backup-simplify]: Simplify R into R 0.893 * [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) 0.893 * [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 0.893 * [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 0.893 * [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)))))) 0.893 * [taylor]: Taking taylor expansion of R in lambda1 0.893 * [backup-simplify]: Simplify R into R 0.894 * [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) 0.894 * [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 0.894 * [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 0.894 * [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)))))) 0.894 * [taylor]: Taking taylor expansion of R in phi2 0.894 * [backup-simplify]: Simplify R into R 0.894 * [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) 0.894 * [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 0.894 * [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 0.895 * [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)))))) 0.895 * [taylor]: Taking taylor expansion of R in phi1 0.895 * [backup-simplify]: Simplify R into R 0.895 * [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) 0.895 * [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 0.895 * [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 0.895 * [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)))))) 0.895 * [taylor]: Taking taylor expansion of R in phi1 0.895 * [backup-simplify]: Simplify R into R 0.896 * [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) 0.896 * [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 0.896 * [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 0.896 * [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)))))) 0.896 * [taylor]: Taking taylor expansion of R in phi2 0.896 * [backup-simplify]: Simplify R into R 0.896 * [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) 0.897 * [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 0.897 * [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 0.897 * [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)))))) 0.897 * [taylor]: Taking taylor expansion of R in lambda1 0.897 * [backup-simplify]: Simplify R into R 0.897 * [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) 0.897 * [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 0.897 * [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 0.897 * [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)))))) 0.898 * [taylor]: Taking taylor expansion of R in lambda2 0.898 * [backup-simplify]: Simplify R into R 0.898 * [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) 0.898 * [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 0.898 * [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 0.898 * [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)))))) 0.898 * [taylor]: Taking taylor expansion of R in R 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [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)))))) 0.899 * [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)))))) 0.899 * [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 0.899 * [taylor]: Taking taylor expansion of 0 in phi2 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [taylor]: Taking taylor expansion of 0 in lambda1 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [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 0.900 * [taylor]: Taking taylor expansion of 0 in lambda1 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [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 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [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 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [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 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [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 0.903 * [taylor]: Taking taylor expansion of 0 in phi2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [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 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [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 0.904 * [taylor]: Taking taylor expansion of 0 in lambda2 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [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 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 0.907 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 0.907 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.907 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 0.907 * [taylor]: Taking taylor expansion of -1 in R 0.907 * [backup-simplify]: Simplify -1 into -1 0.907 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 0.907 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 0.908 * [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))))))) 0.908 * [taylor]: Taking taylor expansion of R in R 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.908 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 0.908 * [taylor]: Taking taylor expansion of -1 in lambda2 0.908 * [backup-simplify]: Simplify -1 into -1 0.908 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 0.908 * [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 0.908 * [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))))))) 0.908 * [taylor]: Taking taylor expansion of R in lambda2 0.908 * [backup-simplify]: Simplify R into R 0.909 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.909 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 0.909 * [taylor]: Taking taylor expansion of -1 in lambda1 0.909 * [backup-simplify]: Simplify -1 into -1 0.909 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 0.909 * [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 0.909 * [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))))))) 0.909 * [taylor]: Taking taylor expansion of R in lambda1 0.909 * [backup-simplify]: Simplify R into R 0.909 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.909 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 0.909 * [taylor]: Taking taylor expansion of -1 in phi2 0.909 * [backup-simplify]: Simplify -1 into -1 0.909 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 0.909 * [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 0.910 * [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))))))) 0.910 * [taylor]: Taking taylor expansion of R in phi2 0.910 * [backup-simplify]: Simplify R into R 0.910 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.910 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 0.910 * [taylor]: Taking taylor expansion of -1 in phi1 0.910 * [backup-simplify]: Simplify -1 into -1 0.910 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 0.910 * [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 0.910 * [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))))))) 0.910 * [taylor]: Taking taylor expansion of R in phi1 0.910 * [backup-simplify]: Simplify R into R 0.911 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 0.911 * [taylor]: Taking taylor expansion of -1 in phi1 0.911 * [backup-simplify]: Simplify -1 into -1 0.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 0.911 * [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 0.911 * [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))))))) 0.911 * [taylor]: Taking taylor expansion of R in phi1 0.911 * [backup-simplify]: Simplify R into R 0.911 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.912 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 0.912 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 0.912 * [taylor]: Taking taylor expansion of -1 in phi2 0.912 * [backup-simplify]: Simplify -1 into -1 0.912 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 0.912 * [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 0.912 * [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))))))) 0.912 * [taylor]: Taking taylor expansion of R in phi2 0.912 * [backup-simplify]: Simplify R into R 0.913 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.913 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 0.913 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 0.913 * [taylor]: Taking taylor expansion of -1 in lambda1 0.913 * [backup-simplify]: Simplify -1 into -1 0.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 0.913 * [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 0.913 * [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))))))) 0.913 * [taylor]: Taking taylor expansion of R in lambda1 0.913 * [backup-simplify]: Simplify R into R 0.914 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.914 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 0.914 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 0.914 * [taylor]: Taking taylor expansion of -1 in lambda2 0.914 * [backup-simplify]: Simplify -1 into -1 0.914 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 0.914 * [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 0.914 * [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))))))) 0.915 * [taylor]: Taking taylor expansion of R in lambda2 0.915 * [backup-simplify]: Simplify R into R 0.915 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 0.916 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 0.916 * [taylor]: Taking taylor expansion of -1 in R 0.916 * [backup-simplify]: Simplify -1 into -1 0.916 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 0.916 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 0.916 * [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))))))) 0.916 * [taylor]: Taking taylor expansion of R in R 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 0.917 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 0.918 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 0.919 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [taylor]: Taking taylor expansion of 0 in R 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 0.922 * [taylor]: Taking taylor expansion of 0 in lambda1 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [taylor]: Taking taylor expansion of 0 in lambda2 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [taylor]: Taking taylor expansion of 0 in R 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [taylor]: Taking taylor expansion of 0 in R 0.924 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.926 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 0.931 * [taylor]: Taking taylor expansion of 0 in phi2 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [taylor]: Taking taylor expansion of 0 in R 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [taylor]: Taking taylor expansion of 0 in R 0.931 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [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 0.938 * [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 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [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) 0.939 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.939 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.939 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.939 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.939 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.939 * [taylor]: Taking taylor expansion of phi1 in phi2 0.939 * [backup-simplify]: Simplify phi1 into phi1 0.939 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.939 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.939 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.939 * [taylor]: Taking taylor expansion of phi2 in phi2 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.939 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.939 * [taylor]: Taking taylor expansion of phi1 in phi1 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.939 * [taylor]: Taking taylor expansion of phi2 in phi1 0.939 * [backup-simplify]: Simplify phi2 into phi2 0.939 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.939 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.939 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.939 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.939 * [taylor]: Taking taylor expansion of phi1 in phi1 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.939 * [taylor]: Taking taylor expansion of phi2 in phi1 0.939 * [backup-simplify]: Simplify phi2 into phi2 0.939 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.939 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.939 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.940 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.940 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.940 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.940 * [taylor]: Taking taylor expansion of 0 in phi2 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.941 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.942 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.942 * [taylor]: Taking taylor expansion of phi2 in phi2 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.943 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.944 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.945 * [taylor]: Taking taylor expansion of 0 in phi2 0.945 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.947 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.949 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.950 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.951 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.951 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.951 * [backup-simplify]: Simplify 1/6 into 1/6 0.951 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.951 * [taylor]: Taking taylor expansion of phi2 in phi2 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [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 0.954 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.955 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in phi2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 0.957 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.957 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 0.957 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 0.957 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.957 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.957 * [taylor]: Taking taylor expansion of phi2 in phi2 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.958 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.958 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.958 * [taylor]: Taking taylor expansion of phi1 in phi2 0.958 * [backup-simplify]: Simplify phi1 into phi1 0.958 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.958 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.958 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.958 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 0.958 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.958 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.958 * [taylor]: Taking taylor expansion of phi2 in phi1 0.958 * [backup-simplify]: Simplify phi2 into phi2 0.958 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.958 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.958 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.958 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.958 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.958 * [taylor]: Taking taylor expansion of phi1 in phi1 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.959 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 0.959 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.959 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.959 * [taylor]: Taking taylor expansion of phi2 in phi1 0.959 * [backup-simplify]: Simplify phi2 into phi2 0.959 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.959 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.959 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.959 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.959 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.959 * [taylor]: Taking taylor expansion of phi1 in phi1 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.960 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.960 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.960 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.960 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.960 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.960 * [taylor]: Taking taylor expansion of phi2 in phi2 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.961 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.961 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.961 * [taylor]: Taking taylor expansion of phi1 in phi2 0.961 * [backup-simplify]: Simplify phi1 into phi1 0.961 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.961 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.961 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.961 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.961 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.961 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.961 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.962 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.962 * [backup-simplify]: Simplify (+ 0) into 0 0.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.964 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in phi2 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (+ 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.967 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.971 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in phi2 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.974 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.975 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.978 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.986 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 0.987 * [taylor]: Taking taylor expansion of 0 in phi2 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 0.988 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.988 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.988 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.988 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.988 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.988 * [taylor]: Taking taylor expansion of -1 in phi2 0.988 * [backup-simplify]: Simplify -1 into -1 0.988 * [taylor]: Taking taylor expansion of phi1 in phi2 0.988 * [backup-simplify]: Simplify phi1 into phi1 0.988 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.988 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.988 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.988 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.988 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.988 * [taylor]: Taking taylor expansion of -1 in phi2 0.988 * [backup-simplify]: Simplify -1 into -1 0.988 * [taylor]: Taking taylor expansion of phi2 in phi2 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (/ -1 1) into -1 0.989 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.989 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.989 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.989 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.989 * [taylor]: Taking taylor expansion of -1 in phi1 0.989 * [backup-simplify]: Simplify -1 into -1 0.989 * [taylor]: Taking taylor expansion of phi1 in phi1 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (/ -1 1) into -1 0.990 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.990 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.990 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.990 * [taylor]: Taking taylor expansion of -1 in phi1 0.990 * [backup-simplify]: Simplify -1 into -1 0.990 * [taylor]: Taking taylor expansion of phi2 in phi1 0.990 * [backup-simplify]: Simplify phi2 into phi2 0.990 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.990 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.990 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.990 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.990 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.990 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.990 * [taylor]: Taking taylor expansion of -1 in phi1 0.990 * [backup-simplify]: Simplify -1 into -1 0.990 * [taylor]: Taking taylor expansion of phi1 in phi1 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 1 into 1 0.991 * [backup-simplify]: Simplify (/ -1 1) into -1 0.991 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.991 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.991 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.991 * [taylor]: Taking taylor expansion of -1 in phi1 0.991 * [backup-simplify]: Simplify -1 into -1 0.991 * [taylor]: Taking taylor expansion of phi2 in phi1 0.991 * [backup-simplify]: Simplify phi2 into phi2 0.991 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.991 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.991 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.992 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.992 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.992 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.992 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.992 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.992 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.992 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.992 * [taylor]: Taking taylor expansion of -1 in phi2 0.992 * [backup-simplify]: Simplify -1 into -1 0.992 * [taylor]: Taking taylor expansion of phi1 in phi2 0.992 * [backup-simplify]: Simplify phi1 into phi1 0.992 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.992 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.992 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.992 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.992 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.992 * [taylor]: Taking taylor expansion of -1 in phi2 0.992 * [backup-simplify]: Simplify -1 into -1 0.992 * [taylor]: Taking taylor expansion of phi2 in phi2 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.993 * [backup-simplify]: Simplify (/ -1 1) into -1 0.993 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.993 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.993 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.993 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.993 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.994 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.994 * [backup-simplify]: Simplify (+ 0) into 0 0.994 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.995 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ 0) into 0 0.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.002 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.003 * [backup-simplify]: Simplify (+ 0 0) into 0 1.003 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in phi2 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.005 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.007 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.013 * [taylor]: Taking taylor expansion of 0 in phi2 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.013 * * * [progress]: simplifying candidates 1.015 * [simplify]: Simplifying: (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.018 * * [simplify]: iteration 0: 111 enodes 1.042 * * [simplify]: iteration 1: 208 enodes 1.111 * * [simplify]: iteration 2: 721 enodes 1.607 * * [simplify]: iteration complete: 5000 enodes 1.607 * * [simplify]: Extracting #0: cost 47 inf + 0 1.608 * * [simplify]: Extracting #1: cost 653 inf + 0 1.613 * * [simplify]: Extracting #2: cost 1738 inf + 108 1.619 * * [simplify]: Extracting #3: cost 1203 inf + 3285 1.626 * * [simplify]: Extracting #4: cost 847 inf + 6229 1.636 * * [simplify]: Extracting #5: cost 805 inf + 6570 1.642 * * [simplify]: Extracting #6: cost 285 inf + 21568 1.648 * * [simplify]: Extracting #7: cost 0 inf + 33092 1.653 * * [simplify]: Extracting #8: cost 0 inf + 33056 1.660 * [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))) (pow (cos (- lambda1 lambda2)) 3) (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))))) (pow (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (log (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (log (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (pow (exp R) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (pow (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) 3) (* (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (pow (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) 3) (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (cbrt R) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (cbrt R))) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (* (sin phi1) (cbrt (sin phi2))) (cbrt (sin phi2))) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* lambda1 (- lambda2 (* 1/2 lambda1))) 1) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.660 * * * [progress]: adding candidates to table 2.288 * * [progress]: iteration 2 / 4 2.288 * * * [progress]: picking best candidate 2.435 * * * * [pick]: Picked # 2.435 * * * [progress]: localizing error 2.510 * * * [progress]: generating rewritten candidates 2.510 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.511 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.517 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.534 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 2.555 * * * [progress]: generating series expansions 2.555 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.556 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.556 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.556 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 2.557 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.557 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 2.558 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.558 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 2.558 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.558 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 2.559 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.559 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 2.560 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.560 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 2.561 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.561 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 2.562 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.562 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 2.563 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.563 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.564 * [taylor]: Taking taylor expansion of 0 in phi2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda1 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda1 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in phi2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda1 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda1 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [taylor]: Taking taylor expansion of 0 in lambda2 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.566 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) 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)))))))) 2.566 * [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 2.566 * [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 2.567 * [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)))))))) 2.567 * [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 2.568 * [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)))))))) 2.568 * [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 2.569 * [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)))))))) 2.569 * [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 2.570 * [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)))))))) 2.571 * [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 2.572 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 2.579 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2.579 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 2.580 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2.580 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 2.581 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 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)))))))) 2.582 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2.582 * [taylor]: Taking taylor expansion of 0 in phi2 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [taylor]: Taking taylor expansion of 0 in lambda1 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [taylor]: Taking taylor expansion of 0 in lambda2 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [taylor]: Taking taylor expansion of 0 in lambda1 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in phi2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda1 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda1 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [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))))) 2.585 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))) 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)))))))) 2.585 * [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 2.585 * [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 2.586 * [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)))))))) 2.586 * [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 2.587 * [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)))))))) 2.587 * [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 2.588 * [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)))))))) 2.588 * [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 2.589 * [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)))))))) 2.589 * [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 2.590 * [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)))))))) 2.591 * [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 2.592 * [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)))))))) 2.592 * [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 2.593 * [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)))))))) 2.593 * [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 2.594 * [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)))))))) 2.595 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 2.595 * [taylor]: Taking taylor expansion of 0 in phi2 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in lambda1 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in lambda2 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in lambda1 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in lambda2 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in lambda2 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in phi2 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [taylor]: Taking taylor expansion of 0 in lambda1 2.595 * [backup-simplify]: Simplify 0 into 0 2.596 * [taylor]: Taking taylor expansion of 0 in lambda2 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [taylor]: Taking taylor expansion of 0 in lambda1 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [taylor]: Taking taylor expansion of 0 in lambda2 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.597 * [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))))) 2.597 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.598 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 2.598 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.598 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 2.598 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 2.599 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.599 * [taylor]: Taking taylor expansion of R in R 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 1 into 1 2.599 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 2.599 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 2.600 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.600 * [taylor]: Taking taylor expansion of R in lambda2 2.600 * [backup-simplify]: Simplify R into R 2.600 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 2.600 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 2.601 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.601 * [taylor]: Taking taylor expansion of R in lambda1 2.601 * [backup-simplify]: Simplify R into R 2.601 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 2.601 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 2.602 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.602 * [taylor]: Taking taylor expansion of R in phi2 2.602 * [backup-simplify]: Simplify R into R 2.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 2.602 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 2.603 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.603 * [taylor]: Taking taylor expansion of R in phi1 2.603 * [backup-simplify]: Simplify R into R 2.603 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 2.603 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 2.603 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.604 * [taylor]: Taking taylor expansion of R in phi1 2.604 * [backup-simplify]: Simplify R into R 2.604 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 2.604 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 2.604 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 2.605 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.605 * [taylor]: Taking taylor expansion of R in phi2 2.605 * [backup-simplify]: Simplify R into R 2.606 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 2.606 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 2.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 2.607 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.607 * [taylor]: Taking taylor expansion of R in lambda1 2.607 * [backup-simplify]: Simplify R into R 2.608 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 2.608 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 2.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 2.609 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.609 * [taylor]: Taking taylor expansion of R in lambda2 2.609 * [backup-simplify]: Simplify R into R 2.610 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 2.610 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 2.610 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 2.610 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.610 * [taylor]: Taking taylor expansion of R in R 2.610 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 2.612 * [taylor]: Taking taylor expansion of 0 in phi2 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [taylor]: Taking taylor expansion of 0 in lambda1 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [taylor]: Taking taylor expansion of 0 in lambda2 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [taylor]: Taking taylor expansion of 0 in R 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 2.613 * [taylor]: Taking taylor expansion of 0 in lambda1 2.613 * [backup-simplify]: Simplify 0 into 0 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [taylor]: Taking taylor expansion of 0 in R 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 2.615 * [taylor]: Taking taylor expansion of 0 in lambda2 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [taylor]: Taking taylor expansion of 0 in R 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 2.615 * [taylor]: Taking taylor expansion of 0 in R 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.618 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 2.619 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.619 * [taylor]: Taking taylor expansion of 0 in phi2 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [taylor]: Taking taylor expansion of 0 in lambda1 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [taylor]: Taking taylor expansion of 0 in R 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in R 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.621 * [taylor]: Taking taylor expansion of 0 in lambda1 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [taylor]: Taking taylor expansion of 0 in lambda2 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [taylor]: Taking taylor expansion of 0 in R 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [taylor]: Taking taylor expansion of 0 in lambda2 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [taylor]: Taking taylor expansion of 0 in R 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in lambda2 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [taylor]: Taking taylor expansion of 0 in R 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [taylor]: Taking taylor expansion of 0 in R 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* 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) 2.626 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) (/ 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) 2.626 * [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 2.626 * [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 2.626 * [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 2.627 * [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)))))))) 2.627 * [taylor]: Taking taylor expansion of R in R 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [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)))))))) 2.628 * [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 2.628 * [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 2.629 * [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)))))))) 2.629 * [taylor]: Taking taylor expansion of R in lambda2 2.629 * [backup-simplify]: Simplify R into R 2.630 * [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) 2.630 * [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 2.631 * [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 2.632 * [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)))))))) 2.632 * [taylor]: Taking taylor expansion of R in lambda1 2.632 * [backup-simplify]: Simplify R into R 2.633 * [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) 2.633 * [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 2.633 * [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 2.634 * [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)))))))) 2.634 * [taylor]: Taking taylor expansion of R in phi2 2.634 * [backup-simplify]: Simplify R into R 2.635 * [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) 2.636 * [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 2.636 * [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 2.637 * [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)))))))) 2.637 * [taylor]: Taking taylor expansion of R in phi1 2.637 * [backup-simplify]: Simplify R into R 2.638 * [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) 2.638 * [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 2.638 * [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 2.639 * [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)))))))) 2.639 * [taylor]: Taking taylor expansion of R in phi1 2.639 * [backup-simplify]: Simplify R into R 2.640 * [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) 2.640 * [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 2.640 * [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 2.641 * [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)))))))) 2.642 * [taylor]: Taking taylor expansion of R in phi2 2.642 * [backup-simplify]: Simplify R into R 2.643 * [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) 2.643 * [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 2.643 * [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 2.644 * [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)))))))) 2.644 * [taylor]: Taking taylor expansion of R in lambda1 2.644 * [backup-simplify]: Simplify R into R 2.645 * [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) 2.645 * [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 2.645 * [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 2.646 * [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)))))))) 2.646 * [taylor]: Taking taylor expansion of R in lambda2 2.646 * [backup-simplify]: Simplify R into R 2.647 * [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) 2.647 * [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 2.648 * [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 2.649 * [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)))))))) 2.649 * [taylor]: Taking taylor expansion of R in R 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.650 * [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)))))))) 2.651 * [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)))))))) 2.652 * [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 2.652 * [taylor]: Taking taylor expansion of 0 in phi2 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [taylor]: Taking taylor expansion of 0 in lambda1 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [taylor]: Taking taylor expansion of 0 in lambda2 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [taylor]: Taking taylor expansion of 0 in R 2.653 * [backup-simplify]: Simplify 0 into 0 2.654 * [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 2.654 * [taylor]: Taking taylor expansion of 0 in lambda1 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [taylor]: Taking taylor expansion of 0 in lambda2 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [taylor]: Taking taylor expansion of 0 in R 2.654 * [backup-simplify]: Simplify 0 into 0 2.656 * [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 2.656 * [taylor]: Taking taylor expansion of 0 in lambda2 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [taylor]: Taking taylor expansion of 0 in R 2.656 * [backup-simplify]: Simplify 0 into 0 2.657 * [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 2.657 * [taylor]: Taking taylor expansion of 0 in R 2.657 * [backup-simplify]: Simplify 0 into 0 2.660 * [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 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [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 2.661 * [taylor]: Taking taylor expansion of 0 in phi2 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [taylor]: Taking taylor expansion of 0 in lambda1 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [taylor]: Taking taylor expansion of 0 in lambda2 2.661 * [backup-simplify]: Simplify 0 into 0 2.662 * [taylor]: Taking taylor expansion of 0 in R 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [taylor]: Taking taylor expansion of 0 in lambda1 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [taylor]: Taking taylor expansion of 0 in lambda2 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [taylor]: Taking taylor expansion of 0 in R 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [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 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [taylor]: Taking taylor expansion of 0 in R 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [taylor]: Taking taylor expansion of 0 in R 2.664 * [backup-simplify]: Simplify 0 into 0 2.665 * [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 2.665 * [taylor]: Taking taylor expansion of 0 in lambda2 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [taylor]: Taking taylor expansion of 0 in R 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [taylor]: Taking taylor expansion of 0 in R 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [taylor]: Taking taylor expansion of 0 in R 2.665 * [backup-simplify]: Simplify 0 into 0 2.666 * [taylor]: Taking taylor expansion of 0 in R 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [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 2.667 * [taylor]: Taking taylor expansion of 0 in R 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 0 into 0 2.670 * [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 2.670 * [backup-simplify]: Simplify 0 into 0 2.672 * [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) 2.674 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))))))) (/ 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)) 2.674 * [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 2.674 * [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 2.674 * [taylor]: Taking taylor expansion of -1 in R 2.674 * [backup-simplify]: Simplify -1 into -1 2.674 * [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 2.674 * [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 2.675 * [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)))))))) 2.675 * [taylor]: Taking taylor expansion of R in R 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.676 * [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)))))))) 2.676 * [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 2.676 * [taylor]: Taking taylor expansion of -1 in lambda2 2.676 * [backup-simplify]: Simplify -1 into -1 2.676 * [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 2.676 * [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 2.677 * [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)))))))) 2.678 * [taylor]: Taking taylor expansion of R in lambda2 2.678 * [backup-simplify]: Simplify R into R 2.679 * [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) 2.679 * [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 2.679 * [taylor]: Taking taylor expansion of -1 in lambda1 2.679 * [backup-simplify]: Simplify -1 into -1 2.679 * [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 2.679 * [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 2.680 * [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)))))))) 2.680 * [taylor]: Taking taylor expansion of R in lambda1 2.680 * [backup-simplify]: Simplify R into R 2.682 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 2.682 * [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 2.682 * [taylor]: Taking taylor expansion of -1 in phi2 2.682 * [backup-simplify]: Simplify -1 into -1 2.682 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 2.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 2.683 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 2.683 * [taylor]: Taking taylor expansion of R in phi2 2.683 * [backup-simplify]: Simplify R into R 2.684 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 2.684 * [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 2.684 * [taylor]: Taking taylor expansion of -1 in phi1 2.684 * [backup-simplify]: Simplify -1 into -1 2.684 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 2.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 2.685 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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)))))))) 2.685 * [taylor]: Taking taylor expansion of R in phi1 2.686 * [backup-simplify]: Simplify R into R 2.687 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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) 2.687 * [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 2.687 * [taylor]: Taking taylor expansion of -1 in phi1 2.687 * [backup-simplify]: Simplify -1 into -1 2.687 * [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 2.687 * [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 2.687 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 2.687 * [taylor]: Taking taylor expansion of R in phi1 2.687 * [backup-simplify]: Simplify R into R 2.688 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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) 2.689 * [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)) 2.689 * [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 2.689 * [taylor]: Taking taylor expansion of -1 in phi2 2.689 * [backup-simplify]: Simplify -1 into -1 2.689 * [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 2.689 * [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 2.689 * [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)))))))) 2.689 * [taylor]: Taking taylor expansion of R in phi2 2.689 * [backup-simplify]: Simplify R into R 2.690 * [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) 2.691 * [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)) 2.691 * [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 2.691 * [taylor]: Taking taylor expansion of -1 in lambda1 2.691 * [backup-simplify]: Simplify -1 into -1 2.691 * [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 2.691 * [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 2.691 * [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)))))))) 2.691 * [taylor]: Taking taylor expansion of R in lambda1 2.691 * [backup-simplify]: Simplify R into R 2.692 * [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) 2.692 * [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)) 2.692 * [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 2.692 * [taylor]: Taking taylor expansion of -1 in lambda2 2.692 * [backup-simplify]: Simplify -1 into -1 2.692 * [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 2.692 * [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 2.693 * [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)))))))) 2.693 * [taylor]: Taking taylor expansion of R in lambda2 2.693 * [backup-simplify]: Simplify R into R 2.694 * [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) 2.694 * [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)) 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of -1 in R 2.694 * [backup-simplify]: Simplify -1 into -1 2.694 * [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 2.694 * [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 2.695 * [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)))))))) 2.695 * [taylor]: Taking taylor expansion of R in R 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [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)))))))) 2.696 * [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))))))))) 2.696 * [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))))))))) 2.697 * [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 2.698 * [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 2.698 * [taylor]: Taking taylor expansion of 0 in phi2 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [taylor]: Taking taylor expansion of 0 in lambda1 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [taylor]: Taking taylor expansion of 0 in lambda2 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [taylor]: Taking taylor expansion of 0 in R 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [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 2.700 * [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 2.700 * [taylor]: Taking taylor expansion of 0 in lambda1 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [taylor]: Taking taylor expansion of 0 in lambda2 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [taylor]: Taking taylor expansion of 0 in R 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 2.702 * [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 2.702 * [taylor]: Taking taylor expansion of 0 in lambda2 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [taylor]: Taking taylor expansion of 0 in R 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [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 2.704 * [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 2.704 * [taylor]: Taking taylor expansion of 0 in R 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [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 2.706 * [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 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [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 2.708 * [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 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in R 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [taylor]: Taking taylor expansion of 0 in R 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [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 2.710 * [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 2.710 * [taylor]: Taking taylor expansion of 0 in lambda1 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in R 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in R 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [taylor]: Taking taylor expansion of 0 in R 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [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 2.712 * [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 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [backup-simplify]: Simplify 0 into 0 2.713 * [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 2.714 * [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 2.714 * [taylor]: Taking taylor expansion of 0 in R 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.716 * [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 2.717 * [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 2.717 * [backup-simplify]: Simplify 0 into 0 2.718 * [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)))))) 2.718 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.718 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 2.718 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.718 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.718 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.718 * [taylor]: Taking taylor expansion of phi1 in phi2 2.718 * [backup-simplify]: Simplify phi1 into phi1 2.718 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 2.718 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 2.718 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.718 * [taylor]: Taking taylor expansion of phi2 in phi2 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.718 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.718 * [taylor]: Taking taylor expansion of phi1 in phi1 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.718 * [taylor]: Taking taylor expansion of phi2 in phi1 2.718 * [backup-simplify]: Simplify phi2 into phi2 2.718 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.718 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.718 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.718 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.718 * [taylor]: Taking taylor expansion of phi1 in phi1 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.719 * [taylor]: Taking taylor expansion of phi2 in phi1 2.719 * [backup-simplify]: Simplify phi2 into phi2 2.719 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 2.719 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 2.719 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 2.719 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 2.719 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 2.719 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 2.719 * [taylor]: Taking taylor expansion of 0 in phi2 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (+ 0) into 0 2.720 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.724 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 2.725 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.725 * [taylor]: Taking taylor expansion of phi2 in phi2 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.727 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.728 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 2.729 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 2.731 * [taylor]: Taking taylor expansion of 0 in phi2 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.734 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.735 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.736 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 2.739 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.739 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.739 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.739 * [backup-simplify]: Simplify 1/6 into 1/6 2.739 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.739 * [taylor]: Taking taylor expansion of phi2 in phi2 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 2.745 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.746 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.747 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 2.751 * [taylor]: Taking taylor expansion of 0 in phi2 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 2.751 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.751 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 2.751 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 2.751 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.751 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.751 * [taylor]: Taking taylor expansion of phi2 in phi2 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (/ 1 1) into 1 2.752 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.752 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.752 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.752 * [taylor]: Taking taylor expansion of phi1 in phi2 2.752 * [backup-simplify]: Simplify phi1 into phi1 2.752 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.752 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.752 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.752 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 2.752 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.752 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.752 * [taylor]: Taking taylor expansion of phi2 in phi1 2.752 * [backup-simplify]: Simplify phi2 into phi2 2.752 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.753 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.753 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.753 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.753 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.753 * [taylor]: Taking taylor expansion of phi1 in phi1 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.753 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 2.753 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.753 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.753 * [taylor]: Taking taylor expansion of phi2 in phi1 2.753 * [backup-simplify]: Simplify phi2 into phi2 2.753 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 2.753 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.754 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 2.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.754 * [taylor]: Taking taylor expansion of phi1 in phi1 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (/ 1 1) into 1 2.754 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.754 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 2.754 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 2.755 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 2.755 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.755 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 2.755 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.755 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.755 * [taylor]: Taking taylor expansion of phi2 in phi2 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 2.755 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.755 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.755 * [taylor]: Taking taylor expansion of phi1 in phi2 2.756 * [backup-simplify]: Simplify phi1 into phi1 2.756 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 2.756 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 2.756 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 2.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 2.756 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 2.756 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 2.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.756 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 2.757 * [backup-simplify]: Simplify (+ 0) into 0 2.757 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.759 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 2.759 * [taylor]: Taking taylor expansion of 0 in phi2 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (+ 0) into 0 2.760 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 2.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.762 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 2.762 * [backup-simplify]: Simplify (+ 0 0) into 0 2.762 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.764 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 2.766 * [taylor]: Taking taylor expansion of 0 in phi2 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.769 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.773 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 2.776 * [taylor]: Taking taylor expansion of 0 in phi2 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 2.777 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.777 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.777 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.777 * [taylor]: Taking taylor expansion of -1 in phi2 2.777 * [backup-simplify]: Simplify -1 into -1 2.777 * [taylor]: Taking taylor expansion of phi1 in phi2 2.777 * [backup-simplify]: Simplify phi1 into phi1 2.777 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.777 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.777 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.777 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.777 * [taylor]: Taking taylor expansion of -1 in phi2 2.777 * [backup-simplify]: Simplify -1 into -1 2.777 * [taylor]: Taking taylor expansion of phi2 in phi2 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ -1 1) into -1 2.778 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.778 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.778 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.778 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.778 * [taylor]: Taking taylor expansion of -1 in phi1 2.778 * [backup-simplify]: Simplify -1 into -1 2.778 * [taylor]: Taking taylor expansion of phi1 in phi1 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ -1 1) into -1 2.779 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.779 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.779 * [taylor]: Taking taylor expansion of -1 in phi1 2.779 * [backup-simplify]: Simplify -1 into -1 2.779 * [taylor]: Taking taylor expansion of phi2 in phi1 2.779 * [backup-simplify]: Simplify phi2 into phi2 2.779 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.779 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.779 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.779 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.779 * [taylor]: Taking taylor expansion of -1 in phi1 2.779 * [backup-simplify]: Simplify -1 into -1 2.779 * [taylor]: Taking taylor expansion of phi1 in phi1 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ -1 1) into -1 2.779 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.780 * [taylor]: Taking taylor expansion of -1 in phi1 2.780 * [backup-simplify]: Simplify -1 into -1 2.780 * [taylor]: Taking taylor expansion of phi2 in phi1 2.780 * [backup-simplify]: Simplify phi2 into phi2 2.780 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 2.780 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.780 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 2.780 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 2.780 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 2.780 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 2.780 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.780 * [taylor]: Taking taylor expansion of -1 in phi2 2.780 * [backup-simplify]: Simplify -1 into -1 2.780 * [taylor]: Taking taylor expansion of phi1 in phi2 2.780 * [backup-simplify]: Simplify phi1 into phi1 2.780 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 2.780 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 2.780 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.780 * [taylor]: Taking taylor expansion of -1 in phi2 2.780 * [backup-simplify]: Simplify -1 into -1 2.780 * [taylor]: Taking taylor expansion of phi2 in phi2 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (/ -1 1) into -1 2.781 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 2.781 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 2.781 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 2.781 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 2.781 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.781 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 2.781 * [backup-simplify]: Simplify (+ 0) into 0 2.782 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 2.782 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 2.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.783 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.783 * [taylor]: Taking taylor expansion of 0 in phi2 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ 0) into 0 2.784 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.786 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.786 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.786 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.787 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.787 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.787 * [taylor]: Taking taylor expansion of 0 in phi2 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.788 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.788 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 2.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.789 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.791 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.793 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.793 * [backup-simplify]: Simplify (+ 0 0) into 0 2.793 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 2.793 * [taylor]: Taking taylor expansion of 0 in phi2 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 2.794 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 2.794 * [backup-simplify]: Simplify (* (sin lambda2) (sin lambda1)) into (* (sin lambda2) (sin lambda1)) 2.794 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda2 lambda1) around 0 2.794 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 2.794 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.794 * [backup-simplify]: Simplify lambda2 into lambda2 2.794 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 2.794 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 2.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 2.794 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.794 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.794 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.794 * [backup-simplify]: Simplify lambda1 into lambda1 2.794 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.794 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.794 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 2.794 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.794 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.794 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.794 * [backup-simplify]: Simplify lambda1 into lambda1 2.794 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 2.794 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 2.794 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 2.794 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 2.794 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 2.795 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 2.795 * [taylor]: Taking taylor expansion of 0 in lambda1 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ 0) into 0 2.795 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.796 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 2.796 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.797 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 2.797 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.797 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.798 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 2.798 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.799 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 2.799 * [backup-simplify]: Simplify (+ 0 0) into 0 2.799 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0 2.800 * [taylor]: Taking taylor expansion of 0 in lambda1 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.802 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.803 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 2.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda1))))) into (- (* 1/6 (sin lambda1))) 2.805 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda1))) in lambda1 2.805 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda1)) in lambda1 2.805 * [taylor]: Taking taylor expansion of 1/6 in lambda1 2.805 * [backup-simplify]: Simplify 1/6 into 1/6 2.805 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.805 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1/6 0) into 0 2.805 * [backup-simplify]: Simplify (- 0) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 2.808 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.809 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.810 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda1)))))) into 0 2.812 * [taylor]: Taking taylor expansion of 0 in lambda1 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (* 1 (* lambda1 lambda2)) into (* lambda2 lambda1) 2.812 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2.812 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda2 lambda1) around 0 2.812 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 2.812 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.812 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.812 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.812 * [backup-simplify]: Simplify lambda2 into lambda2 2.812 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.812 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.812 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.812 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.812 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.813 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.813 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 2.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.813 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.813 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.814 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.814 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.814 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.814 * [backup-simplify]: Simplify lambda1 into lambda1 2.814 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.814 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.814 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 2.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.814 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.814 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.815 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.815 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.815 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.815 * [backup-simplify]: Simplify lambda1 into lambda1 2.815 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 2.815 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.815 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 2.815 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 2.815 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 2.815 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 2.815 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2.815 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 2.815 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.815 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.816 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.816 * [backup-simplify]: Simplify lambda2 into lambda2 2.816 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 2.816 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 2.816 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 2.816 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.816 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.816 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 2.816 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 2.817 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 2.817 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 2.817 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2.817 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 2.817 * [backup-simplify]: Simplify (+ 0) into 0 2.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.820 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 2.820 * [taylor]: Taking taylor expansion of 0 in lambda1 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ 0) into 0 2.821 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 2.823 * [backup-simplify]: Simplify (+ 0 0) into 0 2.823 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.825 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.826 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 2.827 * [taylor]: Taking taylor expansion of 0 in lambda1 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.829 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.830 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 0) into 0 2.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.833 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 2.837 * [taylor]: Taking taylor expansion of 0 in lambda1 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 2.837 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.837 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda2 lambda1) around 0 2.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.838 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.838 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.838 * [taylor]: Taking taylor expansion of -1 in lambda1 2.838 * [backup-simplify]: Simplify -1 into -1 2.838 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (/ -1 1) into -1 2.838 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.838 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.838 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.838 * [taylor]: Taking taylor expansion of -1 in lambda1 2.838 * [backup-simplify]: Simplify -1 into -1 2.838 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.838 * [backup-simplify]: Simplify lambda2 into lambda2 2.838 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.838 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.839 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.839 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.839 * [taylor]: Taking taylor expansion of -1 in lambda2 2.839 * [backup-simplify]: Simplify -1 into -1 2.839 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.839 * [backup-simplify]: Simplify lambda1 into lambda1 2.839 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.839 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.839 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.839 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.839 * [taylor]: Taking taylor expansion of -1 in lambda2 2.839 * [backup-simplify]: Simplify -1 into -1 2.839 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (/ -1 1) into -1 2.840 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.840 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.840 * [taylor]: Taking taylor expansion of -1 in lambda2 2.840 * [backup-simplify]: Simplify -1 into -1 2.840 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.840 * [backup-simplify]: Simplify lambda1 into lambda1 2.840 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 2.840 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.840 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.840 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.840 * [taylor]: Taking taylor expansion of -1 in lambda2 2.840 * [backup-simplify]: Simplify -1 into -1 2.841 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (/ -1 1) into -1 2.841 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.842 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 2.842 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 2.842 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 2.842 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.842 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.842 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.842 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.842 * [taylor]: Taking taylor expansion of -1 in lambda1 2.842 * [backup-simplify]: Simplify -1 into -1 2.842 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (/ -1 1) into -1 2.843 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 2.843 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.843 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.843 * [taylor]: Taking taylor expansion of -1 in lambda1 2.843 * [backup-simplify]: Simplify -1 into -1 2.843 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.843 * [backup-simplify]: Simplify lambda2 into lambda2 2.843 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 2.843 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 2.843 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 2.843 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 2.843 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 2.844 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 2.844 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.844 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 2.844 * [backup-simplify]: Simplify (+ 0) into 0 2.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in lambda1 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ 0) into 0 2.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 2.847 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.850 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.855 * [taylor]: Taking taylor expansion of 0 in lambda1 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.856 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 2.857 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 2.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 2.858 * [backup-simplify]: Simplify (+ 0 0) into 0 2.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.859 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 2.860 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 2.861 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 2.861 * [taylor]: Taking taylor expansion of 0 in lambda1 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 2.862 * * * [progress]: simplifying candidates 2.863 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) (* (sin lambda2) (sin lambda1)) (+ (log (sin lambda2)) (log (sin lambda1))) (log (* (sin lambda2) (sin lambda1))) (exp (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda2)) (sin lambda2)) (* (* (sin lambda1) (sin lambda1)) (sin lambda1))) (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sin lambda2) (* (cbrt (sin lambda1)) (cbrt (sin lambda1)))) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda2) 1) (* (cbrt (sin lambda2)) (sin lambda1)) (* (sqrt (sin lambda2)) (sin lambda1)) (* (sin lambda2) (sin lambda1)) (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) (* (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) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* (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)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) 2.864 * * [simplify]: iteration 0: 134 enodes 2.886 * * [simplify]: iteration 1: 276 enodes 2.970 * * [simplify]: iteration 2: 1013 enodes 3.490 * * [simplify]: iteration complete: 5000 enodes 3.490 * * [simplify]: Extracting #0: cost 51 inf + 0 3.491 * * [simplify]: Extracting #1: cost 614 inf + 0 3.495 * * [simplify]: Extracting #2: cost 1539 inf + 223 3.502 * * [simplify]: Extracting #3: cost 977 inf + 4531 3.519 * * [simplify]: Extracting #4: cost 612 inf + 8278 3.529 * * [simplify]: Extracting #5: cost 450 inf + 9566 3.539 * * [simplify]: Extracting #6: cost 302 inf + 14009 3.549 * * [simplify]: Extracting #7: cost 46 inf + 26854 3.560 * * [simplify]: Extracting #8: cost 0 inf + 29505 3.570 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) (log (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R)) (log (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R)) (pow (exp R) (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) (pow (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) 3) (* (cbrt (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R)) (pow (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) 3) (sqrt (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R)) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))) (* (sqrt R) (sqrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))) (* (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (cbrt R)) (cbrt R)) (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (* R (cbrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi2)) (sin phi1)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) (* (sin lambda2) (sin lambda1)) (log (* (sin lambda2) (sin lambda1))) (log (* (sin lambda2) (sin lambda1))) (pow (exp (sin lambda2)) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 3) (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (pow (* (sin lambda2) (sin lambda1)) 3) (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (cbrt (sin lambda1)) (* (sin lambda2) (cbrt (sin lambda1)))) (* (sin lambda2) (sqrt (sin lambda1))) (sin lambda2) (* (cbrt (sin lambda2)) (sin lambda1)) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda2) (sin lambda1)) (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (cos phi1)) (* (sin phi1) (sin phi2)))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda1 lambda2) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) 3.571 * * * [progress]: adding candidates to table 4.274 * * [progress]: iteration 3 / 4 4.274 * * * [progress]: picking best candidate 4.530 * * * * [pick]: Picked # 4.530 * * * [progress]: localizing error 4.639 * * * [progress]: generating rewritten candidates 4.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 4.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 4.663 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.676 * * * [progress]: generating series expansions 4.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 4.677 * [backup-simplify]: Simplify (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) into (* (sin lambda2) (sin lambda1)) 4.677 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda2 lambda1) around 0 4.677 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 4.677 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.677 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.677 * [backup-simplify]: Simplify lambda2 into lambda2 4.677 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.677 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.677 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.677 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 4.677 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.677 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.677 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.677 * [backup-simplify]: Simplify lambda1 into lambda1 4.677 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.677 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.677 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 4.677 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.678 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.678 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.678 * [backup-simplify]: Simplify lambda1 into lambda1 4.678 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.678 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.678 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 4.678 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 4.678 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 4.678 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 4.678 * [taylor]: Taking taylor expansion of 0 in lambda1 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (+ 0) into 0 4.680 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.682 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.683 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 4.684 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.684 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.686 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 4.686 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.687 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 4.687 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0 4.689 * [taylor]: Taking taylor expansion of 0 in lambda1 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.690 * [backup-simplify]: Simplify 1 into 1 4.690 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.692 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.694 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.694 * [backup-simplify]: Simplify (+ 0 0) into 0 4.696 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda1))))) into (- (* 1/6 (sin lambda1))) 4.697 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda1))) in lambda1 4.697 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda1)) in lambda1 4.697 * [taylor]: Taking taylor expansion of 1/6 in lambda1 4.697 * [backup-simplify]: Simplify 1/6 into 1/6 4.697 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.697 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.698 * [backup-simplify]: Simplify (- 0) into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.702 * [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 4.703 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.704 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.705 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda1)))))) into 0 4.709 * [taylor]: Taking taylor expansion of 0 in lambda1 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (* 1 (* lambda1 lambda2)) into (* lambda2 lambda1) 4.709 * [backup-simplify]: Simplify (cbrt (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3)) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.709 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda2 lambda1) around 0 4.709 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.710 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.710 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.710 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.710 * [backup-simplify]: Simplify lambda2 into lambda2 4.710 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.710 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.710 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.710 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.710 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.710 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 1 into 1 4.710 * [backup-simplify]: Simplify (/ 1 1) into 1 4.710 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.710 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.711 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.711 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.711 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.711 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.711 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.711 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.711 * [backup-simplify]: Simplify lambda1 into lambda1 4.711 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.711 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.711 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.711 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.712 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.712 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.712 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [backup-simplify]: Simplify (/ 1 1) into 1 4.712 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.712 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.712 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.712 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.712 * [backup-simplify]: Simplify lambda1 into lambda1 4.712 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.712 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.713 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.713 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.713 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.713 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.713 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.713 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.713 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.713 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.713 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.713 * [backup-simplify]: Simplify lambda2 into lambda2 4.713 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.714 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.714 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.714 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.714 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.714 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (/ 1 1) into 1 4.714 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.714 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.715 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.715 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.715 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.715 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.715 * [backup-simplify]: Simplify (+ 0) into 0 4.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.717 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.718 * [backup-simplify]: Simplify (+ 0 0) into 0 4.718 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.718 * [taylor]: Taking taylor expansion of 0 in lambda1 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify (+ 0) into 0 4.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.720 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.720 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.721 * [backup-simplify]: Simplify (+ 0 0) into 0 4.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.721 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.724 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.726 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.726 * [taylor]: Taking taylor expansion of 0 in lambda1 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.727 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.728 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.729 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.730 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.732 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.734 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.735 * [backup-simplify]: Simplify (+ 0 0) into 0 4.736 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 4.736 * [taylor]: Taking taylor expansion of 0 in lambda1 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 4.736 * [backup-simplify]: Simplify (cbrt (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3)) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.736 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda2 lambda1) around 0 4.736 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.736 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.736 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.736 * [taylor]: Taking taylor expansion of -1 in lambda1 4.736 * [backup-simplify]: Simplify -1 into -1 4.736 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ -1 1) into -1 4.737 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.737 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.737 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.737 * [taylor]: Taking taylor expansion of -1 in lambda1 4.737 * [backup-simplify]: Simplify -1 into -1 4.737 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.737 * [backup-simplify]: Simplify lambda2 into lambda2 4.737 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.737 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.737 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.737 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.737 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.737 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.737 * [taylor]: Taking taylor expansion of -1 in lambda2 4.738 * [backup-simplify]: Simplify -1 into -1 4.738 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.738 * [backup-simplify]: Simplify lambda1 into lambda1 4.738 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.738 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.738 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.738 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.738 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.738 * [taylor]: Taking taylor expansion of -1 in lambda2 4.738 * [backup-simplify]: Simplify -1 into -1 4.738 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (/ -1 1) into -1 4.739 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.739 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.739 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.739 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.739 * [taylor]: Taking taylor expansion of -1 in lambda2 4.739 * [backup-simplify]: Simplify -1 into -1 4.739 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.739 * [backup-simplify]: Simplify lambda1 into lambda1 4.739 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.739 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.739 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.739 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.739 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.739 * [taylor]: Taking taylor expansion of -1 in lambda2 4.739 * [backup-simplify]: Simplify -1 into -1 4.739 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (/ -1 1) into -1 4.740 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.740 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.740 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.740 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.740 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.740 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.740 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.740 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.740 * [taylor]: Taking taylor expansion of -1 in lambda1 4.740 * [backup-simplify]: Simplify -1 into -1 4.740 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (/ -1 1) into -1 4.741 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.741 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.741 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.741 * [taylor]: Taking taylor expansion of -1 in lambda1 4.741 * [backup-simplify]: Simplify -1 into -1 4.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.741 * [backup-simplify]: Simplify lambda2 into lambda2 4.741 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.741 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.741 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.741 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.742 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.742 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.742 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.742 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.743 * [backup-simplify]: Simplify (+ 0) into 0 4.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.743 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.745 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.745 * [taylor]: Taking taylor expansion of 0 in lambda1 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify (+ 0) into 0 4.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.746 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.747 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.748 * [backup-simplify]: Simplify (+ 0 0) into 0 4.748 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.750 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.750 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.752 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.753 * [taylor]: Taking taylor expansion of 0 in lambda1 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.755 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.755 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.756 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.756 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.757 * [backup-simplify]: Simplify (+ 0 0) into 0 4.757 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.757 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.759 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.761 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.761 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.762 * [backup-simplify]: Simplify (+ 0 0) into 0 4.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 4.763 * [taylor]: Taking taylor expansion of 0 in lambda1 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 4.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.764 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.764 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 4.764 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 4.765 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.765 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 4.766 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.766 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 4.766 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.766 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 4.767 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.767 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 4.768 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.768 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 4.769 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.769 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 4.769 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.769 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 4.770 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.771 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.771 * [taylor]: Taking taylor expansion of 0 in phi2 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in lambda1 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in lambda2 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in lambda1 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in lambda2 4.771 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [taylor]: Taking taylor expansion of 0 in lambda2 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [taylor]: Taking taylor expansion of 0 in phi2 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [taylor]: Taking taylor expansion of 0 in lambda1 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [taylor]: Taking taylor expansion of 0 in lambda2 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [taylor]: Taking taylor expansion of 0 in lambda1 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [taylor]: Taking taylor expansion of 0 in lambda2 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.774 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3)))))) 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)))))))) 4.774 * [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 4.774 * [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 4.775 * [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)))))))) 4.775 * [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 4.776 * [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)))))))) 4.776 * [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 4.777 * [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)))))))) 4.777 * [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 4.778 * [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)))))))) 4.778 * [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 4.779 * [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)))))))) 4.779 * [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 4.780 * [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)))))))) 4.780 * [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 4.781 * [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)))))))) 4.781 * [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 4.782 * [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)))))))) 4.788 * [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)))))))) 4.788 * [taylor]: Taking taylor expansion of 0 in phi2 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [taylor]: Taking taylor expansion of 0 in lambda1 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [taylor]: Taking taylor expansion of 0 in lambda2 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [taylor]: Taking taylor expansion of 0 in lambda1 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [taylor]: Taking taylor expansion of 0 in lambda2 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [taylor]: Taking taylor expansion of 0 in lambda2 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [taylor]: Taking taylor expansion of 0 in phi2 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [taylor]: Taking taylor expansion of 0 in lambda1 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [taylor]: Taking taylor expansion of 0 in lambda2 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [taylor]: Taking taylor expansion of 0 in lambda1 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [taylor]: Taking taylor expansion of 0 in lambda2 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.790 * [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))))) 4.791 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3)))))) 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)))))))) 4.791 * [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 4.791 * [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 4.792 * [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)))))))) 4.792 * [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 4.793 * [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)))))))) 4.793 * [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 4.794 * [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)))))))) 4.794 * [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 4.795 * [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)))))))) 4.795 * [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 4.796 * [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)))))))) 4.796 * [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 4.797 * [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)))))))) 4.797 * [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 4.798 * [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)))))))) 4.798 * [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 4.799 * [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)))))))) 4.800 * [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)))))))) 4.801 * [taylor]: Taking taylor expansion of 0 in phi2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda1 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda1 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in phi2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda1 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda1 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [taylor]: Taking taylor expansion of 0 in lambda2 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 0 into 0 4.803 * [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))))) 4.803 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 4.803 * [backup-simplify]: Simplify (pow (* (sin lambda2) (sin lambda1)) 3) into (pow (* (sin lambda2) (sin lambda1)) 3) 4.803 * [approximate]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in (lambda2 lambda1) around 0 4.803 * [taylor]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in lambda1 4.804 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 4.804 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.804 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.804 * [backup-simplify]: Simplify lambda2 into lambda2 4.804 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.804 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.804 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.804 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.804 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.804 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.804 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 4.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.806 * [backup-simplify]: Simplify (+ 0) into 0 4.806 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.807 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.807 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.808 * [backup-simplify]: Simplify (+ 0 0) into 0 4.808 * [backup-simplify]: Simplify (+ (* (sin lambda2) 1) (* 0 0)) into (sin lambda2) 4.809 * [taylor]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in lambda2 4.809 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 4.809 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.809 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.809 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.809 * [backup-simplify]: Simplify lambda1 into lambda1 4.809 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.809 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.809 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 4.809 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 4.809 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 4.810 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 4.810 * [backup-simplify]: Simplify (+ 0) into 0 4.811 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 4.812 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.812 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 4.813 * [backup-simplify]: Simplify (+ 0 0) into 0 4.813 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.814 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 4.814 * [taylor]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in lambda2 4.814 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 4.814 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.814 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.814 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.814 * [backup-simplify]: Simplify lambda1 into lambda1 4.814 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.814 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.814 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 4.814 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 4.814 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 4.814 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 4.815 * [backup-simplify]: Simplify (+ 0) into 0 4.815 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 4.816 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.816 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 4.817 * [backup-simplify]: Simplify (+ 0 0) into 0 4.817 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.818 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 4.818 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda1)) into (pow (sin lambda1) 2) 4.818 * [backup-simplify]: Simplify (* (sin lambda1) (pow (sin lambda1) 2)) into (pow (sin lambda1) 3) 4.818 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 4.819 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.819 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify 1 into 1 4.821 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.822 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 4.822 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.823 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 4.823 * [backup-simplify]: Simplify (+ 0 0) into 0 4.824 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda1))) into 0 4.825 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (pow (sin lambda1) 2))) into 0 4.825 * [taylor]: Taking taylor expansion of 0 in lambda1 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.829 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.831 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.832 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.832 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda1))))) into (- (* 1/6 (sin lambda1))) 4.836 * [backup-simplify]: Simplify (+ (* (sin lambda1) (- (* 1/6 (sin lambda1)))) (+ (* 0 0) (* (- (* 1/6 (sin lambda1))) (sin lambda1)))) into (- (* 1/3 (pow (sin lambda1) 2))) 4.837 * [backup-simplify]: Simplify (+ (* (sin lambda1) (- (* 1/3 (pow (sin lambda1) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin lambda1))) (pow (sin lambda1) 2)))) into (- (* 1/2 (pow (sin lambda1) 3))) 4.837 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda1) 3))) in lambda1 4.837 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda1) 3)) in lambda1 4.837 * [taylor]: Taking taylor expansion of 1/2 in lambda1 4.837 * [backup-simplify]: Simplify 1/2 into 1/2 4.837 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 4.837 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.837 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.838 * [backup-simplify]: Simplify (* 1 1) into 1 4.839 * [backup-simplify]: Simplify (* 1 1) into 1 4.839 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.840 * [backup-simplify]: Simplify (- 1/2) into -1/2 4.840 * [backup-simplify]: Simplify -1/2 into -1/2 4.840 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.842 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 4.843 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 4.843 * [backup-simplify]: Simplify -1/2 into -1/2 4.844 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow lambda1 5) (pow lambda2 3))) (+ (* -1/2 (* (pow lambda1 3) (pow lambda2 5))) (* 1 (pow (* lambda1 lambda2) 3)))) into (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) 4.845 * [backup-simplify]: Simplify (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) 4.845 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in (lambda2 lambda1) around 0 4.845 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda1 4.845 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.845 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.845 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.845 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.845 * [backup-simplify]: Simplify lambda2 into lambda2 4.845 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.845 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.845 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.845 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.845 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.845 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.846 * [backup-simplify]: Simplify (/ 1 1) into 1 4.846 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.846 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.846 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.846 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.846 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.846 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda2 4.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.846 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.846 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 1 into 1 4.847 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.847 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.847 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.847 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.847 * [backup-simplify]: Simplify lambda1 into lambda1 4.847 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.847 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.847 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.847 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.847 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.848 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.848 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.848 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda2 4.848 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.848 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.848 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.848 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ 1 1) into 1 4.848 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.848 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.848 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.848 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.848 * [backup-simplify]: Simplify lambda1 into lambda1 4.848 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.849 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.849 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.849 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.849 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.849 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.849 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.849 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 4.850 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 4.850 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in lambda1 4.850 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda1 4.850 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.850 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.850 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.850 * [backup-simplify]: Simplify lambda2 into lambda2 4.850 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.850 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.850 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.850 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.851 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.851 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.851 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda1 4.851 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.851 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.851 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.852 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 4.852 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (pow (sin (/ 1 lambda2)) 2)) into (pow (sin (/ 1 lambda2)) 3) 4.852 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 4.852 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (pow (sin (/ 1 lambda1)) 2)) into (pow (sin (/ 1 lambda1)) 3) 4.852 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 4.853 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 4.853 * [backup-simplify]: Simplify (+ 0) into 0 4.854 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.855 * [backup-simplify]: Simplify (+ 0 0) into 0 4.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.856 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into 0 4.857 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (* 0 (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)))) into 0 4.857 * [taylor]: Taking taylor expansion of 0 in lambda1 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.857 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 4.857 * [backup-simplify]: Simplify (+ 0) into 0 4.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.859 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.860 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 4.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (pow (sin (/ 1 lambda2)) 2))) into 0 4.861 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (* 0 (pow (sin (/ 1 lambda1)) 3))) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.863 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.863 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.864 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.865 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into 0 4.866 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))))) into 0 4.866 * [taylor]: Taking taylor expansion of 0 in lambda1 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 4.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.867 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.868 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.868 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.869 * [backup-simplify]: Simplify (+ 0 0) into 0 4.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 4.869 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 2)))) into 0 4.870 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 3)))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.872 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 4.874 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into 0 4.875 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)))))) into 0 4.875 * [taylor]: Taking taylor expansion of 0 in lambda1 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda2))) 3) (pow (sin (/ 1 (/ 1 lambda1))) 3)) into (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) 4.875 * [backup-simplify]: Simplify (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) 4.875 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda2 lambda1) around 0 4.875 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 4.875 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.875 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.875 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.875 * [taylor]: Taking taylor expansion of -1 in lambda1 4.875 * [backup-simplify]: Simplify -1 into -1 4.875 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.876 * [backup-simplify]: Simplify (/ -1 1) into -1 4.876 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.876 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.876 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.876 * [taylor]: Taking taylor expansion of -1 in lambda1 4.876 * [backup-simplify]: Simplify -1 into -1 4.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.876 * [backup-simplify]: Simplify lambda2 into lambda2 4.876 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.876 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.876 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.876 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.876 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.876 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.876 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.876 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 4.876 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.876 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.876 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.876 * [taylor]: Taking taylor expansion of -1 in lambda2 4.876 * [backup-simplify]: Simplify -1 into -1 4.876 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.876 * [backup-simplify]: Simplify lambda1 into lambda1 4.876 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.876 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.876 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.876 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.876 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.876 * [taylor]: Taking taylor expansion of -1 in lambda2 4.876 * [backup-simplify]: Simplify -1 into -1 4.876 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify (/ -1 1) into -1 4.877 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.877 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.877 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.877 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.877 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.877 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 4.877 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.877 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.877 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.877 * [taylor]: Taking taylor expansion of -1 in lambda2 4.877 * [backup-simplify]: Simplify -1 into -1 4.877 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.877 * [backup-simplify]: Simplify lambda1 into lambda1 4.877 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.877 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.877 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.877 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.877 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.877 * [taylor]: Taking taylor expansion of -1 in lambda2 4.877 * [backup-simplify]: Simplify -1 into -1 4.877 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (/ -1 1) into -1 4.878 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.878 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.878 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.878 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.878 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.878 * [backup-simplify]: Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 4.879 * [backup-simplify]: Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 4.879 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda1 4.879 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda1 4.879 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.879 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.879 * [taylor]: Taking taylor expansion of -1 in lambda1 4.879 * [backup-simplify]: Simplify -1 into -1 4.879 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.879 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify 1 into 1 4.879 * [backup-simplify]: Simplify (/ -1 1) into -1 4.879 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.879 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda1 4.879 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.879 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.879 * [taylor]: Taking taylor expansion of -1 in lambda1 4.879 * [backup-simplify]: Simplify -1 into -1 4.879 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.879 * [backup-simplify]: Simplify lambda2 into lambda2 4.879 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.879 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.879 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.879 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.880 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.880 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.880 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 4.880 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (pow (sin (/ -1 lambda1)) 2)) into (pow (sin (/ -1 lambda1)) 3) 4.880 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 4.880 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (pow (sin (/ -1 lambda2)) 2)) into (pow (sin (/ -1 lambda2)) 3) 4.880 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 4.880 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 4.881 * [backup-simplify]: Simplify (+ 0) into 0 4.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.881 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.882 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.882 * [backup-simplify]: Simplify (+ 0 0) into 0 4.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.882 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into 0 4.883 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)))) into 0 4.883 * [taylor]: Taking taylor expansion of 0 in lambda1 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify (+ 0) into 0 4.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.884 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 4.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (pow (sin (/ -1 lambda1)) 2))) into 0 4.885 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (* 0 (pow (sin (/ -1 lambda2)) 3))) into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.886 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.887 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.888 * [backup-simplify]: Simplify (+ 0 0) into 0 4.888 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.888 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0 4.889 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))))) into 0 4.889 * [taylor]: Taking taylor expansion of 0 in lambda1 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.890 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.890 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 4.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 4.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda1)) 2)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 3)))) into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.899 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.900 * [backup-simplify]: Simplify (+ 0 0) into 0 4.900 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 4.902 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into 0 4.903 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)))))) into 0 4.903 * [taylor]: Taking taylor expansion of 0 in lambda1 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 3) (pow (sin (/ -1 (/ 1 (- lambda2)))) 3)) into (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 4.904 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.904 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.904 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.904 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 4.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 4.905 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.905 * [taylor]: Taking taylor expansion of R in R 4.905 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 4.905 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 4.906 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.906 * [taylor]: Taking taylor expansion of R in lambda2 4.906 * [backup-simplify]: Simplify R into R 4.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 4.906 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 4.907 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.907 * [taylor]: Taking taylor expansion of R in lambda1 4.907 * [backup-simplify]: Simplify R into R 4.907 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 4.907 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 4.907 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.907 * [taylor]: Taking taylor expansion of R in phi2 4.907 * [backup-simplify]: Simplify R into R 4.907 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 4.907 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 4.908 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.908 * [taylor]: Taking taylor expansion of R in phi1 4.908 * [backup-simplify]: Simplify R into R 4.908 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 4.908 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 4.908 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.908 * [taylor]: Taking taylor expansion of R in phi1 4.908 * [backup-simplify]: Simplify R into R 4.909 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.909 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 4.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 4.909 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.909 * [taylor]: Taking taylor expansion of R in phi2 4.909 * [backup-simplify]: Simplify R into R 4.910 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.910 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 4.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 4.910 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.910 * [taylor]: Taking taylor expansion of R in lambda1 4.910 * [backup-simplify]: Simplify R into R 4.910 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.910 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 4.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 4.911 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.911 * [taylor]: Taking taylor expansion of R in lambda2 4.911 * [backup-simplify]: Simplify R into R 4.911 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.911 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 4.911 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 4.912 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.912 * [taylor]: Taking taylor expansion of R in R 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 4.913 * [taylor]: Taking taylor expansion of 0 in phi2 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in lambda1 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in lambda2 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in R 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 4.913 * [taylor]: Taking taylor expansion of 0 in lambda1 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in lambda2 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in R 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 4.914 * [taylor]: Taking taylor expansion of 0 in lambda2 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [taylor]: Taking taylor expansion of 0 in R 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 4.915 * [taylor]: Taking taylor expansion of 0 in R 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.916 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.917 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 4.917 * [taylor]: Taking taylor expansion of 0 in phi2 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [taylor]: Taking taylor expansion of 0 in lambda1 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [taylor]: Taking taylor expansion of 0 in lambda2 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [taylor]: Taking taylor expansion of 0 in R 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [taylor]: Taking taylor expansion of 0 in lambda1 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [taylor]: Taking taylor expansion of 0 in lambda2 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [taylor]: Taking taylor expansion of 0 in R 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 4.918 * [taylor]: Taking taylor expansion of 0 in lambda1 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [taylor]: Taking taylor expansion of 0 in lambda2 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [taylor]: Taking taylor expansion of 0 in R 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [taylor]: Taking taylor expansion of 0 in lambda2 4.918 * [backup-simplify]: Simplify 0 into 0 4.918 * [taylor]: Taking taylor expansion of 0 in R 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [taylor]: Taking taylor expansion of 0 in lambda2 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [taylor]: Taking taylor expansion of 0 in R 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 4.919 * [taylor]: Taking taylor expansion of 0 in lambda2 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [taylor]: Taking taylor expansion of 0 in R 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* 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) 4.921 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3)))))) (/ 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) 4.921 * [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 4.921 * [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)))))))) R) in R 4.921 * [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 R 4.921 * [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)))))))) 4.921 * [taylor]: Taking taylor expansion of R in R 4.921 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [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)))))))) 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)))))))) 4.922 * [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)))))))) R) in lambda2 4.922 * [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 lambda2 4.923 * [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)))))))) 4.923 * [taylor]: Taking taylor expansion of R in lambda2 4.923 * [backup-simplify]: Simplify R into R 4.923 * [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)))))))) 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) 4.924 * [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)))))))) R) in lambda1 4.924 * [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 4.924 * [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)))))))) 4.924 * [taylor]: Taking taylor expansion of R in lambda1 4.924 * [backup-simplify]: Simplify R into R 4.925 * [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)))))))) 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) 4.925 * [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)))))))) R) in phi2 4.925 * [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 phi2 4.925 * [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)))))))) 4.925 * [taylor]: Taking taylor expansion of R in phi2 4.925 * [backup-simplify]: Simplify R into R 4.926 * [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)))))))) 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) 4.926 * [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 4.926 * [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 4.926 * [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)))))))) 4.926 * [taylor]: Taking taylor expansion of R in phi1 4.926 * [backup-simplify]: Simplify R into R 4.930 * [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) 4.930 * [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 4.930 * [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 4.931 * [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)))))))) 4.931 * [taylor]: Taking taylor expansion of R in phi1 4.931 * [backup-simplify]: Simplify R into R 4.931 * [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) 4.931 * [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 4.931 * [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 4.932 * [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)))))))) 4.932 * [taylor]: Taking taylor expansion of R in phi2 4.932 * [backup-simplify]: Simplify R into R 4.933 * [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) 4.933 * [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 4.933 * [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 4.933 * [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)))))))) 4.933 * [taylor]: Taking taylor expansion of R in lambda1 4.933 * [backup-simplify]: Simplify R into R 4.934 * [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) 4.934 * [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 4.934 * [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 4.934 * [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)))))))) 4.934 * [taylor]: Taking taylor expansion of R in lambda2 4.934 * [backup-simplify]: Simplify R into R 4.935 * [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) 4.935 * [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 4.935 * [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 4.936 * [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)))))))) 4.936 * [taylor]: Taking taylor expansion of R in R 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.937 * [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)))))))) 4.938 * [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)))))))) 4.940 * [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 4.940 * [taylor]: Taking taylor expansion of 0 in phi2 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [taylor]: Taking taylor expansion of 0 in lambda1 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [taylor]: Taking taylor expansion of 0 in lambda2 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [taylor]: Taking taylor expansion of 0 in R 4.940 * [backup-simplify]: Simplify 0 into 0 4.942 * [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 4.942 * [taylor]: Taking taylor expansion of 0 in lambda1 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [taylor]: Taking taylor expansion of 0 in lambda2 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [taylor]: Taking taylor expansion of 0 in R 4.942 * [backup-simplify]: Simplify 0 into 0 4.944 * [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 4.944 * [taylor]: Taking taylor expansion of 0 in lambda2 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [taylor]: Taking taylor expansion of 0 in R 4.944 * [backup-simplify]: Simplify 0 into 0 4.945 * [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 4.945 * [taylor]: Taking taylor expansion of 0 in R 4.945 * [backup-simplify]: Simplify 0 into 0 4.948 * [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 4.948 * [backup-simplify]: Simplify 0 into 0 4.949 * [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 4.949 * [taylor]: Taking taylor expansion of 0 in phi2 4.949 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in lambda1 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in lambda2 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in R 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in lambda1 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in lambda2 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [taylor]: Taking taylor expansion of 0 in R 4.950 * [backup-simplify]: Simplify 0 into 0 4.951 * [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 4.951 * [taylor]: Taking taylor expansion of 0 in lambda1 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [taylor]: Taking taylor expansion of 0 in lambda2 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [taylor]: Taking taylor expansion of 0 in R 4.951 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in lambda2 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in R 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in lambda2 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in R 4.952 * [backup-simplify]: Simplify 0 into 0 4.953 * [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 4.953 * [taylor]: Taking taylor expansion of 0 in lambda2 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [taylor]: Taking taylor expansion of 0 in R 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [taylor]: Taking taylor expansion of 0 in R 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [taylor]: Taking taylor expansion of 0 in R 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [taylor]: Taking taylor expansion of 0 in R 4.953 * [backup-simplify]: Simplify 0 into 0 4.955 * [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 4.955 * [taylor]: Taking taylor expansion of 0 in R 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 0 into 0 4.955 * [backup-simplify]: Simplify 0 into 0 4.958 * [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 4.958 * [backup-simplify]: Simplify 0 into 0 4.960 * [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) 4.961 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3)))))) (/ 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)) 4.961 * [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 4.961 * [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 4.961 * [taylor]: Taking taylor expansion of -1 in R 4.961 * [backup-simplify]: Simplify -1 into -1 4.961 * [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 4.961 * [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 4.962 * [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)))))))) 4.962 * [taylor]: Taking taylor expansion of R in R 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 1 into 1 4.964 * [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)))))))) 4.964 * [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 4.964 * [taylor]: Taking taylor expansion of -1 in lambda2 4.964 * [backup-simplify]: Simplify -1 into -1 4.964 * [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 4.964 * [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 4.965 * [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)))))))) 4.965 * [taylor]: Taking taylor expansion of R in lambda2 4.965 * [backup-simplify]: Simplify R into R 4.966 * [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) 4.966 * [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 4.966 * [taylor]: Taking taylor expansion of -1 in lambda1 4.966 * [backup-simplify]: Simplify -1 into -1 4.966 * [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 4.966 * [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 4.967 * [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)))))))) 4.967 * [taylor]: Taking taylor expansion of R in lambda1 4.967 * [backup-simplify]: Simplify R into R 4.968 * [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) 4.968 * [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 4.968 * [taylor]: Taking taylor expansion of -1 in phi2 4.968 * [backup-simplify]: Simplify -1 into -1 4.968 * [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 4.968 * [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 4.969 * [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)))))))) 4.970 * [taylor]: Taking taylor expansion of R in phi2 4.970 * [backup-simplify]: Simplify R into R 4.971 * [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) 4.971 * [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 4.971 * [taylor]: Taking taylor expansion of -1 in phi1 4.971 * [backup-simplify]: Simplify -1 into -1 4.971 * [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 4.971 * [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 4.972 * [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)))))))) 4.972 * [taylor]: Taking taylor expansion of R in phi1 4.972 * [backup-simplify]: Simplify R into R 4.973 * [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) 4.973 * [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 4.973 * [taylor]: Taking taylor expansion of -1 in phi1 4.973 * [backup-simplify]: Simplify -1 into -1 4.974 * [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 4.974 * [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 4.975 * [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)))))))) 4.975 * [taylor]: Taking taylor expansion of R in phi1 4.975 * [backup-simplify]: Simplify R into R 4.976 * [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) 4.977 * [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)) 4.977 * [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 4.977 * [taylor]: Taking taylor expansion of -1 in phi2 4.977 * [backup-simplify]: Simplify -1 into -1 4.977 * [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 4.977 * [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 4.978 * [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)))))))) 4.978 * [taylor]: Taking taylor expansion of R in phi2 4.978 * [backup-simplify]: Simplify R into R 4.979 * [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) 4.980 * [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)) 4.981 * [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 4.981 * [taylor]: Taking taylor expansion of -1 in lambda1 4.981 * [backup-simplify]: Simplify -1 into -1 4.981 * [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 4.981 * [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 4.982 * [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)))))))) 4.982 * [taylor]: Taking taylor expansion of R in lambda1 4.982 * [backup-simplify]: Simplify R into R 4.983 * [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) 4.984 * [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)) 4.984 * [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 4.984 * [taylor]: Taking taylor expansion of -1 in lambda2 4.984 * [backup-simplify]: Simplify -1 into -1 4.984 * [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 4.984 * [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 4.985 * [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)))))))) 4.985 * [taylor]: Taking taylor expansion of R in lambda2 4.985 * [backup-simplify]: Simplify R into R 4.986 * [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) 4.988 * [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)) 4.988 * [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 4.988 * [taylor]: Taking taylor expansion of -1 in R 4.988 * [backup-simplify]: Simplify -1 into -1 4.988 * [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 4.988 * [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 4.989 * [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)))))))) 4.989 * [taylor]: Taking taylor expansion of R in R 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.990 * [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)))))))) 4.991 * [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))))))))) 4.992 * [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))))))))) 4.994 * [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 4.995 * [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 4.995 * [taylor]: Taking taylor expansion of 0 in phi2 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [taylor]: Taking taylor expansion of 0 in lambda1 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [taylor]: Taking taylor expansion of 0 in lambda2 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [taylor]: Taking taylor expansion of 0 in R 4.996 * [backup-simplify]: Simplify 0 into 0 4.997 * [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 4.999 * [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 4.999 * [taylor]: Taking taylor expansion of 0 in lambda1 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [taylor]: Taking taylor expansion of 0 in lambda2 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [taylor]: Taking taylor expansion of 0 in R 4.999 * [backup-simplify]: Simplify 0 into 0 5.000 * [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 5.002 * [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 5.002 * [taylor]: Taking taylor expansion of 0 in lambda2 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [taylor]: Taking taylor expansion of 0 in R 5.002 * [backup-simplify]: Simplify 0 into 0 5.003 * [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 5.005 * [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 5.005 * [taylor]: Taking taylor expansion of 0 in R 5.005 * [backup-simplify]: Simplify 0 into 0 5.008 * [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 5.009 * [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 5.009 * [backup-simplify]: Simplify 0 into 0 5.011 * [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 5.013 * [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 5.013 * [taylor]: Taking taylor expansion of 0 in phi2 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [taylor]: Taking taylor expansion of 0 in lambda1 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [taylor]: Taking taylor expansion of 0 in lambda2 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [taylor]: Taking taylor expansion of 0 in R 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [taylor]: Taking taylor expansion of 0 in lambda1 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [taylor]: Taking taylor expansion of 0 in lambda2 5.013 * [backup-simplify]: Simplify 0 into 0 5.013 * [taylor]: Taking taylor expansion of 0 in R 5.013 * [backup-simplify]: Simplify 0 into 0 5.015 * [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 5.017 * [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 5.017 * [taylor]: Taking taylor expansion of 0 in lambda1 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in lambda2 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in R 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in lambda2 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in R 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in lambda2 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [taylor]: Taking taylor expansion of 0 in R 5.017 * [backup-simplify]: Simplify 0 into 0 5.019 * [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 5.020 * [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 5.020 * [taylor]: Taking taylor expansion of 0 in lambda2 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [taylor]: Taking taylor expansion of 0 in R 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [taylor]: Taking taylor expansion of 0 in R 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [taylor]: Taking taylor expansion of 0 in R 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [taylor]: Taking taylor expansion of 0 in R 5.020 * [backup-simplify]: Simplify 0 into 0 5.021 * [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 5.022 * [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 5.022 * [taylor]: Taking taylor expansion of 0 in R 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 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.024 * [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 5.025 * [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 5.025 * [backup-simplify]: Simplify 0 into 0 5.026 * [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)))))) 5.026 * * * [progress]: simplifying candidates 5.028 * [simplify]: Simplifying: (log (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (exp (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (pow (sin lambda2) 3)) (cbrt (pow (sin lambda1) 3)) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (pow (sin lambda2) 3)) (cbrt (pow (sin lambda1) 3)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) (/ 3 2))) (cbrt (pow (* (sin lambda2) (sin lambda1)) (/ 3 2))) (cbrt (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (* (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (sqrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (sqrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (* (+ (log (sin lambda2)) (log (sin lambda1))) 3) (* (log (* (sin lambda2) (sin lambda1))) 3) (* (log (* (sin lambda2) (sin lambda1))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda2) (sin lambda1)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda2) (sin lambda1)) (sqrt 3)) (pow (* (sin lambda2) (sin lambda1)) 1) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (log (pow (* (sin lambda2) (sin lambda1)) 3)) (exp (pow (* (sin lambda2) (sin lambda1)) 3)) (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (* (* (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) (pow 2 3) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)))))) R) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (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) (* (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))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* (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)))))) 5.029 * * [simplify]: iteration 0: 136 enodes 5.069 * * [simplify]: iteration 1: 333 enodes 5.220 * * [simplify]: iteration 2: 1315 enodes 5.695 * * [simplify]: iteration complete: 5001 enodes 5.696 * * [simplify]: Extracting #0: cost 51 inf + 0 5.703 * * [simplify]: Extracting #1: cost 663 inf + 4 5.708 * * [simplify]: Extracting #2: cost 1708 inf + 287 5.714 * * [simplify]: Extracting #3: cost 1178 inf + 8260 5.721 * * [simplify]: Extracting #4: cost 599 inf + 15077 5.733 * * [simplify]: Extracting #5: cost 423 inf + 17346 5.745 * * [simplify]: Extracting #6: cost 240 inf + 18999 5.757 * * [simplify]: Extracting #7: cost 173 inf + 20015 5.769 * * [simplify]: Extracting #8: cost 52 inf + 25769 5.780 * * [simplify]: Extracting #9: cost 0 inf + 28061 5.786 * * [simplify]: Extracting #10: cost 0 inf + 27515 5.792 * [simplify]: Simplified to: (log (* (sin lambda2) (sin lambda1))) (exp (* (sin lambda2) (sin lambda1))) (sin lambda2) (sin lambda1) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (sin lambda2) (sin lambda1) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) 1 (* (sin lambda2) (sin lambda1)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3/2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3/2)) (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 2 (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (pow (* (sin lambda2) (sin lambda1)) 3) (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (/ PI 2) (asin (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (pow (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) 3) (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (log (pow (* (sin lambda2) (sin lambda1)) 3)) (log (pow (* (sin lambda2) (sin lambda1)) 3)) (log (pow (* (sin lambda2) (sin lambda1)) 3)) 3 3 (pow (* (sin lambda2) (sin lambda1)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda2) (sin lambda1)) (sqrt 3)) (* (sin lambda2) (sin lambda1)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (* (sin lambda2) (sin lambda1)) 2) (log (pow (* (sin lambda2) (sin lambda1)) 3)) (exp (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) 8 (pow (* (sin lambda2) (sin lambda1)) 2) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) 3/2) (pow (* (sin lambda2) (sin lambda1)) 3/2) (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (log (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (log (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (pow (exp (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) R) (pow (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) 3) (* (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))))) (cbrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (pow (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) 3) (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (sqrt (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (sqrt R) (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (sqrt R) (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* (* (cbrt R) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (cbrt R)) (* (sqrt R) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (* R (cbrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* R (sqrt (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))))) (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1)))) (+ (* (pow lambda1 3) (- (pow lambda2 3) (* (pow lambda2 5) 1/2))) (* -1/2 (* (pow lambda2 3) (pow lambda1 5)))) (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3) (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) (* R (acos (+ (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))) (* (sin phi2) (sin phi1))))) 5.793 * * * [progress]: adding candidates to table 6.546 * * [progress]: iteration 4 / 4 6.547 * * * [progress]: picking best candidate 6.771 * * * * [pick]: Picked # 6.771 * * * [progress]: localizing error 6.861 * * * [progress]: generating rewritten candidates 6.861 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 6.875 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2 1) 6.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.889 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 1 1) 6.913 * * * [progress]: generating series expansions 6.913 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 6.914 * [backup-simplify]: Simplify (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) into (* (sin lambda2) (sin lambda1)) 6.914 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda2 lambda1) around 0 6.914 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 6.914 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 6.914 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.914 * [backup-simplify]: Simplify lambda2 into lambda2 6.914 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 6.914 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 6.914 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.914 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 6.914 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.914 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.914 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.914 * [backup-simplify]: Simplify lambda1 into lambda1 6.914 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 6.914 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 6.914 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 6.914 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.914 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 1 into 1 6.914 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.914 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.914 * [backup-simplify]: Simplify lambda1 into lambda1 6.915 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 6.915 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 6.915 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 6.915 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 6.915 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 6.915 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 6.915 * [taylor]: Taking taylor expansion of 0 in lambda1 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify (+ 0) into 0 6.917 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 6.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.918 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.919 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 6.919 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.919 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.921 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 6.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.922 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0 6.924 * [taylor]: Taking taylor expansion of 0 in lambda1 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.925 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.927 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.930 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.930 * [backup-simplify]: Simplify (+ 0 0) into 0 6.932 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda1))))) into (- (* 1/6 (sin lambda1))) 6.933 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda1))) in lambda1 6.933 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda1)) in lambda1 6.933 * [taylor]: Taking taylor expansion of 1/6 in lambda1 6.933 * [backup-simplify]: Simplify 1/6 into 1/6 6.933 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.933 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 1 into 1 6.934 * [backup-simplify]: Simplify (* 1/6 0) into 0 6.934 * [backup-simplify]: Simplify (- 0) into 0 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.937 * [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 6.939 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.940 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.941 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 6.941 * [backup-simplify]: Simplify (+ 0 0) into 0 6.943 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda1)))))) into 0 6.945 * [taylor]: Taking taylor expansion of 0 in lambda1 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (* 1 (* lambda1 lambda2)) into (* lambda2 lambda1) 6.946 * [backup-simplify]: Simplify (cbrt (cbrt (pow (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) 3))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.946 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda2 lambda1) around 0 6.946 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 6.946 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.946 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.946 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.946 * [backup-simplify]: Simplify lambda2 into lambda2 6.946 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 6.946 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.946 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 6.946 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.946 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.946 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (/ 1 1) into 1 6.947 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 6.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.947 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.947 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [backup-simplify]: Simplify (/ 1 1) into 1 6.947 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.947 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.947 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.947 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.947 * [backup-simplify]: Simplify lambda1 into lambda1 6.947 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 6.948 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.948 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 6.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 6.948 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.948 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.948 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify 1 into 1 6.948 * [backup-simplify]: Simplify (/ 1 1) into 1 6.948 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.948 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.948 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.948 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.948 * [backup-simplify]: Simplify lambda1 into lambda1 6.948 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 6.949 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.949 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 6.949 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 6.949 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 6.949 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 6.949 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.949 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 6.949 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.949 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.949 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.949 * [backup-simplify]: Simplify lambda2 into lambda2 6.949 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 6.949 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 6.950 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 6.950 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.950 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.950 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [backup-simplify]: Simplify (/ 1 1) into 1 6.950 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 6.950 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 6.950 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 6.951 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 6.951 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.951 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 6.951 * [backup-simplify]: Simplify (+ 0) into 0 6.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 6.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 6.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 6.953 * [taylor]: Taking taylor expansion of 0 in lambda1 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify (+ 0) into 0 6.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 6.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.954 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 6.954 * [backup-simplify]: Simplify (+ 0 0) into 0 6.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 6.954 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 6.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 6.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 6.957 * [taylor]: Taking taylor expansion of 0 in lambda1 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 6.959 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.959 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 6.959 * [backup-simplify]: Simplify (+ 0 0) into 0 6.960 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.961 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 6.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.962 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.962 * [backup-simplify]: Simplify (+ 0 0) into 0 6.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 6.963 * [taylor]: Taking taylor expansion of 0 in lambda1 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 6.963 * [backup-simplify]: Simplify (cbrt (cbrt (pow (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3) 3))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.963 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda2 lambda1) around 0 6.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 6.963 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.964 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.964 * [taylor]: Taking taylor expansion of -1 in lambda1 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ -1 1) into -1 6.964 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.964 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 6.964 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 6.964 * [taylor]: Taking taylor expansion of -1 in lambda1 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.964 * [backup-simplify]: Simplify lambda2 into lambda2 6.964 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 6.964 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.964 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 6.964 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 6.964 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.964 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.964 * [taylor]: Taking taylor expansion of -1 in lambda2 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.964 * [backup-simplify]: Simplify lambda1 into lambda1 6.964 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 6.964 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.964 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 6.964 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 6.964 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 6.964 * [taylor]: Taking taylor expansion of -1 in lambda2 6.964 * [backup-simplify]: Simplify -1 into -1 6.965 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 1 into 1 6.965 * [backup-simplify]: Simplify (/ -1 1) into -1 6.965 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.965 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 6.965 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.965 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.965 * [taylor]: Taking taylor expansion of -1 in lambda2 6.965 * [backup-simplify]: Simplify -1 into -1 6.965 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.965 * [backup-simplify]: Simplify lambda1 into lambda1 6.965 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 6.965 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.965 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 6.965 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 6.965 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 6.965 * [taylor]: Taking taylor expansion of -1 in lambda2 6.965 * [backup-simplify]: Simplify -1 into -1 6.965 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.965 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify 1 into 1 6.965 * [backup-simplify]: Simplify (/ -1 1) into -1 6.966 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.966 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 6.966 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 6.966 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 6.966 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.966 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 6.966 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.966 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.966 * [taylor]: Taking taylor expansion of -1 in lambda1 6.966 * [backup-simplify]: Simplify -1 into -1 6.966 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.966 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify 1 into 1 6.966 * [backup-simplify]: Simplify (/ -1 1) into -1 6.966 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 6.966 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 6.966 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 6.966 * [taylor]: Taking taylor expansion of -1 in lambda1 6.966 * [backup-simplify]: Simplify -1 into -1 6.966 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.966 * [backup-simplify]: Simplify lambda2 into lambda2 6.966 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 6.967 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 6.967 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 6.967 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 6.967 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 6.967 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 6.967 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.967 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 6.967 * [backup-simplify]: Simplify (+ 0) into 0 6.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 6.968 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 6.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 6.969 * [backup-simplify]: Simplify (+ 0 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 6.969 * [taylor]: Taking taylor expansion of 0 in lambda1 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (+ 0) into 0 6.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 6.969 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.970 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 6.970 * [backup-simplify]: Simplify (+ 0 0) into 0 6.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 6.972 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 6.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 6.973 * [backup-simplify]: Simplify (+ 0 0) into 0 6.973 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 6.973 * [taylor]: Taking taylor expansion of 0 in lambda1 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 6.974 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 6.975 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 6.976 * [backup-simplify]: Simplify (+ 0 0) into 0 6.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 6.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 6.979 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 6.979 * [backup-simplify]: Simplify (+ 0 0) into 0 6.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 6.979 * [taylor]: Taking taylor expansion of 0 in lambda1 6.979 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 6.980 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2 1) 6.980 * [backup-simplify]: Simplify (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) into (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) 6.980 * [approximate]: Taking taylor expansion of (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) in (lambda2 lambda1) around 0 6.980 * [taylor]: Taking taylor expansion of (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) in lambda1 6.980 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda1 6.980 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 6.980 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.980 * [backup-simplify]: Simplify lambda2 into lambda2 6.980 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 6.980 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 6.980 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 6.980 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 6.981 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 6.981 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 6.981 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.981 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 1 into 1 6.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.981 * [taylor]: Taking taylor expansion of (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) in lambda2 6.981 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 6.981 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.981 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 1 into 1 6.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.982 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda2 6.982 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.982 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.982 * [backup-simplify]: Simplify lambda1 into lambda1 6.982 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 6.982 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 6.982 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 6.982 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 6.982 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 6.982 * [taylor]: Taking taylor expansion of (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) in lambda2 6.982 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 6.982 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 6.982 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.982 * [backup-simplify]: Simplify 0 into 0 6.982 * [backup-simplify]: Simplify 1 into 1 6.982 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.982 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda2 6.982 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.982 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.983 * [backup-simplify]: Simplify lambda1 into lambda1 6.983 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 6.983 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 6.983 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 6.983 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 6.983 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 6.983 * [backup-simplify]: Simplify (* 1 1) into 1 6.983 * [backup-simplify]: Simplify (* 1 1) into 1 6.983 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda1)) into (pow (sin lambda1) 2) 6.983 * [backup-simplify]: Simplify (* (sin lambda1) (pow (sin lambda1) 2)) into (pow (sin lambda1) 3) 6.984 * [backup-simplify]: Simplify (* 1 (pow (sin lambda1) 3)) into (pow (sin lambda1) 3) 6.984 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 6.984 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.984 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 1 into 1 6.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 6.985 * [backup-simplify]: Simplify (* 1 1) into 1 6.985 * [backup-simplify]: Simplify (* 1 1) into 1 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [backup-simplify]: Simplify (+ 0) into 0 6.985 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 6.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 6.986 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 6.986 * [backup-simplify]: Simplify (+ 0 0) into 0 6.986 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda1))) into 0 6.987 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (pow (sin lambda1) 2))) into 0 6.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin lambda1) 3))) into 0 6.988 * [taylor]: Taking taylor expansion of 0 in lambda1 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.990 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 6.991 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 6.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.993 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 6.993 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (sin lambda1)))) into 0 6.994 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 (pow (sin lambda1) 2)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 6.997 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 6.998 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 6.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow (sin lambda1) 3)))) into (- (* 1/2 (pow (sin lambda1) 3))) 6.999 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda1) 3))) in lambda1 6.999 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda1) 3)) in lambda1 6.999 * [taylor]: Taking taylor expansion of 1/2 in lambda1 6.999 * [backup-simplify]: Simplify 1/2 into 1/2 6.999 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 6.999 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.999 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.002 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.002 * [backup-simplify]: Simplify -1/2 into -1/2 7.002 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.004 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 7.005 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 7.006 * [backup-simplify]: Simplify -1/2 into -1/2 7.007 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow lambda1 5) (pow lambda2 3))) (+ (* -1/2 (* (pow lambda1 3) (pow lambda2 5))) (* 1 (pow (* lambda1 lambda2) 3)))) into (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) 7.007 * [backup-simplify]: Simplify (cbrt (pow (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.007 * [approximate]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in (lambda2 lambda1) around 0 7.007 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in lambda1 7.007 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda1 7.007 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 7.007 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 7.007 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.007 * [backup-simplify]: Simplify lambda2 into lambda2 7.008 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 7.008 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.008 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 7.008 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 7.008 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 7.008 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 7.008 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda1 7.008 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 7.008 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 7.008 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (/ 1 1) into 1 7.009 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.009 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in lambda2 7.009 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 7.009 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 7.009 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 7.009 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (/ 1 1) into 1 7.010 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.010 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 7.010 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 7.010 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 7.010 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.010 * [backup-simplify]: Simplify lambda1 into lambda1 7.010 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 7.010 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.010 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 7.010 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 7.010 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 7.010 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 7.010 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in lambda2 7.010 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 7.010 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 7.011 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 7.011 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.011 * [backup-simplify]: Simplify (/ 1 1) into 1 7.011 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.011 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 7.011 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 7.011 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 7.011 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.012 * [backup-simplify]: Simplify lambda1 into lambda1 7.012 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 7.012 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.012 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 7.012 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 7.012 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 7.012 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 7.012 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 7.013 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (pow (sin (/ 1 lambda2)) 2)) into (pow (sin (/ 1 lambda2)) 3) 7.013 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 7.013 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (pow (sin (/ 1 lambda1)) 2)) into (pow (sin (/ 1 lambda1)) 3) 7.014 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.014 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in lambda1 7.014 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda1 7.014 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 7.014 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 7.014 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.014 * [backup-simplify]: Simplify lambda2 into lambda2 7.014 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 7.014 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.014 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 7.014 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 7.014 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 7.014 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 7.014 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda1 7.014 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 7.015 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 7.015 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.015 * [backup-simplify]: Simplify (/ 1 1) into 1 7.015 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.015 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 7.016 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (pow (sin (/ 1 lambda2)) 2)) into (pow (sin (/ 1 lambda2)) 3) 7.016 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 7.016 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (pow (sin (/ 1 lambda1)) 2)) into (pow (sin (/ 1 lambda1)) 3) 7.016 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.017 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.017 * [backup-simplify]: Simplify (+ 0) into 0 7.018 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 7.018 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.019 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 7.020 * [backup-simplify]: Simplify (+ 0 0) into 0 7.020 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 7.020 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 7.020 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (pow (sin (/ 1 lambda2)) 2))) into 0 7.021 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (* 0 (pow (sin (/ 1 lambda1)) 3))) into 0 7.021 * [taylor]: Taking taylor expansion of 0 in lambda1 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 7.022 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 7.022 * [backup-simplify]: Simplify (+ 0) into 0 7.023 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 7.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 7.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 7.024 * [backup-simplify]: Simplify (+ 0 0) into 0 7.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 7.025 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (pow (sin (/ 1 lambda2)) 2))) into 0 7.025 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (* 0 (pow (sin (/ 1 lambda1)) 3))) into 0 7.025 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.027 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.028 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.029 * [backup-simplify]: Simplify (+ 0 0) into 0 7.029 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 7.030 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 7.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 7.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 2)))) into 0 7.032 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 3)))) into 0 7.032 * [taylor]: Taking taylor expansion of 0 in lambda1 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 7.033 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 7.034 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.035 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.037 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.037 * [backup-simplify]: Simplify (+ 0 0) into 0 7.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 7.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 2)))) into 0 7.039 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 3)))) into 0 7.039 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.041 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.042 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.043 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.044 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 7.046 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2))))) into 0 7.047 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 7.053 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 2))))) into 0 7.054 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 3))))) into 0 7.054 * [taylor]: Taking taylor expansion of 0 in lambda1 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda2))) 3) (pow (sin (/ 1 (/ 1 lambda1))) 3)) into (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) 7.055 * [backup-simplify]: Simplify (cbrt (pow (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.055 * [approximate]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in (lambda2 lambda1) around 0 7.055 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda1 7.055 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda1 7.055 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 7.055 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 7.055 * [taylor]: Taking taylor expansion of -1 in lambda1 7.055 * [backup-simplify]: Simplify -1 into -1 7.055 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.056 * [backup-simplify]: Simplify (/ -1 1) into -1 7.056 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.056 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda1 7.056 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 7.056 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 7.056 * [taylor]: Taking taylor expansion of -1 in lambda1 7.056 * [backup-simplify]: Simplify -1 into -1 7.056 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.056 * [backup-simplify]: Simplify lambda2 into lambda2 7.056 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 7.056 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.056 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 7.057 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 7.057 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 7.057 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 7.057 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 7.057 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 7.057 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 7.057 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 7.057 * [taylor]: Taking taylor expansion of -1 in lambda2 7.057 * [backup-simplify]: Simplify -1 into -1 7.057 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.057 * [backup-simplify]: Simplify lambda1 into lambda1 7.057 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 7.057 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.057 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 7.057 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 7.057 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 7.058 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 7.058 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 7.058 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 7.058 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 7.058 * [taylor]: Taking taylor expansion of -1 in lambda2 7.058 * [backup-simplify]: Simplify -1 into -1 7.058 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (/ -1 1) into -1 7.058 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.058 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 7.058 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 7.059 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 7.059 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 7.059 * [taylor]: Taking taylor expansion of -1 in lambda2 7.059 * [backup-simplify]: Simplify -1 into -1 7.059 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.059 * [backup-simplify]: Simplify lambda1 into lambda1 7.059 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 7.059 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.059 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 7.059 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 7.059 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 7.059 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 7.059 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 7.059 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 7.059 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 7.059 * [taylor]: Taking taylor expansion of -1 in lambda2 7.059 * [backup-simplify]: Simplify -1 into -1 7.059 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.059 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (/ -1 1) into -1 7.060 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.060 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 7.061 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (pow (sin (/ -1 lambda1)) 2)) into (pow (sin (/ -1 lambda1)) 3) 7.061 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 7.061 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (pow (sin (/ -1 lambda2)) 2)) into (pow (sin (/ -1 lambda2)) 3) 7.062 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.062 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda1 7.062 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda1 7.062 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 7.062 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 7.062 * [taylor]: Taking taylor expansion of -1 in lambda1 7.062 * [backup-simplify]: Simplify -1 into -1 7.062 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (/ -1 1) into -1 7.063 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.063 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda1 7.063 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 7.063 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 7.063 * [taylor]: Taking taylor expansion of -1 in lambda1 7.063 * [backup-simplify]: Simplify -1 into -1 7.063 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.063 * [backup-simplify]: Simplify lambda2 into lambda2 7.063 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 7.063 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.063 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 7.063 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 7.063 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 7.063 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 7.064 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 7.064 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (pow (sin (/ -1 lambda1)) 2)) into (pow (sin (/ -1 lambda1)) 3) 7.064 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 7.064 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (pow (sin (/ -1 lambda2)) 2)) into (pow (sin (/ -1 lambda2)) 3) 7.065 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.065 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.065 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 7.065 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 7.066 * [backup-simplify]: Simplify (+ 0) into 0 7.067 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 7.067 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 7.068 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 7.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (pow (sin (/ -1 lambda1)) 2))) into 0 7.069 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (* 0 (pow (sin (/ -1 lambda2)) 3))) into 0 7.069 * [taylor]: Taking taylor expansion of 0 in lambda1 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify (+ 0) into 0 7.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 7.071 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.072 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 7.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (pow (sin (/ -1 lambda1)) 2))) into 0 7.074 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (* 0 (pow (sin (/ -1 lambda2)) 3))) into 0 7.074 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 7.075 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 7.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.077 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.077 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.078 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.078 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.079 * [backup-simplify]: Simplify (+ 0 0) into 0 7.079 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 7.080 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda1)) 2)))) into 0 7.081 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 3)))) into 0 7.081 * [taylor]: Taking taylor expansion of 0 in lambda1 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.083 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.083 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.084 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.085 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.085 * [backup-simplify]: Simplify (+ 0 0) into 0 7.086 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 7.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 7.087 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 7.088 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda1)) 2)))) into 0 7.089 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 3)))) into 0 7.089 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 7.091 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2))))) into 0 7.092 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.093 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.095 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.095 * [backup-simplify]: Simplify (+ 0 0) into 0 7.096 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1)))))) into 0 7.097 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda1)) 2))))) into 0 7.099 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 3))))) into 0 7.099 * [taylor]: Taking taylor expansion of 0 in lambda1 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 3) (pow (sin (/ -1 (/ 1 (- lambda2)))) 3)) into (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 7.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.100 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.100 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 7.100 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 7.101 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.101 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 7.102 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.102 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 7.103 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 7.103 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.103 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 7.104 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.104 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 7.105 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.105 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 7.106 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.106 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 7.107 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.107 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.108 * [taylor]: Taking taylor expansion of 0 in phi2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda1 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda1 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in phi2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda1 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda1 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [taylor]: Taking taylor expansion of 0 in lambda2 7.108 * [backup-simplify]: Simplify 0 into 0 7.108 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 7.110 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (cbrt (pow (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) 3))))))) 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)))))))) 7.110 * [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 7.110 * [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 7.112 * [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)))))))) 7.112 * [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 7.113 * [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)))))))) 7.113 * [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 7.114 * [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)))))))) 7.114 * [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 7.115 * [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)))))))) 7.115 * [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 7.116 * [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)))))))) 7.116 * [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 7.117 * [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)))))))) 7.117 * [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 7.118 * [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)))))))) 7.118 * [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 7.119 * [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)))))))) 7.120 * [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)))))))) 7.120 * [taylor]: Taking taylor expansion of 0 in phi2 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [taylor]: Taking taylor expansion of 0 in lambda1 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in lambda2 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in lambda1 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in lambda2 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in lambda2 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in phi2 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in lambda1 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [taylor]: Taking taylor expansion of 0 in lambda2 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.122 * [taylor]: Taking taylor expansion of 0 in lambda1 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [taylor]: Taking taylor expansion of 0 in lambda2 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 0 into 0 7.123 * [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))))) 7.124 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (cbrt (pow (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3) 3))))))) 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)))))))) 7.124 * [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 7.124 * [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 7.125 * [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)))))))) 7.125 * [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 7.126 * [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)))))))) 7.127 * [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 7.128 * [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)))))))) 7.128 * [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 7.129 * [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)))))))) 7.129 * [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 7.130 * [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)))))))) 7.130 * [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 7.131 * [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)))))))) 7.131 * [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 7.132 * [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)))))))) 7.132 * [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 7.133 * [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)))))))) 7.135 * [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)))))))) 7.135 * [taylor]: Taking taylor expansion of 0 in phi2 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda1 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda2 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda1 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda2 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda2 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in phi2 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda1 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [taylor]: Taking taylor expansion of 0 in lambda2 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [taylor]: Taking taylor expansion of 0 in lambda1 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [taylor]: Taking taylor expansion of 0 in lambda2 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 0 into 0 7.137 * [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))))) 7.137 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 1 1) 7.138 * [backup-simplify]: Simplify (pow (* (sin lambda2) (sin lambda1)) 3) into (pow (* (sin lambda2) (sin lambda1)) 3) 7.138 * [approximate]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in (lambda2 lambda1) around 0 7.138 * [taylor]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in lambda1 7.138 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 7.138 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 7.138 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.138 * [backup-simplify]: Simplify lambda2 into lambda2 7.138 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 7.138 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 7.138 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 7.138 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 7.138 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 7.138 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 7.138 * [backup-simplify]: Simplify (* (sin lambda2) 0) into 0 7.139 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.140 * [backup-simplify]: Simplify (+ 0) into 0 7.140 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 7.141 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.142 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 7.142 * [backup-simplify]: Simplify (+ 0 0) into 0 7.143 * [backup-simplify]: Simplify (+ (* (sin lambda2) 1) (* 0 0)) into (sin lambda2) 7.143 * [taylor]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in lambda2 7.143 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 7.143 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 7.143 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.143 * [backup-simplify]: Simplify 0 into 0 7.143 * [backup-simplify]: Simplify 1 into 1 7.143 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 7.143 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.143 * [backup-simplify]: Simplify lambda1 into lambda1 7.143 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 7.143 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 7.143 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 7.143 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 7.143 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 7.143 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 7.144 * [backup-simplify]: Simplify (+ 0) into 0 7.144 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.146 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 7.146 * [backup-simplify]: Simplify (+ 0 0) into 0 7.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 7.147 * [taylor]: Taking taylor expansion of (pow (* (sin lambda2) (sin lambda1)) 3) in lambda2 7.148 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 7.148 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 7.148 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.148 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 7.148 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.148 * [backup-simplify]: Simplify lambda1 into lambda1 7.148 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 7.148 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 7.148 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 7.148 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 7.148 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 7.148 * [backup-simplify]: Simplify (* 0 (sin lambda1)) into 0 7.149 * [backup-simplify]: Simplify (+ 0) into 0 7.149 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 1)) into 0 7.150 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.150 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (* 0 0)) into 0 7.151 * [backup-simplify]: Simplify (+ 0 0) into 0 7.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda1))) into (sin lambda1) 7.152 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda1)) into (pow (sin lambda1) 2) 7.152 * [backup-simplify]: Simplify (* (sin lambda1) (pow (sin lambda1) 2)) into (pow (sin lambda1) 3) 7.152 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 7.152 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 7.152 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.152 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.152 * [backup-simplify]: Simplify (* 1 1) into 1 7.153 * [backup-simplify]: Simplify (* 1 1) into 1 7.153 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.154 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (* 0 1))) into 0 7.154 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.154 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (* 0 0))) into 0 7.155 * [backup-simplify]: Simplify (+ 0 0) into 0 7.155 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda1)))) into 0 7.156 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (sin lambda1))) into 0 7.156 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (* 0 (pow (sin lambda1) 2))) into 0 7.156 * [taylor]: Taking taylor expansion of 0 in lambda1 7.156 * [backup-simplify]: Simplify 0 into 0 7.156 * [backup-simplify]: Simplify 0 into 0 7.157 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.157 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.158 * [backup-simplify]: Simplify (+ (* (sin lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.160 * [backup-simplify]: Simplify (+ (* (cos lambda1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.160 * [backup-simplify]: Simplify (+ 0 0) into 0 7.161 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda1))))) into (- (* 1/6 (sin lambda1))) 7.162 * [backup-simplify]: Simplify (+ (* (sin lambda1) (- (* 1/6 (sin lambda1)))) (+ (* 0 0) (* (- (* 1/6 (sin lambda1))) (sin lambda1)))) into (- (* 1/3 (pow (sin lambda1) 2))) 7.163 * [backup-simplify]: Simplify (+ (* (sin lambda1) (- (* 1/3 (pow (sin lambda1) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin lambda1))) (pow (sin lambda1) 2)))) into (- (* 1/2 (pow (sin lambda1) 3))) 7.163 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda1) 3))) in lambda1 7.163 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda1) 3)) in lambda1 7.163 * [taylor]: Taking taylor expansion of 1/2 in lambda1 7.163 * [backup-simplify]: Simplify 1/2 into 1/2 7.163 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 3) in lambda1 7.163 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 7.163 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.163 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify 1 into 1 7.163 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 7.164 * [backup-simplify]: Simplify (* 1 1) into 1 7.164 * [backup-simplify]: Simplify (* 1 1) into 1 7.164 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.164 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.165 * [backup-simplify]: Simplify -1/2 into -1/2 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 7.166 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 7.167 * [backup-simplify]: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* -1/6 1))) into -1/2 7.167 * [backup-simplify]: Simplify -1/2 into -1/2 7.167 * [backup-simplify]: Simplify (+ (* -1/2 (* (pow lambda1 5) (pow lambda2 3))) (+ (* -1/2 (* (pow lambda1 3) (pow lambda2 5))) (* 1 (pow (* lambda1 lambda2) 3)))) into (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) 7.168 * [backup-simplify]: Simplify (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) into (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) 7.168 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in (lambda2 lambda1) around 0 7.168 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda1 7.168 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 7.168 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 7.168 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 7.168 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.168 * [backup-simplify]: Simplify lambda2 into lambda2 7.168 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 7.168 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.168 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 7.168 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 7.168 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 7.168 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ 1 1) into 1 7.168 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.168 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 7.168 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 7.168 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 7.169 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.169 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda2 7.169 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 7.169 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 7.169 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 7.169 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify 1 into 1 7.169 * [backup-simplify]: Simplify (/ 1 1) into 1 7.169 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.169 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 7.169 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 7.169 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.169 * [backup-simplify]: Simplify lambda1 into lambda1 7.169 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 7.169 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.169 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 7.169 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 7.169 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 7.169 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 7.169 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.169 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 3) in lambda2 7.169 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 7.169 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 7.169 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 7.170 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.170 * [backup-simplify]: Simplify 0 into 0 7.170 * [backup-simplify]: Simplify 1 into 1 7.170 * [backup-simplify]: Simplify (/ 1 1) into 1 7.170 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.170 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 7.170 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 7.170 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.170 * [backup-simplify]: Simplify lambda1 into lambda1 7.170 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 7.170 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.170 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 7.170 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 7.170 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 7.170 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 7.170 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 7.171 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 7.171 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.171 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) in lambda1 7.171 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda1 7.171 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 7.171 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 7.171 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.171 * [backup-simplify]: Simplify lambda2 into lambda2 7.171 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 7.171 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 7.171 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 7.171 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 7.171 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 7.171 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 7.171 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda1 7.171 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 7.171 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 7.171 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.171 * [backup-simplify]: Simplify 0 into 0 7.171 * [backup-simplify]: Simplify 1 into 1 7.172 * [backup-simplify]: Simplify (/ 1 1) into 1 7.172 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 7.172 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 7.172 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (pow (sin (/ 1 lambda2)) 2)) into (pow (sin (/ 1 lambda2)) 3) 7.172 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 7.172 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (pow (sin (/ 1 lambda1)) 2)) into (pow (sin (/ 1 lambda1)) 3) 7.172 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.173 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) into (* (pow (sin (/ 1 lambda2)) 3) (pow (sin (/ 1 lambda1)) 3)) 7.173 * [backup-simplify]: Simplify (+ 0) into 0 7.173 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 7.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 7.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 7.174 * [backup-simplify]: Simplify (+ 0 0) into 0 7.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 7.175 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))) into 0 7.175 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (* 0 (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)))) into 0 7.175 * [taylor]: Taking taylor expansion of 0 in lambda1 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 7.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 7.176 * [backup-simplify]: Simplify (+ 0) into 0 7.176 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 7.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.177 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 7.177 * [backup-simplify]: Simplify (+ 0 0) into 0 7.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 7.177 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (pow (sin (/ 1 lambda2)) 2))) into 0 7.178 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (* 0 (pow (sin (/ 1 lambda1)) 3))) into 0 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.179 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.179 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.180 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.180 * [backup-simplify]: Simplify (+ 0 0) into 0 7.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 7.181 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1)))))) into 0 7.181 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2))))) into 0 7.181 * [taylor]: Taking taylor expansion of 0 in lambda1 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 7.182 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 7.183 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.184 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 7.187 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda2)) 2)))) into 0 7.188 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 3)))) into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.192 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.193 * [backup-simplify]: Simplify (+ 0 0) into 0 7.194 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 7.195 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))))))) into 0 7.196 * [backup-simplify]: Simplify (+ (* (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)))))) into 0 7.196 * [taylor]: Taking taylor expansion of 0 in lambda1 7.196 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda2))) 3) (pow (sin (/ 1 (/ 1 lambda1))) 3)) into (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) 7.197 * [backup-simplify]: Simplify (pow (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) 3) into (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) 7.197 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda2 lambda1) around 0 7.197 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 7.197 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 7.197 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 7.197 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 7.197 * [taylor]: Taking taylor expansion of -1 in lambda1 7.197 * [backup-simplify]: Simplify -1 into -1 7.197 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ -1 1) into -1 7.198 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.198 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 7.198 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 7.198 * [taylor]: Taking taylor expansion of -1 in lambda1 7.198 * [backup-simplify]: Simplify -1 into -1 7.198 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.198 * [backup-simplify]: Simplify lambda2 into lambda2 7.199 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 7.199 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.199 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 7.199 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 7.199 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 7.199 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 7.199 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.199 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 7.199 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 7.199 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 7.199 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 7.199 * [taylor]: Taking taylor expansion of -1 in lambda2 7.199 * [backup-simplify]: Simplify -1 into -1 7.199 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.200 * [backup-simplify]: Simplify lambda1 into lambda1 7.200 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 7.200 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.200 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 7.200 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 7.200 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 7.200 * [taylor]: Taking taylor expansion of -1 in lambda2 7.200 * [backup-simplify]: Simplify -1 into -1 7.200 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (/ -1 1) into -1 7.201 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.201 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 7.201 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 7.201 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 7.201 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.201 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 7.201 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 7.201 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 7.201 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 7.201 * [taylor]: Taking taylor expansion of -1 in lambda2 7.201 * [backup-simplify]: Simplify -1 into -1 7.201 * [taylor]: Taking taylor expansion of lambda1 in lambda2 7.201 * [backup-simplify]: Simplify lambda1 into lambda1 7.201 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 7.201 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.201 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 7.201 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 7.201 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 7.202 * [taylor]: Taking taylor expansion of -1 in lambda2 7.202 * [backup-simplify]: Simplify -1 into -1 7.202 * [taylor]: Taking taylor expansion of lambda2 in lambda2 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.206 * [backup-simplify]: Simplify (/ -1 1) into -1 7.207 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.207 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 7.207 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 7.207 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 7.207 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 7.208 * [backup-simplify]: Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 7.208 * [backup-simplify]: Simplify (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.208 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda1 7.208 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda1 7.208 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 7.208 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 7.208 * [taylor]: Taking taylor expansion of -1 in lambda1 7.208 * [backup-simplify]: Simplify -1 into -1 7.208 * [taylor]: Taking taylor expansion of lambda1 in lambda1 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 1 into 1 7.209 * [backup-simplify]: Simplify (/ -1 1) into -1 7.209 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 7.209 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda1 7.209 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 7.209 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 7.209 * [taylor]: Taking taylor expansion of -1 in lambda1 7.209 * [backup-simplify]: Simplify -1 into -1 7.209 * [taylor]: Taking taylor expansion of lambda2 in lambda1 7.209 * [backup-simplify]: Simplify lambda2 into lambda2 7.209 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 7.210 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 7.210 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 7.210 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 7.210 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 7.210 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 7.210 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 7.210 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (pow (sin (/ -1 lambda1)) 2)) into (pow (sin (/ -1 lambda1)) 3) 7.211 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 7.211 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (pow (sin (/ -1 lambda2)) 2)) into (pow (sin (/ -1 lambda2)) 3) 7.211 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.211 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) into (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) 7.212 * [backup-simplify]: Simplify (+ 0) into 0 7.213 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 7.213 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.214 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 7.215 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 7.215 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) into 0 7.216 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)))) into 0 7.216 * [taylor]: Taking taylor expansion of 0 in lambda1 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify (+ 0) into 0 7.217 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 7.217 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 7.218 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 7.219 * [backup-simplify]: Simplify (+ 0 0) into 0 7.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 7.219 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 7.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 7.220 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (pow (sin (/ -1 lambda1)) 2))) into 0 7.220 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (* 0 (pow (sin (/ -1 lambda2)) 3))) into 0 7.220 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.222 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 7.222 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.223 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.224 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 7.224 * [backup-simplify]: Simplify (+ 0 0) into 0 7.225 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 7.226 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) into 0 7.227 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2))))) into 0 7.227 * [taylor]: Taking taylor expansion of 0 in lambda1 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 7.228 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 7.229 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 7.230 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 7.231 * [backup-simplify]: Simplify (+ 0 0) into 0 7.231 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 7.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 7.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 7.233 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda1)) 2)))) into 0 7.234 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 3)))) into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.236 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 7.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 7.239 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.240 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 7.241 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))))) into 0 7.243 * [backup-simplify]: Simplify (+ (* (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)))))) into 0 7.243 * [taylor]: Taking taylor expansion of 0 in lambda1 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 3) (pow (sin (/ -1 (/ 1 (- lambda2)))) 3)) into (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 7.243 * * * [progress]: simplifying candidates 7.247 * [simplify]: Simplifying: (log (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (exp (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (pow (pow (sin lambda2) 3) 3))) (cbrt (cbrt (pow (pow (sin lambda1) 3) 3))) (cbrt (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (pow (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) 3))) (cbrt (cbrt (pow (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3))) (cbrt (cbrt (pow (pow (sin lambda2) 3) 3))) (cbrt (cbrt (pow (pow (sin lambda1) 3) 3))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3))) (cbrt (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3))) (cbrt (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3))) (cbrt (cbrt (pow 1 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3))) (cbrt (cbrt (* (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (* (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))) (cbrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (pow (pow (sin lambda2) 3) 3))) (cbrt (cbrt (pow (pow (sin lambda1) 3) 3))) (cbrt (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (pow (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) 3))) (cbrt (cbrt (pow (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3))) (cbrt (cbrt (pow (pow (sin lambda2) 3) 3))) (cbrt (cbrt (pow (pow (sin lambda1) 3) 3))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3))) (cbrt (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3))) (cbrt (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3))) (cbrt (cbrt (pow 1 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3))) (cbrt (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (cbrt (* (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)))) (cbrt (cbrt (sqrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (sqrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt 1)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) (/ 3 2)))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) (/ 3 2)))) (cbrt (* (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))) (cbrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (sqrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (sqrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt 1) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) 3))) (cbrt (cbrt (pow (pow 2 3) 3))) (* (cbrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))) (cbrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (* (* (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (sqrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (sqrt (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (log (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (exp (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (pow (pow (sin lambda2) 3) 3)) (cbrt (pow (pow (sin lambda1) 3) 3)) (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) 3)) (cbrt (pow (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3)) (cbrt (pow (pow (sin lambda2) 3) 3)) (cbrt (pow (pow (sin lambda1) 3) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3)) (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3)) (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3)) (cbrt (* (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (* (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (pow (pow (sin lambda2) 3) 3)) (cbrt (pow (pow (sin lambda1) 3) 3)) (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) 3)) (cbrt (pow (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3)) (cbrt (pow (pow (sin lambda2) 3) 3)) (cbrt (pow (pow (sin lambda1) 3) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) 3)) (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3)) (cbrt (pow (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (* (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (sqrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (sqrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt 1) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) (/ 3 2))) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) (/ 3 2))) (cbrt (pow (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) 3)) (cbrt (pow (pow 2 3) 3)) (* (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (* (* (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (sqrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (sqrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3)))))))) (* (+ (log (sin lambda2)) (log (sin lambda1))) 3) (* (log (* (sin lambda2) (sin lambda1))) 3) (* (log (* (sin lambda2) (sin lambda1))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda2) (sin lambda1)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda2) (sin lambda1)) (sqrt 3)) (pow (* (sin lambda2) (sin lambda1)) 1) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (log (pow (* (sin lambda2) (sin lambda1)) 3)) (exp (pow (* (sin lambda2) (sin lambda1)) 3)) (* (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3)) (* (* (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) (pow 2 3) (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) (pow (* (sin lambda2) (sin lambda1)) (/ 3 2)) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (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) (* (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))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda2) 3) (pow (sin lambda1) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 7.251 * * [simplify]: iteration 0: 155 enodes 7.331 * * [simplify]: iteration 1: 421 enodes 7.634 * * [simplify]: iteration 2: 1802 enodes 8.646 * * [simplify]: iteration complete: 5001 enodes 8.646 * * [simplify]: Extracting #0: cost 43 inf + 0 8.647 * * [simplify]: Extracting #1: cost 512 inf + 5 8.651 * * [simplify]: Extracting #2: cost 1892 inf + 744 8.657 * * [simplify]: Extracting #3: cost 696 inf + 19853 8.671 * * [simplify]: Extracting #4: cost 194 inf + 26116 8.683 * * [simplify]: Extracting #5: cost 98 inf + 27190 8.694 * * [simplify]: Extracting #6: cost 37 inf + 27818 8.706 * * [simplify]: Extracting #7: cost 8 inf + 28153 8.718 * * [simplify]: Extracting #8: cost 0 inf + 28403 8.727 * [simplify]: Simplified to: (log (* (sin lambda2) (sin lambda1))) (exp (* (sin lambda2) (sin lambda1))) (sin lambda2) (sin lambda1) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (sin lambda2) (sin lambda1) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) 1 (* (sin lambda2) (sin lambda1)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3/2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3/2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (sin lambda2) (sin lambda1) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (sin lambda2) (sin lambda1) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) 1 (* (sin lambda2) (sin lambda1)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3/2)) (cbrt (pow (* (sin lambda2) (sin lambda1)) 3/2)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (cbrt (fabs (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2)))) (cbrt (cbrt (fabs (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2)))) 1 (* (sin lambda2) (sin lambda1)) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2))) (cbrt (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2))) (cbrt (pow (* (sin lambda2) (sin lambda1)) 2)) (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) (cbrt (sqrt (pow (* (sin lambda2) (sin lambda1)) 3))) 1 (* (sin lambda2) (sin lambda1)) (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) (cbrt 8) (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (pow (* (sin lambda2) (sin lambda1)) 3) (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (* (log (* (sin lambda2) (sin lambda1))) 3) (exp (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (* (sin lambda2) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 2) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 1 (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3/2) (pow (* (sin lambda2) (sin lambda1)) 3/2) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (* (sin lambda2) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 2) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) 1 (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3/2) (pow (* (sin lambda2) (sin lambda1)) 3/2) (* (sin lambda2) (sin lambda1)) (pow (* (sin lambda2) (sin lambda1)) 2) (cbrt (fabs (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2))) (cbrt (fabs (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2))) 1 (pow (* (sin lambda2) (sin lambda1)) 3) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2)) (cbrt (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3/2)) (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) 8 (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (/ PI 2) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (pow (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) 3) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1))))) (* (log (* (sin lambda2) (sin lambda1))) 3) (* (log (* (sin lambda2) (sin lambda1))) 3) (* (log (* (sin lambda2) (sin lambda1))) 3) 3 3 (pow (* (sin lambda2) (sin lambda1)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda2) (sin lambda1)) (sqrt 3)) (* (sin lambda2) (sin lambda1)) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (* (sin lambda2) (sin lambda1)) 2) (* (log (* (sin lambda2) (sin lambda1))) 3) (exp (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) 2) (* (sin lambda2) (sin lambda1)) (pow (pow (* (sin lambda2) (sin lambda1)) 3) 3) (pow (sin lambda2) 3) (pow (sin lambda1) 3) (pow (- (cos (- lambda2 lambda1)) (cos (+ lambda2 lambda1))) 3) 8 (pow (* (sin lambda2) (sin lambda1)) 2) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (sqrt (pow (* (sin lambda2) (sin lambda1)) 3)) (pow (* (sin lambda2) (sin lambda1)) 3/2) (pow (* (sin lambda2) (sin lambda1)) 3/2) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) (- (* (pow lambda1 3) (- (pow lambda2 3) (* (pow lambda2 5) 1/2))) (* (* 1/2 (pow lambda1 5)) (pow lambda2 3))) (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi2) (sin phi1)))) (- (* (pow lambda1 3) (- (pow lambda2 3) (* (pow lambda2 5) 1/2))) (* (* 1/2 (pow lambda1 5)) (pow lambda2 3))) (pow (* (sin lambda2) (sin lambda1)) 3) (pow (* (sin lambda2) (sin lambda1)) 3) 8.728 * * * [progress]: adding candidates to table 9.586 * [progress]: [Phase 3 of 3] Extracting. 9.586 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 9.615 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 9.615 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # #) 9.906 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # #) 10.219 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # #) 10.508 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # #) 10.814 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # #) 11.020 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # #) 11.225 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # #) 11.511 * * * [regime]: Found split indices: #