0.547 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.532 * * * [progress]: [2/2] Setting up program. 0.542 * [progress]: [Phase 2 of 3] Improving. 0.544 * [simplify]: Simplifying: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.545 * * [simplify]: iteration 0: 17 enodes 0.551 * * [simplify]: iteration 1: 26 enodes 0.556 * * [simplify]: iteration 2: 33 enodes 0.560 * * [simplify]: iteration 3: 34 enodes 0.564 * * [simplify]: iteration complete: 34 enodes 0.597 * * [simplify]: Extracting #0: cost 1 inf + 0 0.597 * * [simplify]: Extracting #1: cost 3 inf + 0 0.598 * * [simplify]: Extracting #2: cost 3 inf + 1 0.598 * * [simplify]: Extracting #3: cost 5 inf + 1 0.598 * * [simplify]: Extracting #4: cost 13 inf + 1 0.598 * * [simplify]: Extracting #5: cost 16 inf + 1 0.598 * * [simplify]: Extracting #6: cost 15 inf + 125 0.598 * * [simplify]: Extracting #7: cost 10 inf + 411 0.598 * * [simplify]: Extracting #8: cost 5 inf + 961 0.598 * * [simplify]: Extracting #9: cost 2 inf + 1972 0.599 * * [simplify]: Extracting #10: cost 0 inf + 3201 0.599 * [simplify]: Simplified to: (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 0.601 * * [progress]: iteration 1 / 4 0.601 * * * [progress]: picking best candidate 0.610 * * * * [pick]: Picked # 0.610 * * * [progress]: localizing error 0.651 * * * [progress]: generating rewritten candidates 0.652 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.663 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.669 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.700 * * * [progress]: generating series expansions 0.700 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.705 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 0.706 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.707 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.707 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.707 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.707 * [backup-simplify]: Simplify lambda1 into lambda1 0.707 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 0.709 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 0.709 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 0.709 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.709 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.709 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.709 * [backup-simplify]: Simplify lambda2 into lambda2 0.709 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.709 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.709 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.709 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.709 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.709 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.709 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.709 * [backup-simplify]: Simplify lambda2 into lambda2 0.709 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 0.710 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 0.710 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 0.710 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 0.712 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 0.713 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 0.713 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 0.713 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.713 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.713 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (- 1) into -1 0.714 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (+ 0) into 0 0.716 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 1 0) into 1 0.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.719 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 0.719 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 0.719 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 0.719 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.719 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.719 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.719 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (- 1) into -1 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ 0) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.723 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 0.723 * [backup-simplify]: Simplify (- 0) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.725 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 0.725 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.725 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.726 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.726 * [backup-simplify]: Simplify 1/2 into 1/2 0.726 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.726 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.726 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (- 1) into -1 0.727 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.727 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.727 * [backup-simplify]: Simplify -1/2 into -1/2 0.728 * [backup-simplify]: Simplify (- 1) into -1 0.729 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 0.729 * [backup-simplify]: Simplify (- -1) into 1 0.729 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 0.730 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.730 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.730 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.730 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.730 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.730 * [backup-simplify]: Simplify lambda1 into lambda1 0.730 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.730 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.731 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (- 1) into -1 0.732 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.732 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.732 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.732 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.732 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.732 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.733 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.733 * [backup-simplify]: Simplify lambda2 into lambda2 0.733 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.734 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.734 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.734 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.734 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.734 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.734 * [backup-simplify]: Simplify lambda2 into lambda2 0.734 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.735 * [backup-simplify]: Simplify (+ 1 0) into 1 0.735 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.735 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.735 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.735 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.735 * [backup-simplify]: Simplify lambda1 into lambda1 0.735 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.735 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.735 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (- 1) into -1 0.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.737 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.737 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0.737 * [taylor]: Taking taylor expansion of 0 in lambda2 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [taylor]: Taking taylor expansion of 0 in lambda2 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [taylor]: Taking taylor expansion of 0 in lambda2 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 0.738 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.738 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.738 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.738 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.738 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.738 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.738 * [backup-simplify]: Simplify lambda1 into lambda1 0.738 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.739 * [backup-simplify]: Simplify (+ 1 0) into 1 0.739 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.739 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.739 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.739 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.739 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.739 * [backup-simplify]: Simplify lambda2 into lambda2 0.739 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.739 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.739 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.740 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.740 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.741 * [backup-simplify]: Simplify lambda2 into lambda2 0.741 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (/ 1 1) into 1 0.741 * [backup-simplify]: Simplify (- 1) into -1 0.742 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.742 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.742 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.742 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.742 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ 1 1) into 1 0.743 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.743 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.743 * [backup-simplify]: Simplify lambda1 into lambda1 0.743 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 0.743 * [backup-simplify]: Simplify (+ 1 0) into 1 0.743 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.743 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0.744 * [taylor]: Taking taylor expansion of 0 in lambda2 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [taylor]: Taking taylor expansion of 0 in lambda2 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [taylor]: Taking taylor expansion of 0 in lambda2 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 0.744 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.745 * [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)))) 0.745 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.746 * [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)))) 0.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.747 * [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)))) 0.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.747 * [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)))) 0.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.748 * [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)))) 0.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.748 * [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)))) 0.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.749 * [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)))) 0.749 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.749 * [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)))) 0.749 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.750 * [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)))) 0.750 * [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)))) 0.750 * [taylor]: Taking taylor expansion of 0 in phi2 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [taylor]: Taking taylor expansion of 0 in lambda1 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [taylor]: Taking taylor expansion of 0 in lambda2 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [taylor]: Taking taylor expansion of 0 in lambda1 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [taylor]: Taking taylor expansion of 0 in lambda2 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [taylor]: Taking taylor expansion of 0 in lambda2 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [taylor]: Taking taylor expansion of 0 in phi2 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [taylor]: Taking taylor expansion of 0 in lambda1 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [taylor]: Taking taylor expansion of 0 in lambda1 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [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)))) 0.752 * [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)))))) 0.752 * [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 0.752 * [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 0.752 * [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)))))) 0.752 * [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 0.753 * [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)))))) 0.753 * [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 0.754 * [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)))))) 0.754 * [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 0.754 * [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)))))) 0.754 * [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 0.755 * [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)))))) 0.755 * [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 0.755 * [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)))))) 0.755 * [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 0.756 * [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)))))) 0.756 * [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 0.756 * [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)))))) 0.757 * [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)))))) 0.757 * [taylor]: Taking taylor expansion of 0 in phi2 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [taylor]: Taking taylor expansion of 0 in lambda1 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [taylor]: Taking taylor expansion of 0 in lambda2 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [taylor]: Taking taylor expansion of 0 in lambda1 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [taylor]: Taking taylor expansion of 0 in lambda2 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [taylor]: Taking taylor expansion of 0 in lambda2 0.757 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in phi2 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in lambda1 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in lambda2 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in lambda1 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [taylor]: Taking taylor expansion of 0 in lambda2 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.759 * [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)))) 0.759 * [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))))))) 0.759 * [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 0.759 * [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 0.760 * [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))))))) 0.760 * [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 0.760 * [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))))))) 0.760 * [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 0.761 * [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))))))) 0.761 * [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 0.762 * [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))))))) 0.762 * [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 0.762 * [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))))))) 0.762 * [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 0.763 * [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))))))) 0.763 * [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 0.763 * [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))))))) 0.763 * [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 0.764 * [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))))))) 0.764 * [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))))))) 0.764 * [taylor]: Taking taylor expansion of 0 in phi2 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda1 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda1 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in phi2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda1 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda1 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [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)))) 0.766 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.766 * [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) 0.766 * [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 0.767 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.767 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.767 * [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)))) 0.767 * [taylor]: Taking taylor expansion of R in R 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.767 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.768 * [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)))) 0.768 * [taylor]: Taking taylor expansion of R in lambda2 0.768 * [backup-simplify]: Simplify R into R 0.768 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.768 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.769 * [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)))) 0.769 * [taylor]: Taking taylor expansion of R in lambda1 0.769 * [backup-simplify]: Simplify R into R 0.769 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.769 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.769 * [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)))) 0.769 * [taylor]: Taking taylor expansion of R in phi2 0.769 * [backup-simplify]: Simplify R into R 0.769 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.769 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.770 * [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)))) 0.770 * [taylor]: Taking taylor expansion of R in phi1 0.770 * [backup-simplify]: Simplify R into R 0.770 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 0.770 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 0.770 * [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)))) 0.770 * [taylor]: Taking taylor expansion of R in phi1 0.770 * [backup-simplify]: Simplify R into R 0.771 * [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) 0.771 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 0.771 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 0.771 * [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)))) 0.771 * [taylor]: Taking taylor expansion of R in phi2 0.771 * [backup-simplify]: Simplify R into R 0.772 * [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) 0.772 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 0.772 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 0.772 * [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)))) 0.772 * [taylor]: Taking taylor expansion of R in lambda1 0.772 * [backup-simplify]: Simplify R into R 0.773 * [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) 0.773 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 0.773 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 0.773 * [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)))) 0.773 * [taylor]: Taking taylor expansion of R in lambda2 0.773 * [backup-simplify]: Simplify R into R 0.774 * [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) 0.774 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 0.774 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 0.774 * [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)))) 0.775 * [taylor]: Taking taylor expansion of R in R 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.776 * [taylor]: Taking taylor expansion of 0 in phi2 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [taylor]: Taking taylor expansion of 0 in lambda1 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [taylor]: Taking taylor expansion of 0 in lambda2 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [taylor]: Taking taylor expansion of 0 in R 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.776 * [taylor]: Taking taylor expansion of 0 in lambda1 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [taylor]: Taking taylor expansion of 0 in lambda2 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [taylor]: Taking taylor expansion of 0 in R 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.777 * [taylor]: Taking taylor expansion of 0 in lambda2 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [taylor]: Taking taylor expansion of 0 in R 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 0.778 * [taylor]: Taking taylor expansion of 0 in R 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [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)))) 0.779 * [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)))) 0.780 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.780 * [taylor]: Taking taylor expansion of 0 in phi2 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [taylor]: Taking taylor expansion of 0 in lambda1 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [taylor]: Taking taylor expansion of 0 in lambda2 0.780 * [backup-simplify]: Simplify 0 into 0 0.781 * [taylor]: Taking taylor expansion of 0 in R 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [taylor]: Taking taylor expansion of 0 in lambda1 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [taylor]: Taking taylor expansion of 0 in lambda2 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [taylor]: Taking taylor expansion of 0 in R 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in lambda1 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in lambda2 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in R 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in lambda2 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in R 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in lambda2 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in R 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 0.783 * [taylor]: Taking taylor expansion of 0 in lambda2 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [taylor]: Taking taylor expansion of 0 in R 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [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) 0.785 * [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) 0.785 * [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 0.785 * [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 0.785 * [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 0.786 * [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)))))) 0.786 * [taylor]: Taking taylor expansion of R in R 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.787 * [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)))))) 0.787 * [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 0.787 * [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 0.787 * [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)))))) 0.787 * [taylor]: Taking taylor expansion of R in lambda2 0.787 * [backup-simplify]: Simplify R into R 0.788 * [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) 0.788 * [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 0.788 * [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 0.789 * [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)))))) 0.789 * [taylor]: Taking taylor expansion of R in lambda1 0.789 * [backup-simplify]: Simplify R into R 0.789 * [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) 0.789 * [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 0.789 * [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 0.790 * [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)))))) 0.790 * [taylor]: Taking taylor expansion of R in phi2 0.790 * [backup-simplify]: Simplify R into R 0.791 * [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) 0.791 * [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 0.791 * [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 0.791 * [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)))))) 0.791 * [taylor]: Taking taylor expansion of R in phi1 0.791 * [backup-simplify]: Simplify R into R 0.792 * [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) 0.792 * [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 0.792 * [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 0.793 * [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)))))) 0.793 * [taylor]: Taking taylor expansion of R in phi1 0.793 * [backup-simplify]: Simplify R into R 0.793 * [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) 0.793 * [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 0.793 * [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 0.794 * [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)))))) 0.794 * [taylor]: Taking taylor expansion of R in phi2 0.794 * [backup-simplify]: Simplify R into R 0.795 * [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) 0.795 * [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 0.795 * [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 0.795 * [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)))))) 0.795 * [taylor]: Taking taylor expansion of R in lambda1 0.796 * [backup-simplify]: Simplify R into R 0.796 * [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) 0.796 * [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 0.796 * [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 0.797 * [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)))))) 0.797 * [taylor]: Taking taylor expansion of R in lambda2 0.797 * [backup-simplify]: Simplify R into R 0.797 * [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) 0.797 * [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 0.798 * [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 0.798 * [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)))))) 0.798 * [taylor]: Taking taylor expansion of R in R 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [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)))))) 0.799 * [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)))))) 0.800 * [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 0.801 * [taylor]: Taking taylor expansion of 0 in phi2 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [taylor]: Taking taylor expansion of 0 in lambda1 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [taylor]: Taking taylor expansion of 0 in lambda2 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [taylor]: Taking taylor expansion of 0 in R 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [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 0.801 * [taylor]: Taking taylor expansion of 0 in lambda1 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [taylor]: Taking taylor expansion of 0 in lambda2 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [taylor]: Taking taylor expansion of 0 in R 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [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 0.802 * [taylor]: Taking taylor expansion of 0 in lambda2 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [taylor]: Taking taylor expansion of 0 in R 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [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 0.803 * [taylor]: Taking taylor expansion of 0 in R 0.803 * [backup-simplify]: Simplify 0 into 0 0.805 * [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 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [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 0.806 * [taylor]: Taking taylor expansion of 0 in phi2 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in lambda1 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in lambda2 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in R 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in lambda1 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in lambda2 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in R 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [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 0.807 * [taylor]: Taking taylor expansion of 0 in lambda1 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [taylor]: Taking taylor expansion of 0 in lambda2 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [taylor]: Taking taylor expansion of 0 in R 0.807 * [backup-simplify]: Simplify 0 into 0 0.808 * [taylor]: Taking taylor expansion of 0 in lambda2 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [taylor]: Taking taylor expansion of 0 in R 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [taylor]: Taking taylor expansion of 0 in lambda2 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [taylor]: Taking taylor expansion of 0 in R 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [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 0.809 * [taylor]: Taking taylor expansion of 0 in lambda2 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [taylor]: Taking taylor expansion of 0 in R 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [taylor]: Taking taylor expansion of 0 in R 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [taylor]: Taking taylor expansion of 0 in R 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [taylor]: Taking taylor expansion of 0 in R 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [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 0.810 * [taylor]: Taking taylor expansion of 0 in R 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.812 * [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 0.812 * [backup-simplify]: Simplify 0 into 0 0.813 * [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) 0.814 * [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)) 0.814 * [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 0.814 * [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 0.814 * [taylor]: Taking taylor expansion of -1 in R 0.814 * [backup-simplify]: Simplify -1 into -1 0.814 * [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 0.815 * [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 0.815 * [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))))))) 0.815 * [taylor]: Taking taylor expansion of R in R 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.816 * [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))))))) 0.816 * [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 0.816 * [taylor]: Taking taylor expansion of -1 in lambda2 0.816 * [backup-simplify]: Simplify -1 into -1 0.816 * [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 0.816 * [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 0.816 * [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))))))) 0.817 * [taylor]: Taking taylor expansion of R in lambda2 0.817 * [backup-simplify]: Simplify R into R 0.817 * [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) 0.817 * [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 0.817 * [taylor]: Taking taylor expansion of -1 in lambda1 0.817 * [backup-simplify]: Simplify -1 into -1 0.817 * [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 0.817 * [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 0.818 * [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))))))) 0.818 * [taylor]: Taking taylor expansion of R in lambda1 0.818 * [backup-simplify]: Simplify R into R 0.819 * [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) 0.819 * [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 0.819 * [taylor]: Taking taylor expansion of -1 in phi2 0.819 * [backup-simplify]: Simplify -1 into -1 0.819 * [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 0.819 * [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 0.819 * [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))))))) 0.819 * [taylor]: Taking taylor expansion of R in phi2 0.819 * [backup-simplify]: Simplify R into R 0.820 * [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) 0.820 * [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 0.820 * [taylor]: Taking taylor expansion of -1 in phi1 0.820 * [backup-simplify]: Simplify -1 into -1 0.820 * [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 0.820 * [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 0.821 * [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))))))) 0.821 * [taylor]: Taking taylor expansion of R in phi1 0.821 * [backup-simplify]: Simplify R into R 0.821 * [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) 0.821 * [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 0.822 * [taylor]: Taking taylor expansion of -1 in phi1 0.822 * [backup-simplify]: Simplify -1 into -1 0.822 * [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 0.822 * [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 0.822 * [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))))))) 0.822 * [taylor]: Taking taylor expansion of R in phi1 0.822 * [backup-simplify]: Simplify R into R 0.823 * [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) 0.823 * [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)) 0.824 * [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 0.824 * [taylor]: Taking taylor expansion of -1 in phi2 0.824 * [backup-simplify]: Simplify -1 into -1 0.824 * [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 0.824 * [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 0.824 * [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))))))) 0.824 * [taylor]: Taking taylor expansion of R in phi2 0.824 * [backup-simplify]: Simplify R into R 0.825 * [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) 0.826 * [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)) 0.826 * [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 0.826 * [taylor]: Taking taylor expansion of -1 in lambda1 0.826 * [backup-simplify]: Simplify -1 into -1 0.826 * [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 0.826 * [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 0.826 * [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))))))) 0.826 * [taylor]: Taking taylor expansion of R in lambda1 0.826 * [backup-simplify]: Simplify R into R 0.827 * [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) 0.828 * [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)) 0.828 * [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 0.828 * [taylor]: Taking taylor expansion of -1 in lambda2 0.828 * [backup-simplify]: Simplify -1 into -1 0.828 * [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 0.828 * [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 0.829 * [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))))))) 0.829 * [taylor]: Taking taylor expansion of R in lambda2 0.829 * [backup-simplify]: Simplify R into R 0.829 * [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) 0.830 * [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)) 0.830 * [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 0.830 * [taylor]: Taking taylor expansion of -1 in R 0.830 * [backup-simplify]: Simplify -1 into -1 0.830 * [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 0.830 * [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 0.831 * [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))))))) 0.831 * [taylor]: Taking taylor expansion of R in R 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [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))))))) 0.832 * [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)))))))) 0.832 * [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)))))))) 0.833 * [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 0.835 * [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 0.835 * [taylor]: Taking taylor expansion of 0 in phi2 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [taylor]: Taking taylor expansion of 0 in lambda1 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [taylor]: Taking taylor expansion of 0 in lambda2 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [taylor]: Taking taylor expansion of 0 in R 0.835 * [backup-simplify]: Simplify 0 into 0 0.836 * [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 0.837 * [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 0.837 * [taylor]: Taking taylor expansion of 0 in lambda1 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [taylor]: Taking taylor expansion of 0 in lambda2 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [taylor]: Taking taylor expansion of 0 in R 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [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 0.840 * [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 0.840 * [taylor]: Taking taylor expansion of 0 in lambda2 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [taylor]: Taking taylor expansion of 0 in R 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [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 0.842 * [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 0.842 * [taylor]: Taking taylor expansion of 0 in R 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [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 0.845 * [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 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [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 0.847 * [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 0.847 * [taylor]: Taking taylor expansion of 0 in phi2 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in lambda1 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in lambda2 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in R 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in lambda1 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in lambda2 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in R 0.847 * [backup-simplify]: Simplify 0 into 0 0.848 * [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 0.850 * [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 0.850 * [taylor]: Taking taylor expansion of 0 in lambda1 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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 0.850 * [backup-simplify]: Simplify 0 into 0 0.851 * [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 0.853 * [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 0.853 * [taylor]: Taking taylor expansion of 0 in lambda2 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [taylor]: Taking taylor expansion of 0 in R 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [taylor]: Taking taylor expansion of 0 in R 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [taylor]: Taking taylor expansion of 0 in R 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [taylor]: Taking taylor expansion of 0 in R 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [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 0.855 * [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 0.855 * [taylor]: Taking taylor expansion of 0 in R 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.865 * [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 0.867 * [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 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [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) 0.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.868 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 0.868 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.868 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.868 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.868 * [taylor]: Taking taylor expansion of phi1 in phi2 0.868 * [backup-simplify]: Simplify phi1 into phi1 0.868 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 0.869 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 0.869 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.869 * [taylor]: Taking taylor expansion of phi2 in phi2 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.869 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.869 * [taylor]: Taking taylor expansion of phi1 in phi1 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.869 * [taylor]: Taking taylor expansion of phi2 in phi1 0.869 * [backup-simplify]: Simplify phi2 into phi2 0.869 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.869 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.869 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.869 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.869 * [taylor]: Taking taylor expansion of phi1 in phi1 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.869 * [taylor]: Taking taylor expansion of phi2 in phi1 0.869 * [backup-simplify]: Simplify phi2 into phi2 0.869 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 0.869 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 0.870 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 0.870 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 0.870 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 0.870 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 0.870 * [taylor]: Taking taylor expansion of 0 in phi2 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (+ 0) into 0 0.871 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.872 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.874 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 0.874 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.874 * [taylor]: Taking taylor expansion of phi2 in phi2 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 0.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.878 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 0.880 * [taylor]: Taking taylor expansion of 0 in phi2 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.883 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.886 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 0.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 0.889 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.889 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.889 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.889 * [backup-simplify]: Simplify 1/6 into 1/6 0.889 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.889 * [taylor]: Taking taylor expansion of phi2 in phi2 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* 1/6 0) into 0 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.894 * [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 0.895 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.898 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 0.901 * [taylor]: Taking taylor expansion of 0 in phi2 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 0.902 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.902 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 0.902 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 0.902 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.902 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.902 * [taylor]: Taking taylor expansion of phi2 in phi2 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.902 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.902 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.903 * [taylor]: Taking taylor expansion of phi1 in phi2 0.903 * [backup-simplify]: Simplify phi1 into phi1 0.903 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.903 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.903 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.903 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 0.903 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.903 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.903 * [taylor]: Taking taylor expansion of phi2 in phi1 0.903 * [backup-simplify]: Simplify phi2 into phi2 0.903 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.903 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.903 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.903 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.903 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.903 * [taylor]: Taking taylor expansion of phi1 in phi1 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.904 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 0.904 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.904 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.904 * [taylor]: Taking taylor expansion of phi2 in phi1 0.904 * [backup-simplify]: Simplify phi2 into phi2 0.904 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 0.904 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.904 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 0.904 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.904 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.904 * [taylor]: Taking taylor expansion of phi1 in phi1 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.905 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 0.905 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 0.905 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 0.905 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.905 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 0.905 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.905 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.905 * [taylor]: Taking taylor expansion of phi2 in phi2 0.905 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 0.906 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.906 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.906 * [taylor]: Taking taylor expansion of phi1 in phi2 0.906 * [backup-simplify]: Simplify phi1 into phi1 0.906 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 0.906 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 0.906 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 0.906 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 0.907 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 0.907 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 0.907 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.907 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 0.907 * [backup-simplify]: Simplify (+ 0) into 0 0.908 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 0.910 * [taylor]: Taking taylor expansion of 0 in phi2 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ 0) into 0 0.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.915 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.916 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.916 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 0.917 * [taylor]: Taking taylor expansion of 0 in phi2 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.925 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 0.927 * [taylor]: Taking taylor expansion of 0 in phi2 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 0.927 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.927 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.927 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.927 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.927 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.927 * [taylor]: Taking taylor expansion of -1 in phi2 0.927 * [backup-simplify]: Simplify -1 into -1 0.927 * [taylor]: Taking taylor expansion of phi1 in phi2 0.927 * [backup-simplify]: Simplify phi1 into phi1 0.927 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.927 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.928 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.928 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.928 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.928 * [taylor]: Taking taylor expansion of -1 in phi2 0.928 * [backup-simplify]: Simplify -1 into -1 0.928 * [taylor]: Taking taylor expansion of phi2 in phi2 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (/ -1 1) into -1 0.928 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.928 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.928 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.928 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.928 * [taylor]: Taking taylor expansion of -1 in phi1 0.928 * [backup-simplify]: Simplify -1 into -1 0.928 * [taylor]: Taking taylor expansion of phi1 in phi1 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (/ -1 1) into -1 0.929 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.929 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.929 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.929 * [taylor]: Taking taylor expansion of -1 in phi1 0.929 * [backup-simplify]: Simplify -1 into -1 0.929 * [taylor]: Taking taylor expansion of phi2 in phi1 0.929 * [backup-simplify]: Simplify phi2 into phi2 0.929 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.929 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.929 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.929 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.930 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.930 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.930 * [taylor]: Taking taylor expansion of -1 in phi1 0.930 * [backup-simplify]: Simplify -1 into -1 0.930 * [taylor]: Taking taylor expansion of phi1 in phi1 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ -1 1) into -1 0.930 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.930 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.930 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.930 * [taylor]: Taking taylor expansion of -1 in phi1 0.930 * [backup-simplify]: Simplify -1 into -1 0.930 * [taylor]: Taking taylor expansion of phi2 in phi1 0.930 * [backup-simplify]: Simplify phi2 into phi2 0.930 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 0.931 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.931 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 0.931 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 0.931 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 0.931 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 0.931 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.931 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.931 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.931 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.931 * [taylor]: Taking taylor expansion of -1 in phi2 0.931 * [backup-simplify]: Simplify -1 into -1 0.931 * [taylor]: Taking taylor expansion of phi1 in phi2 0.931 * [backup-simplify]: Simplify phi1 into phi1 0.931 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 0.931 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 0.932 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 0.932 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.932 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.932 * [taylor]: Taking taylor expansion of -1 in phi2 0.932 * [backup-simplify]: Simplify -1 into -1 0.932 * [taylor]: Taking taylor expansion of phi2 in phi2 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (/ -1 1) into -1 0.932 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 0.932 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 0.933 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 0.933 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 0.933 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.933 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 0.933 * [backup-simplify]: Simplify (+ 0) into 0 0.934 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 0.934 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.935 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.936 * [taylor]: Taking taylor expansion of 0 in phi2 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 (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.938 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.943 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.944 * [taylor]: Taking taylor expansion of 0 in phi2 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.950 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 0.954 * [taylor]: Taking taylor expansion of 0 in phi2 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 0.954 * * * [progress]: simplifying candidates 0.956 * [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)) 0.959 * * [simplify]: iteration 0: 111 enodes 1.000 * * [simplify]: iteration 1: 208 enodes 1.064 * * [simplify]: iteration 2: 460 enodes 1.303 * * [simplify]: iteration 3: 1111 enodes 2.091 * * [simplify]: iteration 4: 2877 enodes 3.278 * * [simplify]: iteration complete: 5003 enodes 3.278 * * [simplify]: Extracting #0: cost 47 inf + 0 3.279 * * [simplify]: Extracting #1: cost 359 inf + 0 3.282 * * [simplify]: Extracting #2: cost 843 inf + 2562 3.289 * * [simplify]: Extracting #3: cost 837 inf + 31614 3.325 * * [simplify]: Extracting #4: cost 527 inf + 104525 3.371 * * [simplify]: Extracting #5: cost 387 inf + 131742 3.434 * * [simplify]: Extracting #6: cost 192 inf + 269577 3.520 * * [simplify]: Extracting #7: cost 19 inf + 398773 3.627 * * [simplify]: Extracting #8: cost 0 inf + 412985 3.716 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin (- lambda2)) (sin lambda1)) (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (cos (- lambda1 lambda2)) (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (log (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (log (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (exp (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))) (* (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))))) (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* (cbrt R) (cbrt R))) (* (sqrt R) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (sqrt (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (sqrt (sin phi2)) (sqrt (sin phi1))) (* (* (cbrt (sin phi2)) (cbrt (sin phi2))) (sin phi1)) (* (sqrt (sin phi2)) (sin phi1)) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (+ (* lambda1 (+ lambda2 (* lambda1 -1/2))) 1) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2)))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi2) (* (cos phi1) (cos (- lambda1 lambda2)))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.725 * * * [progress]: adding candidates to table 4.313 * * [progress]: iteration 2 / 4 4.313 * * * [progress]: picking best candidate 4.487 * * * * [pick]: Picked # 4.487 * * * [progress]: localizing error 4.569 * * * [progress]: generating rewritten candidates 4.569 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.570 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2) 4.585 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.590 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.610 * * * [progress]: generating series expansions 4.610 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.611 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.611 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 4.611 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.612 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.612 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.613 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.613 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.614 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.614 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.615 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.615 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.615 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.616 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.617 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.617 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.618 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.619 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.619 * [taylor]: Taking taylor expansion of 0 in phi2 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda1 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda2 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda1 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda2 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda2 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in phi2 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda1 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [taylor]: Taking taylor expansion of 0 in lambda2 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [taylor]: Taking taylor expansion of 0 in lambda1 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [taylor]: Taking taylor expansion of 0 in lambda2 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.621 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.621 * [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 4.622 * [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 4.623 * [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)))))))) 4.623 * [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 4.624 * [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)))))))) 4.624 * [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 4.625 * [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)))))))) 4.625 * [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 4.626 * [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)))))))) 4.626 * [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 phi1 4.627 * [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)))))))) 4.627 * [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 4.628 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.628 * [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 lambda1 4.629 * [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)))))))) 4.629 * [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 4.630 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.631 * [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)))))))) 4.631 * [taylor]: Taking taylor expansion of 0 in phi2 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [taylor]: Taking taylor expansion of 0 in lambda1 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda1 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in phi2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda1 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda1 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [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))))) 4.634 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.635 * [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 4.635 * [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 4.636 * [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)))))))) 4.636 * [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 4.637 * [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)))))))) 4.637 * [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 4.638 * [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)))))))) 4.638 * [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 4.639 * [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)))))))) 4.639 * [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 4.640 * [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)))))))) 4.640 * [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 4.641 * [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)))))))) 4.641 * [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 4.642 * [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)))))))) 4.642 * [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 4.643 * [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)))))))) 4.644 * [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)))))))) 4.644 * [taylor]: Taking taylor expansion of 0 in phi2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda1 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda1 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in phi2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda1 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda1 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [taylor]: Taking taylor expansion of 0 in lambda2 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 0 into 0 4.647 * [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))))) 4.647 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2) 4.647 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.647 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.647 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.647 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.647 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.647 * [backup-simplify]: Simplify lambda1 into lambda1 4.647 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.647 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.647 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.647 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.647 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.647 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.648 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.648 * [backup-simplify]: Simplify lambda2 into lambda2 4.648 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.648 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.648 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.648 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.648 * [backup-simplify]: Simplify lambda2 into lambda2 4.648 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.648 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.648 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.648 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.648 * [taylor]: Taking taylor expansion of 0 in lambda2 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ 0) into 0 4.650 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.651 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.651 * [backup-simplify]: Simplify (+ 0 0) into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 4.653 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.653 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.654 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.655 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.656 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 4.658 * [taylor]: Taking taylor expansion of 0 in lambda2 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.660 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.663 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.663 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 4.666 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 4.666 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.666 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.666 * [backup-simplify]: Simplify 1/6 into 1/6 4.666 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.666 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 0 into 0 4.670 * [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 4.671 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.673 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.673 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 4.677 * [taylor]: Taking taylor expansion of 0 in lambda2 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 4.677 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.677 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 4.677 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.677 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.677 * [taylor]: Taking taylor expansion of (/ 1 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 4.678 * [backup-simplify]: Simplify (/ 1 1) into 1 4.678 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.678 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.678 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 lambda1) into (/ 1 lambda1) 4.678 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.678 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.678 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.678 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.678 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.678 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.678 * [backup-simplify]: Simplify lambda2 into lambda2 4.678 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.678 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.678 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.678 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.679 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.679 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.679 * [backup-simplify]: Simplify (/ 1 1) into 1 4.679 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.679 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.679 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.679 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.679 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.679 * [backup-simplify]: Simplify lambda2 into lambda2 4.679 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.679 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.679 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.679 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.679 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.680 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.680 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.680 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.680 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.681 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.681 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.681 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.681 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.681 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.681 * [backup-simplify]: Simplify lambda1 into lambda1 4.681 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.681 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.681 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.682 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.682 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.682 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.682 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.682 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.683 * [backup-simplify]: Simplify (+ 0) into 0 4.683 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.684 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.685 * [taylor]: Taking taylor expansion of 0 in lambda2 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (+ 0) into 0 4.686 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.687 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.688 * [backup-simplify]: Simplify (+ 0 0) into 0 4.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.688 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.689 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.690 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.691 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.691 * [backup-simplify]: Simplify (+ 0 0) into 0 4.692 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.692 * [taylor]: Taking taylor expansion of 0 in lambda2 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.695 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.696 * [backup-simplify]: Simplify (+ 0 0) into 0 4.696 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.698 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.700 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.701 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 4.702 * [taylor]: Taking taylor expansion of 0 in lambda2 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 4.702 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.702 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.702 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.702 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.702 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.702 * [taylor]: Taking taylor expansion of -1 in lambda2 4.702 * [backup-simplify]: Simplify -1 into -1 4.702 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.702 * [backup-simplify]: Simplify lambda1 into lambda1 4.702 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.703 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.703 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.703 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.703 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.703 * [taylor]: Taking taylor expansion of -1 in lambda2 4.703 * [backup-simplify]: Simplify -1 into -1 4.703 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (/ -1 1) into -1 4.707 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.707 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.707 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.707 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.707 * [taylor]: Taking taylor expansion of -1 in lambda1 4.707 * [backup-simplify]: Simplify -1 into -1 4.707 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.708 * [backup-simplify]: Simplify (/ -1 1) into -1 4.708 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.708 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.708 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.708 * [taylor]: Taking taylor expansion of -1 in lambda1 4.708 * [backup-simplify]: Simplify -1 into -1 4.708 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.708 * [backup-simplify]: Simplify lambda2 into lambda2 4.708 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.708 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.708 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.708 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.708 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.708 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.708 * [taylor]: Taking taylor expansion of -1 in lambda1 4.709 * [backup-simplify]: Simplify -1 into -1 4.709 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (/ -1 1) into -1 4.709 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.709 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.709 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.709 * [taylor]: Taking taylor expansion of -1 in lambda1 4.709 * [backup-simplify]: Simplify -1 into -1 4.709 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.709 * [backup-simplify]: Simplify lambda2 into lambda2 4.709 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.709 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.710 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.710 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.710 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.710 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.710 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.710 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.710 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.710 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.710 * [taylor]: Taking taylor expansion of -1 in lambda2 4.710 * [backup-simplify]: Simplify -1 into -1 4.710 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.710 * [backup-simplify]: Simplify lambda1 into lambda1 4.710 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.710 * [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)) in lambda2 4.711 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.711 * [taylor]: Taking taylor expansion of -1 in lambda2 4.711 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.711 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.712 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.712 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.712 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.712 * [backup-simplify]: Simplify (+ 0) into 0 4.713 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.713 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.715 * [backup-simplify]: Simplify (+ 0 0) into 0 4.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.715 * [taylor]: Taking taylor expansion of 0 in lambda2 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 0 into 0 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 (- (/ 0 lambda1) (+ (* (/ -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 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.719 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.720 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.721 * [backup-simplify]: Simplify (+ 0 0) into 0 4.722 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.722 * [taylor]: Taking taylor expansion of 0 in lambda2 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.724 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.724 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.725 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.727 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.729 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.731 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.732 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 4.733 * [taylor]: Taking taylor expansion of 0 in lambda2 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 4.733 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.734 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.734 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 4.734 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.734 * [taylor]: Taking taylor expansion of R in R 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.735 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.735 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.735 * [taylor]: Taking taylor expansion of R in lambda2 4.735 * [backup-simplify]: Simplify R into R 4.735 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.736 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.736 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.736 * [taylor]: Taking taylor expansion of R in lambda1 4.736 * [backup-simplify]: Simplify R into R 4.736 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.737 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.737 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.737 * [taylor]: Taking taylor expansion of R in phi2 4.737 * [backup-simplify]: Simplify R into R 4.737 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.737 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.737 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.738 * [taylor]: Taking taylor expansion of R in phi1 4.738 * [backup-simplify]: Simplify R into R 4.738 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.738 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.738 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.738 * [taylor]: Taking taylor expansion of R in phi1 4.738 * [backup-simplify]: Simplify R into R 4.738 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.739 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.740 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.740 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.740 * [taylor]: Taking taylor expansion of R in phi2 4.740 * [backup-simplify]: Simplify R into R 4.740 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.741 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.742 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.742 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.742 * [taylor]: Taking taylor expansion of R in lambda1 4.742 * [backup-simplify]: Simplify R into R 4.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.743 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.743 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.743 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.744 * [taylor]: Taking taylor expansion of R in lambda2 4.744 * [backup-simplify]: Simplify R into R 4.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.744 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.745 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.745 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.745 * [taylor]: Taking taylor expansion of R in R 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 1 into 1 4.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.746 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.747 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.747 * [taylor]: Taking taylor expansion of 0 in phi2 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [taylor]: Taking taylor expansion of 0 in lambda1 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [taylor]: Taking taylor expansion of 0 in lambda2 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [taylor]: Taking taylor expansion of 0 in R 4.747 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.748 * [taylor]: Taking taylor expansion of 0 in lambda1 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [taylor]: Taking taylor expansion of 0 in lambda2 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [taylor]: Taking taylor expansion of 0 in R 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.749 * [taylor]: Taking taylor expansion of 0 in lambda2 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [taylor]: Taking taylor expansion of 0 in R 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.749 * [taylor]: Taking taylor expansion of 0 in R 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.750 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.751 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.751 * [taylor]: Taking taylor expansion of 0 in phi2 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [taylor]: Taking taylor expansion of 0 in lambda1 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [taylor]: Taking taylor expansion of 0 in lambda2 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [taylor]: Taking taylor expansion of 0 in R 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [taylor]: Taking taylor expansion of 0 in lambda1 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [taylor]: Taking taylor expansion of 0 in lambda2 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [taylor]: Taking taylor expansion of 0 in R 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.752 * [taylor]: Taking taylor expansion of 0 in lambda1 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [taylor]: Taking taylor expansion of 0 in lambda2 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [taylor]: Taking taylor expansion of 0 in R 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [taylor]: Taking taylor expansion of 0 in lambda2 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [taylor]: Taking taylor expansion of 0 in R 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [taylor]: Taking taylor expansion of 0 in lambda2 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [taylor]: Taking taylor expansion of 0 in R 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.753 * [taylor]: Taking taylor expansion of 0 in lambda2 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [taylor]: Taking taylor expansion of 0 in R 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.755 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.755 * [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 4.755 * [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 4.755 * [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 4.755 * [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)))))))) 4.755 * [taylor]: Taking taylor expansion of R in R 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.756 * [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)))))))) 4.756 * [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 4.756 * [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 4.756 * [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)))))))) 4.756 * [taylor]: Taking taylor expansion of R in lambda2 4.756 * [backup-simplify]: Simplify R into R 4.757 * [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) 4.757 * [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 4.757 * [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 4.758 * [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)))))))) 4.758 * [taylor]: Taking taylor expansion of R in lambda1 4.758 * [backup-simplify]: Simplify R into R 4.758 * [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) 4.758 * [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 4.758 * [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 4.759 * [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)))))))) 4.759 * [taylor]: Taking taylor expansion of R in phi2 4.759 * [backup-simplify]: Simplify R into R 4.759 * [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) 4.759 * [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 4.759 * [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 4.760 * [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)))))))) 4.760 * [taylor]: Taking taylor expansion of R in phi1 4.760 * [backup-simplify]: Simplify R into R 4.760 * [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) 4.760 * [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 4.760 * [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 4.761 * [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)))))))) 4.761 * [taylor]: Taking taylor expansion of R in phi1 4.761 * [backup-simplify]: Simplify R into R 4.762 * [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) 4.762 * [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 4.762 * [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 4.762 * [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)))))))) 4.762 * [taylor]: Taking taylor expansion of R in phi2 4.762 * [backup-simplify]: Simplify R into R 4.763 * [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) 4.763 * [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 4.763 * [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 4.763 * [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)))))))) 4.763 * [taylor]: Taking taylor expansion of R in lambda1 4.763 * [backup-simplify]: Simplify R into R 4.764 * [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) 4.764 * [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 4.764 * [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 4.764 * [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)))))))) 4.764 * [taylor]: Taking taylor expansion of R in lambda2 4.765 * [backup-simplify]: Simplify R into R 4.765 * [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) 4.765 * [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 4.765 * [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 4.766 * [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)))))))) 4.766 * [taylor]: Taking taylor expansion of R in R 4.766 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify 1 into 1 4.766 * [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)))))))) 4.767 * [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)))))))) 4.767 * [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 4.768 * [taylor]: Taking taylor expansion of 0 in phi2 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [taylor]: Taking taylor expansion of 0 in lambda1 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [taylor]: Taking taylor expansion of 0 in lambda2 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [taylor]: Taking taylor expansion of 0 in R 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [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 4.768 * [taylor]: Taking taylor expansion of 0 in lambda1 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [taylor]: Taking taylor expansion of 0 in lambda2 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [taylor]: Taking taylor expansion of 0 in R 4.768 * [backup-simplify]: Simplify 0 into 0 4.769 * [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 4.769 * [taylor]: Taking taylor expansion of 0 in lambda2 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in R 4.769 * [backup-simplify]: Simplify 0 into 0 4.770 * [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 4.770 * [taylor]: Taking taylor expansion of 0 in R 4.770 * [backup-simplify]: Simplify 0 into 0 4.771 * [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 4.771 * [backup-simplify]: Simplify 0 into 0 4.772 * [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 4.772 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 * [taylor]: Taking taylor expansion of 0 in R 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [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 4.773 * [taylor]: Taking taylor expansion of 0 in lambda1 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in lambda2 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in R 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in lambda2 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in R 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in lambda2 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in R 4.773 * [backup-simplify]: Simplify 0 into 0 4.774 * [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 4.774 * [taylor]: Taking taylor expansion of 0 in lambda2 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [taylor]: Taking taylor expansion of 0 in R 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [taylor]: Taking taylor expansion of 0 in R 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [taylor]: Taking taylor expansion of 0 in R 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [taylor]: Taking taylor expansion of 0 in R 4.774 * [backup-simplify]: Simplify 0 into 0 4.775 * [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 4.775 * [taylor]: Taking taylor expansion of 0 in R 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.778 * [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 4.778 * [backup-simplify]: Simplify 0 into 0 4.780 * [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) 4.781 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.781 * [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 4.781 * [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 4.781 * [taylor]: Taking taylor expansion of -1 in R 4.781 * [backup-simplify]: Simplify -1 into -1 4.781 * [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 4.781 * [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 4.782 * [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)))))))) 4.782 * [taylor]: Taking taylor expansion of R in R 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.783 * [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)))))))) 4.783 * [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 4.783 * [taylor]: Taking taylor expansion of -1 in lambda2 4.783 * [backup-simplify]: Simplify -1 into -1 4.783 * [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 4.783 * [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 4.784 * [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)))))))) 4.784 * [taylor]: Taking taylor expansion of R in lambda2 4.784 * [backup-simplify]: Simplify R into R 4.786 * [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) 4.786 * [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 4.786 * [taylor]: Taking taylor expansion of -1 in lambda1 4.786 * [backup-simplify]: Simplify -1 into -1 4.786 * [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 4.786 * [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 4.787 * [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)))))))) 4.787 * [taylor]: Taking taylor expansion of R in lambda1 4.787 * [backup-simplify]: Simplify R into R 4.788 * [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) 4.788 * [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 4.788 * [taylor]: Taking taylor expansion of -1 in phi2 4.788 * [backup-simplify]: Simplify -1 into -1 4.788 * [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 4.788 * [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 4.789 * [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)))))))) 4.789 * [taylor]: Taking taylor expansion of R in phi2 4.789 * [backup-simplify]: Simplify R into R 4.790 * [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) 4.790 * [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 4.790 * [taylor]: Taking taylor expansion of -1 in phi1 4.790 * [backup-simplify]: Simplify -1 into -1 4.790 * [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 4.790 * [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 4.791 * [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)))))))) 4.791 * [taylor]: Taking taylor expansion of R in phi1 4.791 * [backup-simplify]: Simplify R into R 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 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) 4.792 * [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 4.792 * [taylor]: Taking taylor expansion of -1 in phi1 4.792 * [backup-simplify]: Simplify -1 into -1 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)))))))) R) in phi1 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 phi1 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 R in phi1 4.793 * [backup-simplify]: Simplify R into R 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 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) 4.794 * [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)) 4.794 * [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 4.794 * [taylor]: Taking taylor expansion of -1 in phi2 4.794 * [backup-simplify]: Simplify -1 into -1 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 lambda2)) (cos (/ -1 phi2)))))))) R) in 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 lambda2)) (cos (/ -1 phi2)))))))) 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 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)))))))) 4.794 * [taylor]: Taking taylor expansion of R in phi2 4.794 * [backup-simplify]: Simplify R into R 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)))))))) 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) 4.795 * [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)) 4.796 * [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 4.796 * [taylor]: Taking taylor expansion of -1 in lambda1 4.796 * [backup-simplify]: Simplify -1 into -1 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 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 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 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 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 R in lambda1 4.796 * [backup-simplify]: Simplify R into R 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)))))))) 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) 4.797 * [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)) 4.797 * [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 4.797 * [taylor]: Taking taylor expansion of -1 in lambda2 4.797 * [backup-simplify]: Simplify -1 into -1 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 lambda2)) (cos (/ -1 phi2)))))))) R) in 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 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 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 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)))))))) 4.798 * [taylor]: Taking taylor expansion of R in lambda2 4.798 * [backup-simplify]: Simplify R into R 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)))))))) 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) 4.799 * [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)) 4.799 * [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 4.799 * [taylor]: Taking taylor expansion of -1 in R 4.799 * [backup-simplify]: Simplify -1 into -1 4.799 * [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 4.799 * [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 4.800 * [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)))))))) 4.800 * [taylor]: Taking taylor expansion of R in R 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 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 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)))))))) 4.801 * [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))))))))) 4.801 * [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))))))))) 4.802 * [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 4.803 * [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 4.803 * [taylor]: Taking taylor expansion of 0 in phi2 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [taylor]: Taking taylor expansion of 0 in lambda1 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [taylor]: Taking taylor expansion of 0 in lambda2 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [taylor]: Taking taylor expansion of 0 in R 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [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 4.805 * [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 4.805 * [taylor]: Taking taylor expansion of 0 in lambda1 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [taylor]: Taking taylor expansion of 0 in lambda2 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [taylor]: Taking taylor expansion of 0 in R 4.805 * [backup-simplify]: Simplify 0 into 0 4.806 * [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 4.807 * [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 4.807 * [taylor]: Taking taylor expansion of 0 in lambda2 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [taylor]: Taking taylor expansion of 0 in R 4.807 * [backup-simplify]: Simplify 0 into 0 4.807 * [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 4.808 * [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 4.808 * [taylor]: Taking taylor expansion of 0 in R 4.808 * [backup-simplify]: Simplify 0 into 0 4.809 * [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 4.810 * [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 4.810 * [backup-simplify]: Simplify 0 into 0 4.811 * [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 4.812 * [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 4.812 * [taylor]: Taking taylor expansion of 0 in phi2 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in lambda1 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in lambda2 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in R 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in lambda1 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in lambda2 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [taylor]: Taking taylor expansion of 0 in R 4.812 * [backup-simplify]: Simplify 0 into 0 4.813 * [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 4.814 * [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 4.814 * [taylor]: Taking taylor expansion of 0 in lambda1 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of 0 in lambda2 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of 0 in R 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of 0 in lambda2 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of 0 in R 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of 0 in lambda2 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [taylor]: Taking taylor expansion of 0 in R 4.814 * [backup-simplify]: Simplify 0 into 0 4.815 * [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 4.816 * [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 4.816 * [taylor]: Taking taylor expansion of 0 in lambda2 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [taylor]: Taking taylor expansion of 0 in R 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [taylor]: Taking taylor expansion of 0 in R 4.816 * [backup-simplify]: Simplify 0 into 0 4.817 * [taylor]: Taking taylor expansion of 0 in R 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [taylor]: Taking taylor expansion of 0 in R 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [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 4.818 * [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 4.818 * [taylor]: Taking taylor expansion of 0 in R 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 0 into 0 4.824 * [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 4.826 * [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 4.826 * [backup-simplify]: Simplify 0 into 0 4.828 * [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)))))) 4.828 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.828 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 4.828 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.828 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.828 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.828 * [taylor]: Taking taylor expansion of phi1 in phi2 4.828 * [backup-simplify]: Simplify phi1 into phi1 4.828 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.829 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.829 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.829 * [taylor]: Taking taylor expansion of phi2 in phi2 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.829 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.829 * [taylor]: Taking taylor expansion of phi1 in phi1 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.829 * [taylor]: Taking taylor expansion of phi2 in phi1 4.829 * [backup-simplify]: Simplify phi2 into phi2 4.829 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.829 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.829 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.829 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.829 * [taylor]: Taking taylor expansion of phi1 in phi1 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.829 * [taylor]: Taking taylor expansion of phi2 in phi1 4.829 * [backup-simplify]: Simplify phi2 into phi2 4.829 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.829 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.829 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 4.829 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 4.830 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 4.830 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 4.830 * [taylor]: Taking taylor expansion of 0 in phi2 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify (+ 0) into 0 4.831 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 4.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.832 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 4.832 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 4.833 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.834 * [taylor]: Taking taylor expansion of phi2 in phi2 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.835 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 4.836 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.836 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 4.836 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 4.837 * [taylor]: Taking taylor expansion of 0 in phi2 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.839 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.840 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.840 * [backup-simplify]: Simplify (+ 0 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 4.842 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 4.842 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.842 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.842 * [backup-simplify]: Simplify 1/6 into 1/6 4.842 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.842 * [taylor]: Taking taylor expansion of phi2 in phi2 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.842 * [backup-simplify]: Simplify (- 0) into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 0 into 0 4.844 * [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 4.845 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.846 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.846 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.846 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 4.848 * [taylor]: Taking taylor expansion of 0 in phi2 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 4.848 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.848 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 4.848 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.848 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.848 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.848 * [taylor]: Taking taylor expansion of phi2 in phi2 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.849 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.849 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.849 * [taylor]: Taking taylor expansion of phi1 in phi2 4.849 * [backup-simplify]: Simplify phi1 into phi1 4.849 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.849 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.849 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.849 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.849 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.849 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.849 * [taylor]: Taking taylor expansion of phi2 in phi1 4.849 * [backup-simplify]: Simplify phi2 into phi2 4.849 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.849 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.849 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.849 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.849 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.849 * [taylor]: Taking taylor expansion of phi1 in phi1 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.849 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.849 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.850 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.850 * [taylor]: Taking taylor expansion of phi2 in phi1 4.850 * [backup-simplify]: Simplify phi2 into phi2 4.850 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.850 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.850 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.850 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.850 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.850 * [taylor]: Taking taylor expansion of phi1 in phi1 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [backup-simplify]: Simplify (/ 1 1) into 1 4.850 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.850 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 4.850 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 4.850 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 4.850 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.850 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.850 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.850 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.850 * [taylor]: Taking taylor expansion of phi2 in phi2 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.851 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.851 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.851 * [taylor]: Taking taylor expansion of phi1 in phi2 4.851 * [backup-simplify]: Simplify phi1 into phi1 4.851 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.851 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.851 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.851 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 4.851 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 4.851 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 4.851 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.851 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.852 * [backup-simplify]: Simplify (+ 0) into 0 4.852 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.853 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 4.853 * [backup-simplify]: Simplify (+ 0 0) into 0 4.853 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.853 * [taylor]: Taking taylor expansion of 0 in phi2 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (+ 0) into 0 4.854 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 4.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.854 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.855 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 4.855 * [backup-simplify]: Simplify (+ 0 0) into 0 4.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.855 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.856 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.857 * [backup-simplify]: Simplify (+ 0 0) into 0 4.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.858 * [taylor]: Taking taylor expansion of 0 in phi2 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.859 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.859 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.859 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.860 * [backup-simplify]: Simplify (+ 0 0) into 0 4.860 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.863 * [backup-simplify]: Simplify (+ 0 0) into 0 4.864 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 4.864 * [taylor]: Taking taylor expansion of 0 in phi2 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 4.864 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.864 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.864 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.864 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.864 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.864 * [taylor]: Taking taylor expansion of -1 in phi2 4.864 * [backup-simplify]: Simplify -1 into -1 4.864 * [taylor]: Taking taylor expansion of phi1 in phi2 4.864 * [backup-simplify]: Simplify phi1 into phi1 4.864 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.865 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.865 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.865 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.865 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.865 * [taylor]: Taking taylor expansion of -1 in phi2 4.865 * [backup-simplify]: Simplify -1 into -1 4.865 * [taylor]: Taking taylor expansion of phi2 in phi2 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (/ -1 1) into -1 4.865 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.865 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.865 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.866 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.866 * [taylor]: Taking taylor expansion of -1 in phi1 4.866 * [backup-simplify]: Simplify -1 into -1 4.866 * [taylor]: Taking taylor expansion of phi1 in phi1 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 1 into 1 4.866 * [backup-simplify]: Simplify (/ -1 1) into -1 4.866 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.866 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.866 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.866 * [taylor]: Taking taylor expansion of -1 in phi1 4.866 * [backup-simplify]: Simplify -1 into -1 4.866 * [taylor]: Taking taylor expansion of phi2 in phi1 4.866 * [backup-simplify]: Simplify phi2 into phi2 4.866 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.866 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.867 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.867 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.867 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.867 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.867 * [taylor]: Taking taylor expansion of -1 in phi1 4.867 * [backup-simplify]: Simplify -1 into -1 4.867 * [taylor]: Taking taylor expansion of phi1 in phi1 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.867 * [backup-simplify]: Simplify (/ -1 1) into -1 4.867 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.867 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.867 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.867 * [taylor]: Taking taylor expansion of -1 in phi1 4.867 * [backup-simplify]: Simplify -1 into -1 4.867 * [taylor]: Taking taylor expansion of phi2 in phi1 4.868 * [backup-simplify]: Simplify phi2 into phi2 4.868 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.868 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.868 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.868 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 4.868 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 4.868 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 4.868 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.868 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.868 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.868 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.868 * [taylor]: Taking taylor expansion of -1 in phi2 4.868 * [backup-simplify]: Simplify -1 into -1 4.868 * [taylor]: Taking taylor expansion of phi1 in phi2 4.869 * [backup-simplify]: Simplify phi1 into phi1 4.869 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.869 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.869 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.869 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.869 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.869 * [taylor]: Taking taylor expansion of -1 in phi2 4.869 * [backup-simplify]: Simplify -1 into -1 4.869 * [taylor]: Taking taylor expansion of phi2 in phi2 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [backup-simplify]: Simplify (/ -1 1) into -1 4.869 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.870 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 4.870 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 4.870 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 4.870 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.870 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.871 * [backup-simplify]: Simplify (+ 0) into 0 4.871 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 4.871 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.873 * [taylor]: Taking taylor expansion of 0 in phi2 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (+ 0) into 0 4.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 4.874 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 4.876 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.878 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.878 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.879 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.880 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.880 * [taylor]: Taking taylor expansion of 0 in phi2 4.880 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.882 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.883 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.884 * [backup-simplify]: Simplify (+ 0 0) into 0 4.885 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.889 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.889 * [backup-simplify]: Simplify (+ 0 0) into 0 4.890 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 4.890 * [taylor]: Taking taylor expansion of 0 in phi2 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 4.891 * * * [progress]: simplifying candidates 4.892 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 4.893 * * [simplify]: iteration 0: 134 enodes 4.917 * * [simplify]: iteration 1: 277 enodes 5.009 * * [simplify]: iteration 2: 626 enodes 5.327 * * [simplify]: iteration 3: 1479 enodes 6.430 * * [simplify]: iteration 4: 3015 enodes 7.806 * * [simplify]: iteration complete: 5002 enodes 7.806 * * [simplify]: Extracting #0: cost 51 inf + 0 7.807 * * [simplify]: Extracting #1: cost 333 inf + 0 7.812 * * [simplify]: Extracting #2: cost 836 inf + 583 7.820 * * [simplify]: Extracting #3: cost 903 inf + 20221 7.850 * * [simplify]: Extracting #4: cost 661 inf + 120005 7.886 * * [simplify]: Extracting #5: cost 454 inf + 182024 7.962 * * [simplify]: Extracting #6: cost 220 inf + 381323 8.058 * * [simplify]: Extracting #7: cost 21 inf + 593602 8.189 * * [simplify]: Extracting #8: cost 0 inf + 616034 8.372 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (sin lambda2) (sin lambda1)) (log (* (sin lambda2) (sin lambda1))) (log (* (sin lambda2) (sin lambda1))) (exp (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))) (cbrt (* (sin lambda2) (sin lambda1))) (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (sqrt (* (sin lambda2) (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sqrt (sin lambda2)) (sin lambda1)) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda2) (sin lambda1)) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (sqrt R)) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (* R (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* R (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi2) (sin phi1)) (log (* (sin phi2) (sin phi1))) (log (* (sin phi2) (sin phi1))) (exp (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (* (cbrt (* (sin phi2) (sin phi1))) (cbrt (* (sin phi2) (sin phi1)))) (cbrt (* (sin phi2) (sin phi1))) (* (* (sin phi2) (sin phi1)) (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)))) (sqrt (* (sin phi2) (sin phi1))) (sqrt (* (sin phi2) (sin phi1))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi2) (sin phi1)) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))))) (* lambda1 lambda2) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2))))))) (* phi1 phi2) (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1)) 8.388 * * * [progress]: adding candidates to table 9.144 * * [progress]: iteration 3 / 4 9.145 * * * [progress]: picking best candidate 9.343 * * * * [pick]: Picked # 9.343 * * * [progress]: localizing error 9.463 * * * [progress]: generating rewritten candidates 9.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 9.466 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 9.468 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.473 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 9.505 * * * [progress]: generating series expansions 9.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 9.506 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.506 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.506 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.507 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.507 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.507 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.507 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.508 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.508 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.509 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.509 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.510 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.511 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.511 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.512 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.513 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.513 * [taylor]: Taking taylor expansion of 0 in phi2 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda1 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda2 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda1 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda2 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda2 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in phi2 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda1 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [taylor]: Taking taylor expansion of 0 in lambda2 9.513 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [taylor]: Taking taylor expansion of 0 in lambda1 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [taylor]: Taking taylor expansion of 0 in lambda2 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.516 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.516 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.516 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.517 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.517 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.518 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.518 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.519 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.519 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.520 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.520 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.521 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.521 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.523 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.523 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.524 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.524 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.525 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.526 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.526 * [taylor]: Taking taylor expansion of 0 in phi2 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [taylor]: Taking taylor expansion of 0 in lambda1 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [taylor]: Taking taylor expansion of 0 in lambda2 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [taylor]: Taking taylor expansion of 0 in lambda1 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [taylor]: Taking taylor expansion of 0 in lambda2 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [taylor]: Taking taylor expansion of 0 in lambda2 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.527 * [taylor]: Taking taylor expansion of 0 in phi2 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [taylor]: Taking taylor expansion of 0 in lambda1 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [taylor]: Taking taylor expansion of 0 in lambda2 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [taylor]: Taking taylor expansion of 0 in lambda1 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [taylor]: Taking taylor expansion of 0 in lambda2 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 9.529 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.529 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.530 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.532 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.532 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 9.533 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.533 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.534 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.534 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.535 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.535 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 9.537 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.538 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 9.539 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.540 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.540 * [taylor]: Taking taylor expansion of 0 in phi2 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [taylor]: Taking taylor expansion of 0 in lambda1 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [taylor]: Taking taylor expansion of 0 in lambda2 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [taylor]: Taking taylor expansion of 0 in lambda1 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in lambda2 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in lambda2 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in phi2 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in lambda1 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in lambda2 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in lambda1 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [taylor]: Taking taylor expansion of 0 in lambda2 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 0 into 0 9.543 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.543 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 9.544 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.544 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 9.544 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 9.544 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.544 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.545 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.546 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 9.546 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.546 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.547 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.547 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 9.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.548 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.549 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.549 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 9.549 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.550 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.551 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.551 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 9.551 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.552 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.552 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.553 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 9.553 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.553 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.554 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.554 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 9.554 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.555 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.555 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.555 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 9.555 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.556 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.556 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.557 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 9.558 * [taylor]: Taking taylor expansion of 0 in phi2 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [taylor]: Taking taylor expansion of 0 in lambda1 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [taylor]: Taking taylor expansion of 0 in lambda2 9.558 * [backup-simplify]: Simplify 0 into 0 9.558 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 9.559 * [taylor]: Taking taylor expansion of 0 in lambda1 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [taylor]: Taking taylor expansion of 0 in lambda2 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 9.560 * [taylor]: Taking taylor expansion of 0 in lambda2 9.560 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 9.562 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 2) into 0 9.564 * [taylor]: Taking taylor expansion of 0 in phi2 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [taylor]: Taking taylor expansion of 0 in lambda1 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [taylor]: Taking taylor expansion of 0 in lambda2 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [taylor]: Taking taylor expansion of 0 in lambda1 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [taylor]: Taking taylor expansion of 0 in lambda2 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.565 * [backup-simplify]: Simplify (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.565 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.565 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 9.565 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.566 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.566 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.566 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 9.566 * [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 lambda1 9.567 * [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)))))))) 9.568 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.568 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 9.568 * [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 9.568 * [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)))))))) 9.569 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.569 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 9.569 * [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 9.569 * [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)))))))) 9.570 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.570 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 9.570 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.570 * [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)))))))) 9.571 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.571 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 9.571 * [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 phi2 9.571 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.572 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.572 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 9.572 * [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 lambda1 9.573 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.573 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.573 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 9.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.574 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.574 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.575 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 9.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 9.576 * [taylor]: Taking taylor expansion of 0 in phi2 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [taylor]: Taking taylor expansion of 0 in lambda1 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [taylor]: Taking taylor expansion of 0 in lambda2 9.576 * [backup-simplify]: Simplify 0 into 0 9.576 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 9.578 * [taylor]: Taking taylor expansion of 0 in lambda1 9.578 * [backup-simplify]: Simplify 0 into 0 9.578 * [taylor]: Taking taylor expansion of 0 in lambda2 9.578 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 9.579 * [taylor]: Taking taylor expansion of 0 in lambda2 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 1) into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1)))) 2) into 0 9.583 * [taylor]: Taking taylor expansion of 0 in phi2 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [taylor]: Taking taylor expansion of 0 in lambda1 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [taylor]: Taking taylor expansion of 0 in lambda2 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [taylor]: Taking taylor expansion of 0 in lambda1 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [taylor]: Taking taylor expansion of 0 in lambda2 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify 0 into 0 9.584 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 9.584 * [backup-simplify]: Simplify (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.584 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.584 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 9.584 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.585 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.585 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.585 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 9.585 * [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 lambda1 9.586 * [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)))))))) 9.586 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.586 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 9.586 * [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 phi2 9.587 * [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)))))))) 9.588 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.588 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 9.588 * [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 9.589 * [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)))))))) 9.591 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.591 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 9.591 * [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 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.592 * [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 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.593 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.593 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 9.593 * [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 phi2)) (cos (/ -1 lambda2)))))))) in phi2 9.594 * [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 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.595 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.595 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 9.595 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.597 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.598 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.598 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 9.598 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.599 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.600 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.601 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 9.603 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0 9.604 * [taylor]: Taking taylor expansion of 0 in phi2 9.604 * [backup-simplify]: Simplify 0 into 0 9.604 * [taylor]: Taking taylor expansion of 0 in lambda1 9.604 * [backup-simplify]: Simplify 0 into 0 9.604 * [taylor]: Taking taylor expansion of 0 in lambda2 9.604 * [backup-simplify]: Simplify 0 into 0 9.604 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0 9.606 * [taylor]: Taking taylor expansion of 0 in lambda1 9.606 * [backup-simplify]: Simplify 0 into 0 9.606 * [taylor]: Taking taylor expansion of 0 in lambda2 9.606 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0 9.608 * [taylor]: Taking taylor expansion of 0 in lambda2 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 1) into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1)))) 2) into 0 9.615 * [taylor]: Taking taylor expansion of 0 in phi2 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [taylor]: Taking taylor expansion of 0 in lambda1 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [taylor]: Taking taylor expansion of 0 in lambda2 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [backup-simplify]: Simplify 0 into 0 9.615 * [taylor]: Taking taylor expansion of 0 in lambda1 9.616 * [backup-simplify]: Simplify 0 into 0 9.616 * [taylor]: Taking taylor expansion of 0 in lambda2 9.616 * [backup-simplify]: Simplify 0 into 0 9.616 * [backup-simplify]: Simplify 0 into 0 9.617 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.617 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.618 * [backup-simplify]: Simplify (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.618 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.618 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.619 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.619 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.620 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.620 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.621 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.621 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.622 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.623 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.623 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.624 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.625 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.626 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.626 * [taylor]: Taking taylor expansion of 0 in phi2 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [taylor]: Taking taylor expansion of 0 in lambda1 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [taylor]: Taking taylor expansion of 0 in lambda2 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [taylor]: Taking taylor expansion of 0 in lambda1 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [taylor]: Taking taylor expansion of 0 in lambda2 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [taylor]: Taking taylor expansion of 0 in lambda2 9.626 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [taylor]: Taking taylor expansion of 0 in phi2 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [taylor]: Taking taylor expansion of 0 in lambda1 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [taylor]: Taking taylor expansion of 0 in lambda2 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [taylor]: Taking taylor expansion of 0 in lambda1 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [taylor]: Taking taylor expansion of 0 in lambda2 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.629 * [backup-simplify]: Simplify (exp (log (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.629 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.630 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.630 * [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)))))))) in lambda1 9.637 * [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)))))))) 9.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.638 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.638 * [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 9.639 * [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)))))))) 9.640 * [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 phi1 9.641 * [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)))))))) 9.641 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.642 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.642 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.643 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.643 * [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 lambda2 9.644 * [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)))))))) 9.645 * [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)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.645 * [taylor]: Taking taylor expansion of 0 in phi2 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in phi2 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [backup-simplify]: Simplify 0 into 0 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [taylor]: Taking taylor expansion of 0 in lambda1 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [taylor]: Taking taylor expansion of 0 in lambda2 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 0 into 0 9.647 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 9.648 * [backup-simplify]: Simplify (exp (log (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.648 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.649 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.650 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.650 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.651 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.651 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 9.652 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.652 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.653 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.653 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.654 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 9.655 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.655 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.656 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.656 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 9.657 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.658 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.659 * [taylor]: Taking taylor expansion of 0 in phi2 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda1 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda1 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in phi2 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda1 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda1 9.659 * [backup-simplify]: Simplify 0 into 0 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.661 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2 2) 9.661 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 9.661 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 9.661 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 9.661 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 9.661 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.661 * [backup-simplify]: Simplify lambda1 into lambda1 9.662 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 9.662 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 9.662 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.662 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 1 into 1 9.662 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.662 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.662 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 1 into 1 9.662 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.662 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.662 * [backup-simplify]: Simplify lambda2 into lambda2 9.662 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.662 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.662 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.662 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.662 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 1 into 1 9.662 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.662 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.662 * [backup-simplify]: Simplify lambda2 into lambda2 9.662 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.662 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.663 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 9.663 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 9.663 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 9.663 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 9.663 * [taylor]: Taking taylor expansion of 0 in lambda2 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify (+ 0) into 0 9.664 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 9.665 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.665 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 9.666 * [backup-simplify]: Simplify (+ 0 0) into 0 9.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 9.667 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.667 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify 1 into 1 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.668 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.669 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 9.670 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.670 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 9.671 * [backup-simplify]: Simplify (+ 0 0) into 0 9.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 9.672 * [taylor]: Taking taylor expansion of 0 in lambda2 9.672 * [backup-simplify]: Simplify 0 into 0 9.672 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.673 * [backup-simplify]: Simplify 1 into 1 9.673 * [backup-simplify]: Simplify 0 into 0 9.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.675 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.677 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.677 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.678 * [backup-simplify]: Simplify (+ 0 0) into 0 9.679 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 9.681 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 9.681 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 9.681 * [taylor]: Taking taylor expansion of 1/6 in lambda2 9.681 * [backup-simplify]: Simplify 1/6 into 1/6 9.681 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.681 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (* 1/6 0) into 0 9.682 * [backup-simplify]: Simplify (- 0) into 0 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify 0 into 0 9.682 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.683 * [backup-simplify]: Simplify 0 into 0 9.683 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 9.686 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.688 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.688 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 9.689 * [backup-simplify]: Simplify (+ 0 0) into 0 9.690 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 9.692 * [taylor]: Taking taylor expansion of 0 in lambda2 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 9.692 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.692 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 9.692 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 9.692 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.692 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.693 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.693 * [backup-simplify]: Simplify 0 into 0 9.693 * [backup-simplify]: Simplify 1 into 1 9.693 * [backup-simplify]: Simplify (/ 1 1) into 1 9.693 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.693 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.693 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.693 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.693 * [backup-simplify]: Simplify lambda1 into lambda1 9.693 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.693 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.693 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.693 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 9.693 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.694 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.694 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.694 * [backup-simplify]: Simplify lambda2 into lambda2 9.694 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.694 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.694 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.694 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.694 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.694 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.694 * [backup-simplify]: Simplify 0 into 0 9.694 * [backup-simplify]: Simplify 1 into 1 9.694 * [backup-simplify]: Simplify (/ 1 1) into 1 9.694 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.694 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 9.694 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.694 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.695 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.695 * [backup-simplify]: Simplify lambda2 into lambda2 9.695 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.695 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.695 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.695 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.695 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.695 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.695 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify 1 into 1 9.695 * [backup-simplify]: Simplify (/ 1 1) into 1 9.695 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.696 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.696 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.696 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.696 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.696 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 9.696 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.696 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.696 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.696 * [backup-simplify]: Simplify 0 into 0 9.696 * [backup-simplify]: Simplify 1 into 1 9.697 * [backup-simplify]: Simplify (/ 1 1) into 1 9.697 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.697 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.697 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.697 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.697 * [backup-simplify]: Simplify lambda1 into lambda1 9.697 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.697 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.697 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.698 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.698 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.698 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.698 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.698 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.699 * [backup-simplify]: Simplify (+ 0) into 0 9.699 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 9.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 9.700 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.701 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 9.702 * [backup-simplify]: Simplify (+ 0 0) into 0 9.702 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 9.702 * [taylor]: Taking taylor expansion of 0 in lambda2 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify (+ 0) into 0 9.703 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 9.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 9.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.704 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 9.705 * [backup-simplify]: Simplify (+ 0 0) into 0 9.705 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 9.705 * [backup-simplify]: Simplify 0 into 0 9.706 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.707 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.708 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.708 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.709 * [backup-simplify]: Simplify (+ 0 0) into 0 9.709 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 9.709 * [taylor]: Taking taylor expansion of 0 in lambda2 9.709 * [backup-simplify]: Simplify 0 into 0 9.709 * [backup-simplify]: Simplify 0 into 0 9.709 * [backup-simplify]: Simplify 0 into 0 9.710 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.711 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 9.712 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.713 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.713 * [backup-simplify]: Simplify (+ 0 0) into 0 9.714 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 9.714 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.716 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.719 * [backup-simplify]: Simplify (+ 0 0) into 0 9.720 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 9.720 * [taylor]: Taking taylor expansion of 0 in lambda2 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 9.720 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.720 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 9.720 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 9.720 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.720 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.720 * [taylor]: Taking taylor expansion of -1 in lambda2 9.720 * [backup-simplify]: Simplify -1 into -1 9.720 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.720 * [backup-simplify]: Simplify lambda1 into lambda1 9.721 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.721 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.721 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.721 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.721 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.721 * [taylor]: Taking taylor expansion of -1 in lambda2 9.721 * [backup-simplify]: Simplify -1 into -1 9.721 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.721 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify 1 into 1 9.721 * [backup-simplify]: Simplify (/ -1 1) into -1 9.721 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.721 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 9.722 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.722 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.722 * [taylor]: Taking taylor expansion of -1 in lambda1 9.722 * [backup-simplify]: Simplify -1 into -1 9.722 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify 1 into 1 9.722 * [backup-simplify]: Simplify (/ -1 1) into -1 9.722 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.722 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.722 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.722 * [taylor]: Taking taylor expansion of -1 in lambda1 9.722 * [backup-simplify]: Simplify -1 into -1 9.722 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.722 * [backup-simplify]: Simplify lambda2 into lambda2 9.723 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.723 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.723 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.723 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 9.723 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.723 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.723 * [taylor]: Taking taylor expansion of -1 in lambda1 9.723 * [backup-simplify]: Simplify -1 into -1 9.723 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.723 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify 1 into 1 9.723 * [backup-simplify]: Simplify (/ -1 1) into -1 9.723 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.723 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.724 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.724 * [taylor]: Taking taylor expansion of -1 in lambda1 9.724 * [backup-simplify]: Simplify -1 into -1 9.724 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.724 * [backup-simplify]: Simplify lambda2 into lambda2 9.724 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.724 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.724 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.724 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.724 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.724 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.724 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.725 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 9.725 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.725 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.725 * [taylor]: Taking taylor expansion of -1 in lambda2 9.725 * [backup-simplify]: Simplify -1 into -1 9.725 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.725 * [backup-simplify]: Simplify lambda1 into lambda1 9.725 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.725 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.725 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.725 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.725 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.725 * [taylor]: Taking taylor expansion of -1 in lambda2 9.725 * [backup-simplify]: Simplify -1 into -1 9.725 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.725 * [backup-simplify]: Simplify 0 into 0 9.725 * [backup-simplify]: Simplify 1 into 1 9.726 * [backup-simplify]: Simplify (/ -1 1) into -1 9.726 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.726 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.726 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.726 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.726 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.726 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.727 * [backup-simplify]: Simplify (+ 0) into 0 9.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 9.728 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 9.728 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 9.729 * [backup-simplify]: Simplify (+ 0 0) into 0 9.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.730 * [taylor]: Taking taylor expansion of 0 in lambda2 9.730 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify 0 into 0 9.730 * [backup-simplify]: Simplify (+ 0) into 0 9.731 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 9.731 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 9.732 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.732 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 9.732 * [backup-simplify]: Simplify (+ 0 0) into 0 9.733 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.733 * [backup-simplify]: Simplify 0 into 0 9.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.734 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.735 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.735 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.736 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.736 * [backup-simplify]: Simplify (+ 0 0) into 0 9.737 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.737 * [taylor]: Taking taylor expansion of 0 in lambda2 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 0 into 0 9.738 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.739 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.739 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 9.740 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.741 * [backup-simplify]: Simplify (+ 0 0) into 0 9.741 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.742 * [backup-simplify]: Simplify 0 into 0 9.742 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.743 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.745 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.746 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.746 * [backup-simplify]: Simplify (+ 0 0) into 0 9.747 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 9.747 * [taylor]: Taking taylor expansion of 0 in lambda2 9.747 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify 0 into 0 9.748 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 9.748 * * * [progress]: simplifying candidates 9.750 * [simplify]: Simplifying: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log 1) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp 1) (exp (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log 1)) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) 9.752 * * [simplify]: iteration 0: 104 enodes 9.776 * * [simplify]: iteration 1: 195 enodes 9.827 * * [simplify]: iteration 2: 397 enodes 9.958 * * [simplify]: iteration 3: 889 enodes 10.380 * * [simplify]: iteration 4: 1609 enodes 10.894 * * [simplify]: iteration 5: 2677 enodes 12.359 * * [simplify]: iteration 6: 4462 enodes 12.863 * * [simplify]: iteration complete: 5003 enodes 12.863 * * [simplify]: Extracting #0: cost 37 inf + 0 12.864 * * [simplify]: Extracting #1: cost 198 inf + 3 12.865 * * [simplify]: Extracting #2: cost 461 inf + 1554 12.872 * * [simplify]: Extracting #3: cost 509 inf + 18042 12.886 * * [simplify]: Extracting #4: cost 293 inf + 85166 12.903 * * [simplify]: Extracting #5: cost 199 inf + 125396 12.939 * * [simplify]: Extracting #6: cost 156 inf + 151552 12.970 * * [simplify]: Extracting #7: cost 97 inf + 219144 13.023 * * [simplify]: Extracting #8: cost 32 inf + 296179 13.133 * * [simplify]: Extracting #9: cost 3 inf + 340156 13.216 * * [simplify]: Extracting #10: cost 0 inf + 336852 13.282 * * [simplify]: Extracting #11: cost 0 inf + 335692 13.375 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) (log (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (log (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (log (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 0 (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (cbrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) (cbrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (* (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) (sqrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (sqrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) E (exp (* (cbrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) (exp (sqrt (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))))) E (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) 1 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (sin lambda1)) (* (sqrt (sin lambda2)) (sin lambda1)) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 13.393 * * * [progress]: adding candidates to table 14.009 * * [progress]: iteration 4 / 4 14.009 * * * [progress]: picking best candidate 14.230 * * * * [pick]: Picked # 14.230 * * * [progress]: localizing error 14.367 * * * [progress]: generating rewritten candidates 14.368 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 14.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 14.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 1) 14.395 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 14.408 * * * [progress]: generating series expansions 14.408 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 14.409 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 14.409 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 14.409 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 14.409 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 14.409 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.409 * [backup-simplify]: Simplify lambda1 into lambda1 14.409 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 14.409 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 14.409 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 14.409 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.409 * [backup-simplify]: Simplify 0 into 0 14.409 * [backup-simplify]: Simplify 1 into 1 14.409 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 14.409 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 14.409 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.409 * [backup-simplify]: Simplify 0 into 0 14.409 * [backup-simplify]: Simplify 1 into 1 14.409 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 14.409 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.409 * [backup-simplify]: Simplify lambda2 into lambda2 14.409 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 14.409 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 14.409 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 14.409 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 14.409 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.409 * [backup-simplify]: Simplify 0 into 0 14.409 * [backup-simplify]: Simplify 1 into 1 14.409 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 14.409 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.410 * [backup-simplify]: Simplify lambda2 into lambda2 14.410 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 14.410 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 14.410 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 14.410 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 14.410 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 14.410 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 14.410 * [taylor]: Taking taylor expansion of 0 in lambda2 14.410 * [backup-simplify]: Simplify 0 into 0 14.410 * [backup-simplify]: Simplify 0 into 0 14.411 * [backup-simplify]: Simplify (+ 0) into 0 14.411 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 14.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.413 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 14.413 * [backup-simplify]: Simplify (+ 0 0) into 0 14.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 14.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 14.414 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 14.414 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.414 * [backup-simplify]: Simplify 0 into 0 14.414 * [backup-simplify]: Simplify 1 into 1 14.414 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.416 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 14.417 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.418 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 14.418 * [backup-simplify]: Simplify (+ 0 0) into 0 14.419 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 14.420 * [taylor]: Taking taylor expansion of 0 in lambda2 14.420 * [backup-simplify]: Simplify 0 into 0 14.420 * [backup-simplify]: Simplify 0 into 0 14.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 14.421 * [backup-simplify]: Simplify 1 into 1 14.421 * [backup-simplify]: Simplify 0 into 0 14.422 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.423 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.425 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.425 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.426 * [backup-simplify]: Simplify (+ 0 0) into 0 14.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 14.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 14.429 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 14.429 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 14.429 * [taylor]: Taking taylor expansion of 1/6 in lambda2 14.429 * [backup-simplify]: Simplify 1/6 into 1/6 14.429 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 14.429 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify 1 into 1 14.429 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.430 * [backup-simplify]: Simplify (- 0) into 0 14.430 * [backup-simplify]: Simplify 0 into 0 14.430 * [backup-simplify]: Simplify 0 into 0 14.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.431 * [backup-simplify]: Simplify 0 into 0 14.431 * [backup-simplify]: Simplify 0 into 0 14.433 * [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 14.434 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.436 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.436 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 14.437 * [backup-simplify]: Simplify (+ 0 0) into 0 14.438 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 14.440 * [taylor]: Taking taylor expansion of 0 in lambda2 14.440 * [backup-simplify]: Simplify 0 into 0 14.440 * [backup-simplify]: Simplify 0 into 0 14.440 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 14.440 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.440 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 14.440 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 14.440 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 14.440 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 14.440 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.441 * [backup-simplify]: Simplify 0 into 0 14.441 * [backup-simplify]: Simplify 1 into 1 14.441 * [backup-simplify]: Simplify (/ 1 1) into 1 14.441 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.441 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 14.441 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 14.441 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.441 * [backup-simplify]: Simplify lambda1 into lambda1 14.441 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 14.441 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.441 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 14.441 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 14.441 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 14.441 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 14.441 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.441 * [backup-simplify]: Simplify lambda2 into lambda2 14.441 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 14.442 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.442 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 14.442 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 14.442 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 14.442 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.442 * [backup-simplify]: Simplify 0 into 0 14.442 * [backup-simplify]: Simplify 1 into 1 14.442 * [backup-simplify]: Simplify (/ 1 1) into 1 14.442 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.442 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 14.442 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 14.442 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 14.442 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.442 * [backup-simplify]: Simplify lambda2 into lambda2 14.442 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 14.442 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.443 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 14.443 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 14.443 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 14.443 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.443 * [backup-simplify]: Simplify 0 into 0 14.443 * [backup-simplify]: Simplify 1 into 1 14.443 * [backup-simplify]: Simplify (/ 1 1) into 1 14.443 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.443 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 14.443 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 14.443 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 14.444 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.444 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 14.444 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 14.444 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 14.444 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.444 * [backup-simplify]: Simplify 0 into 0 14.444 * [backup-simplify]: Simplify 1 into 1 14.444 * [backup-simplify]: Simplify (/ 1 1) into 1 14.444 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.444 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 14.444 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 14.444 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.444 * [backup-simplify]: Simplify lambda1 into lambda1 14.444 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 14.444 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.445 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 14.445 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 14.445 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 14.445 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 14.445 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.445 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.446 * [backup-simplify]: Simplify (+ 0) into 0 14.446 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 14.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 14.447 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.448 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 14.448 * [backup-simplify]: Simplify (+ 0 0) into 0 14.448 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 14.448 * [taylor]: Taking taylor expansion of 0 in lambda2 14.448 * [backup-simplify]: Simplify 0 into 0 14.448 * [backup-simplify]: Simplify 0 into 0 14.449 * [backup-simplify]: Simplify (+ 0) into 0 14.449 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 14.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 14.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 14.451 * [backup-simplify]: Simplify (+ 0 0) into 0 14.451 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 14.451 * [backup-simplify]: Simplify 0 into 0 14.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.453 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 14.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.454 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 14.455 * [backup-simplify]: Simplify (+ 0 0) into 0 14.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 14.455 * [taylor]: Taking taylor expansion of 0 in lambda2 14.455 * [backup-simplify]: Simplify 0 into 0 14.455 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify 0 into 0 14.456 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.457 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 14.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 14.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 14.459 * [backup-simplify]: Simplify (+ 0 0) into 0 14.460 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 14.460 * [backup-simplify]: Simplify 0 into 0 14.461 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.462 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.465 * [backup-simplify]: Simplify (+ 0 0) into 0 14.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 14.466 * [taylor]: Taking taylor expansion of 0 in lambda2 14.466 * [backup-simplify]: Simplify 0 into 0 14.466 * [backup-simplify]: Simplify 0 into 0 14.466 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 14.467 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.467 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 14.467 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 14.467 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 14.467 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 14.467 * [taylor]: Taking taylor expansion of -1 in lambda2 14.467 * [backup-simplify]: Simplify -1 into -1 14.467 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.467 * [backup-simplify]: Simplify lambda1 into lambda1 14.467 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 14.467 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.467 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 14.467 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 14.467 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 14.467 * [taylor]: Taking taylor expansion of -1 in lambda2 14.467 * [backup-simplify]: Simplify -1 into -1 14.467 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.467 * [backup-simplify]: Simplify 0 into 0 14.467 * [backup-simplify]: Simplify 1 into 1 14.468 * [backup-simplify]: Simplify (/ -1 1) into -1 14.468 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 14.468 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 14.468 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 14.468 * [taylor]: Taking taylor expansion of -1 in lambda1 14.468 * [backup-simplify]: Simplify -1 into -1 14.468 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 1 into 1 14.469 * [backup-simplify]: Simplify (/ -1 1) into -1 14.469 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.469 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 14.469 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 14.469 * [taylor]: Taking taylor expansion of -1 in lambda1 14.469 * [backup-simplify]: Simplify -1 into -1 14.469 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.469 * [backup-simplify]: Simplify lambda2 into lambda2 14.469 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 14.469 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.469 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 14.469 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 14.469 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 14.469 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 14.469 * [taylor]: Taking taylor expansion of -1 in lambda1 14.469 * [backup-simplify]: Simplify -1 into -1 14.469 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.469 * [backup-simplify]: Simplify 0 into 0 14.469 * [backup-simplify]: Simplify 1 into 1 14.470 * [backup-simplify]: Simplify (/ -1 1) into -1 14.470 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.470 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 14.470 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 14.470 * [taylor]: Taking taylor expansion of -1 in lambda1 14.470 * [backup-simplify]: Simplify -1 into -1 14.470 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.470 * [backup-simplify]: Simplify lambda2 into lambda2 14.470 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 14.470 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.470 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 14.471 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 14.471 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 14.471 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 14.471 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.471 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 14.471 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 14.471 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 14.471 * [taylor]: Taking taylor expansion of -1 in lambda2 14.471 * [backup-simplify]: Simplify -1 into -1 14.471 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.471 * [backup-simplify]: Simplify lambda1 into lambda1 14.471 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 14.471 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.472 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 14.472 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 14.472 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 14.472 * [taylor]: Taking taylor expansion of -1 in lambda2 14.472 * [backup-simplify]: Simplify -1 into -1 14.472 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.472 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify 1 into 1 14.472 * [backup-simplify]: Simplify (/ -1 1) into -1 14.472 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.472 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 14.473 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 14.473 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 14.473 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.473 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.473 * [backup-simplify]: Simplify (+ 0) into 0 14.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 14.474 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 14.475 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 14.476 * [backup-simplify]: Simplify (+ 0 0) into 0 14.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 14.476 * [taylor]: Taking taylor expansion of 0 in lambda2 14.476 * [backup-simplify]: Simplify 0 into 0 14.476 * [backup-simplify]: Simplify 0 into 0 14.477 * [backup-simplify]: Simplify (+ 0) into 0 14.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 14.478 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 14.478 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.479 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 14.479 * [backup-simplify]: Simplify (+ 0 0) into 0 14.479 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 14.480 * [backup-simplify]: Simplify 0 into 0 14.480 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.485 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 14.486 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.487 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 14.488 * [backup-simplify]: Simplify (+ 0 0) into 0 14.488 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 14.488 * [taylor]: Taking taylor expansion of 0 in lambda2 14.488 * [backup-simplify]: Simplify 0 into 0 14.488 * [backup-simplify]: Simplify 0 into 0 14.489 * [backup-simplify]: Simplify 0 into 0 14.489 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.490 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 14.491 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 14.491 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.492 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 14.492 * [backup-simplify]: Simplify (+ 0 0) into 0 14.493 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 14.493 * [backup-simplify]: Simplify 0 into 0 14.494 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.496 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.499 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.500 * [backup-simplify]: Simplify (+ 0 0) into 0 14.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 14.501 * [taylor]: Taking taylor expansion of 0 in lambda2 14.501 * [backup-simplify]: Simplify 0 into 0 14.501 * [backup-simplify]: Simplify 0 into 0 14.501 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 14.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 14.503 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.503 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 14.503 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 14.503 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 14.504 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 14.505 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.505 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 14.506 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.506 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 14.507 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.507 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 14.508 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.508 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 14.509 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.509 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 14.510 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.510 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.510 * [taylor]: Taking taylor expansion of 0 in phi2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda1 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda1 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in phi2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda1 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda1 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [taylor]: Taking taylor expansion of 0 in lambda2 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.512 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.512 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.512 * [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 14.512 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 14.513 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 14.513 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 14.514 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 14.514 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 14.515 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 14.515 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 14.516 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.516 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 14.517 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.517 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 14.517 * [taylor]: Taking taylor expansion of 0 in phi2 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda1 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda2 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda1 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda2 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda2 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in phi2 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda1 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [taylor]: Taking taylor expansion of 0 in lambda2 14.517 * [backup-simplify]: Simplify 0 into 0 14.517 * [backup-simplify]: Simplify 0 into 0 14.518 * [taylor]: Taking taylor expansion of 0 in lambda1 14.518 * [backup-simplify]: Simplify 0 into 0 14.518 * [taylor]: Taking taylor expansion of 0 in lambda2 14.518 * [backup-simplify]: Simplify 0 into 0 14.518 * [backup-simplify]: Simplify 0 into 0 14.518 * [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))))) 14.519 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 14.519 * [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 14.519 * [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 14.519 * [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)))))))) 14.519 * [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 14.520 * [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)))))))) 14.520 * [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 14.520 * [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)))))))) 14.520 * [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 14.521 * [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)))))))) 14.521 * [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 14.521 * [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)))))))) 14.522 * [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 14.522 * [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)))))))) 14.522 * [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 14.523 * [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)))))))) 14.523 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 14.523 * [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)))))))) 14.524 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 14.524 * [taylor]: Taking taylor expansion of 0 in phi2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda1 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda1 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in phi2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda1 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda1 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [taylor]: Taking taylor expansion of 0 in lambda2 14.524 * [backup-simplify]: Simplify 0 into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.525 * [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))))) 14.525 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 1) 14.525 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 14.525 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 14.525 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 14.525 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 14.525 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.525 * [backup-simplify]: Simplify lambda1 into lambda1 14.525 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 14.525 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 14.525 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 14.525 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.525 * [backup-simplify]: Simplify 0 into 0 14.525 * [backup-simplify]: Simplify 1 into 1 14.525 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 14.525 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 14.525 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.525 * [backup-simplify]: Simplify 0 into 0 14.525 * [backup-simplify]: Simplify 1 into 1 14.525 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 14.525 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.525 * [backup-simplify]: Simplify lambda2 into lambda2 14.525 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 14.526 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 14.526 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 14.526 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 14.526 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.526 * [backup-simplify]: Simplify 0 into 0 14.526 * [backup-simplify]: Simplify 1 into 1 14.526 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 14.526 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.526 * [backup-simplify]: Simplify lambda2 into lambda2 14.526 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 14.526 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 14.526 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 14.526 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 14.526 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 14.526 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 14.526 * [taylor]: Taking taylor expansion of 0 in lambda2 14.526 * [backup-simplify]: Simplify 0 into 0 14.526 * [backup-simplify]: Simplify 0 into 0 14.526 * [backup-simplify]: Simplify (+ 0) into 0 14.527 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 14.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.528 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 14.528 * [backup-simplify]: Simplify (+ 0 0) into 0 14.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 14.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 14.529 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 14.529 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.529 * [backup-simplify]: Simplify 0 into 0 14.529 * [backup-simplify]: Simplify 1 into 1 14.529 * [backup-simplify]: Simplify 0 into 0 14.529 * [backup-simplify]: Simplify 0 into 0 14.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.530 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 14.530 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.530 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 14.531 * [backup-simplify]: Simplify (+ 0 0) into 0 14.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 14.532 * [taylor]: Taking taylor expansion of 0 in lambda2 14.532 * [backup-simplify]: Simplify 0 into 0 14.532 * [backup-simplify]: Simplify 0 into 0 14.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 14.532 * [backup-simplify]: Simplify 1 into 1 14.532 * [backup-simplify]: Simplify 0 into 0 14.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.533 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.535 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.535 * [backup-simplify]: Simplify (+ 0 0) into 0 14.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 14.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 14.536 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 14.537 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 14.537 * [taylor]: Taking taylor expansion of 1/6 in lambda2 14.537 * [backup-simplify]: Simplify 1/6 into 1/6 14.537 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 14.537 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.537 * [backup-simplify]: Simplify 0 into 0 14.537 * [backup-simplify]: Simplify 1 into 1 14.537 * [backup-simplify]: Simplify (* 1/6 0) into 0 14.537 * [backup-simplify]: Simplify (- 0) into 0 14.537 * [backup-simplify]: Simplify 0 into 0 14.537 * [backup-simplify]: Simplify 0 into 0 14.538 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.538 * [backup-simplify]: Simplify 0 into 0 14.538 * [backup-simplify]: Simplify 0 into 0 14.539 * [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 14.540 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.542 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.543 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 14.543 * [backup-simplify]: Simplify (+ 0 0) into 0 14.544 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 14.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 14.545 * [taylor]: Taking taylor expansion of 0 in lambda2 14.545 * [backup-simplify]: Simplify 0 into 0 14.545 * [backup-simplify]: Simplify 0 into 0 14.545 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 14.546 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.546 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 14.546 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 14.546 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 14.546 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 14.546 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.546 * [backup-simplify]: Simplify 0 into 0 14.546 * [backup-simplify]: Simplify 1 into 1 14.546 * [backup-simplify]: Simplify (/ 1 1) into 1 14.546 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.546 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 14.546 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 14.546 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.546 * [backup-simplify]: Simplify lambda1 into lambda1 14.546 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 14.546 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.546 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 14.546 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 14.546 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 14.546 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 14.546 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.546 * [backup-simplify]: Simplify lambda2 into lambda2 14.546 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 14.546 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.546 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 14.546 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 14.547 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 14.547 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.547 * [backup-simplify]: Simplify 0 into 0 14.547 * [backup-simplify]: Simplify 1 into 1 14.547 * [backup-simplify]: Simplify (/ 1 1) into 1 14.547 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.547 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 14.547 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 14.547 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 14.547 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.547 * [backup-simplify]: Simplify lambda2 into lambda2 14.547 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 14.547 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.547 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 14.547 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 14.547 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 14.547 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.547 * [backup-simplify]: Simplify 0 into 0 14.547 * [backup-simplify]: Simplify 1 into 1 14.547 * [backup-simplify]: Simplify (/ 1 1) into 1 14.547 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.548 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 14.548 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 14.548 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 14.548 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.548 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 14.548 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 14.548 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 14.548 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.548 * [backup-simplify]: Simplify 0 into 0 14.548 * [backup-simplify]: Simplify 1 into 1 14.548 * [backup-simplify]: Simplify (/ 1 1) into 1 14.548 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 14.548 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 14.548 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 14.548 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.548 * [backup-simplify]: Simplify lambda1 into lambda1 14.548 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 14.548 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 14.548 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 14.548 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 14.548 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 14.549 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 14.549 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.549 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 14.549 * [backup-simplify]: Simplify (+ 0) into 0 14.549 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 14.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 14.550 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.550 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 14.550 * [backup-simplify]: Simplify (+ 0 0) into 0 14.550 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 14.550 * [taylor]: Taking taylor expansion of 0 in lambda2 14.551 * [backup-simplify]: Simplify 0 into 0 14.551 * [backup-simplify]: Simplify 0 into 0 14.551 * [backup-simplify]: Simplify (+ 0) into 0 14.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 14.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 14.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.552 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 14.552 * [backup-simplify]: Simplify (+ 0 0) into 0 14.552 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 14.552 * [backup-simplify]: Simplify 0 into 0 14.553 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.553 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 14.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.554 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 14.554 * [backup-simplify]: Simplify (+ 0 0) into 0 14.555 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 14.555 * [taylor]: Taking taylor expansion of 0 in lambda2 14.555 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.556 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 14.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 14.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.557 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 14.557 * [backup-simplify]: Simplify (+ 0 0) into 0 14.558 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 14.558 * [backup-simplify]: Simplify 0 into 0 14.558 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.559 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.560 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.560 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.560 * [backup-simplify]: Simplify (+ 0 0) into 0 14.561 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 14.561 * [taylor]: Taking taylor expansion of 0 in lambda2 14.561 * [backup-simplify]: Simplify 0 into 0 14.561 * [backup-simplify]: Simplify 0 into 0 14.561 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 14.561 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.561 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 14.561 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 14.561 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 14.561 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 14.561 * [taylor]: Taking taylor expansion of -1 in lambda2 14.561 * [backup-simplify]: Simplify -1 into -1 14.561 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.561 * [backup-simplify]: Simplify lambda1 into lambda1 14.561 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 14.561 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.561 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 14.562 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 14.562 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 14.562 * [taylor]: Taking taylor expansion of -1 in lambda2 14.562 * [backup-simplify]: Simplify -1 into -1 14.562 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.562 * [backup-simplify]: Simplify 0 into 0 14.562 * [backup-simplify]: Simplify 1 into 1 14.562 * [backup-simplify]: Simplify (/ -1 1) into -1 14.562 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.562 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 14.562 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 14.562 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 14.562 * [taylor]: Taking taylor expansion of -1 in lambda1 14.562 * [backup-simplify]: Simplify -1 into -1 14.562 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.562 * [backup-simplify]: Simplify 0 into 0 14.562 * [backup-simplify]: Simplify 1 into 1 14.562 * [backup-simplify]: Simplify (/ -1 1) into -1 14.562 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.562 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 14.562 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 14.562 * [taylor]: Taking taylor expansion of -1 in lambda1 14.562 * [backup-simplify]: Simplify -1 into -1 14.562 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.562 * [backup-simplify]: Simplify lambda2 into lambda2 14.563 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 14.563 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.563 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 14.563 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 14.563 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 14.563 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 14.563 * [taylor]: Taking taylor expansion of -1 in lambda1 14.563 * [backup-simplify]: Simplify -1 into -1 14.563 * [taylor]: Taking taylor expansion of lambda1 in lambda1 14.563 * [backup-simplify]: Simplify 0 into 0 14.563 * [backup-simplify]: Simplify 1 into 1 14.563 * [backup-simplify]: Simplify (/ -1 1) into -1 14.563 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.563 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 14.563 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 14.563 * [taylor]: Taking taylor expansion of -1 in lambda1 14.563 * [backup-simplify]: Simplify -1 into -1 14.563 * [taylor]: Taking taylor expansion of lambda2 in lambda1 14.563 * [backup-simplify]: Simplify lambda2 into lambda2 14.563 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 14.563 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.563 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 14.563 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 14.563 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 14.564 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 14.564 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.564 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 14.564 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 14.564 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 14.564 * [taylor]: Taking taylor expansion of -1 in lambda2 14.564 * [backup-simplify]: Simplify -1 into -1 14.564 * [taylor]: Taking taylor expansion of lambda1 in lambda2 14.564 * [backup-simplify]: Simplify lambda1 into lambda1 14.564 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 14.564 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 14.564 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 14.564 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 14.564 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 14.564 * [taylor]: Taking taylor expansion of -1 in lambda2 14.564 * [backup-simplify]: Simplify -1 into -1 14.564 * [taylor]: Taking taylor expansion of lambda2 in lambda2 14.564 * [backup-simplify]: Simplify 0 into 0 14.564 * [backup-simplify]: Simplify 1 into 1 14.564 * [backup-simplify]: Simplify (/ -1 1) into -1 14.564 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 14.564 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 14.564 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 14.564 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 14.565 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.565 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 14.565 * [backup-simplify]: Simplify (+ 0) into 0 14.565 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 14.565 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 14.566 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 14.566 * [backup-simplify]: Simplify (+ 0 0) into 0 14.566 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 14.566 * [taylor]: Taking taylor expansion of 0 in lambda2 14.566 * [backup-simplify]: Simplify 0 into 0 14.566 * [backup-simplify]: Simplify 0 into 0 14.567 * [backup-simplify]: Simplify (+ 0) into 0 14.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 14.567 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 14.568 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 14.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 14.568 * [backup-simplify]: Simplify (+ 0 0) into 0 14.568 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 14.568 * [backup-simplify]: Simplify 0 into 0 14.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 14.569 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.570 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 14.570 * [backup-simplify]: Simplify (+ 0 0) into 0 14.571 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 14.571 * [taylor]: Taking taylor expansion of 0 in lambda2 14.571 * [backup-simplify]: Simplify 0 into 0 14.571 * [backup-simplify]: Simplify 0 into 0 14.571 * [backup-simplify]: Simplify 0 into 0 14.572 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 14.573 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 14.573 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 14.574 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 14.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 14.575 * [backup-simplify]: Simplify (+ 0 0) into 0 14.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 14.575 * [backup-simplify]: Simplify 0 into 0 14.576 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 14.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.577 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 14.579 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 14.580 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 14.580 * [backup-simplify]: Simplify (+ 0 0) into 0 14.581 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 14.581 * [taylor]: Taking taylor expansion of 0 in lambda2 14.581 * [backup-simplify]: Simplify 0 into 0 14.581 * [backup-simplify]: Simplify 0 into 0 14.581 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 14.581 * * * * [progress]: [ 4 / 4 ] generating series at (2) 14.582 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.582 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 14.583 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 14.583 * [taylor]: Taking taylor expansion of R in R 14.583 * [backup-simplify]: Simplify 0 into 0 14.583 * [backup-simplify]: Simplify 1 into 1 14.583 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 14.583 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.584 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 14.584 * [taylor]: Taking taylor expansion of R in lambda2 14.584 * [backup-simplify]: Simplify R into R 14.584 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 14.584 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.584 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 14.585 * [taylor]: Taking taylor expansion of R in lambda1 14.585 * [backup-simplify]: Simplify R into R 14.585 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 14.585 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.585 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 14.585 * [taylor]: Taking taylor expansion of R in phi2 14.586 * [backup-simplify]: Simplify R into R 14.586 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 14.586 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.586 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 14.586 * [taylor]: Taking taylor expansion of R in phi1 14.587 * [backup-simplify]: Simplify R into R 14.587 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 14.587 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.587 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 14.587 * [taylor]: Taking taylor expansion of R in phi1 14.587 * [backup-simplify]: Simplify R into R 14.587 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 14.588 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.588 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.588 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 14.588 * [taylor]: Taking taylor expansion of R in phi2 14.588 * [backup-simplify]: Simplify R into R 14.588 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 14.588 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.589 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.589 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 14.589 * [taylor]: Taking taylor expansion of R in lambda1 14.589 * [backup-simplify]: Simplify R into R 14.589 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 14.589 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.590 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.590 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 14.590 * [taylor]: Taking taylor expansion of R in lambda2 14.590 * [backup-simplify]: Simplify R into R 14.590 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 14.590 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.591 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.591 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 14.591 * [taylor]: Taking taylor expansion of R in R 14.591 * [backup-simplify]: Simplify 0 into 0 14.591 * [backup-simplify]: Simplify 1 into 1 14.591 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 14.592 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.592 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 14.592 * [backup-simplify]: Simplify 0 into 0 14.592 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 14.592 * [taylor]: Taking taylor expansion of 0 in phi2 14.592 * [backup-simplify]: Simplify 0 into 0 14.592 * [taylor]: Taking taylor expansion of 0 in lambda1 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [taylor]: Taking taylor expansion of 0 in lambda2 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [taylor]: Taking taylor expansion of 0 in R 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 14.593 * [taylor]: Taking taylor expansion of 0 in lambda1 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [taylor]: Taking taylor expansion of 0 in lambda2 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [taylor]: Taking taylor expansion of 0 in R 14.593 * [backup-simplify]: Simplify 0 into 0 14.593 * [backup-simplify]: Simplify 0 into 0 14.594 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 14.594 * [taylor]: Taking taylor expansion of 0 in lambda2 14.594 * [backup-simplify]: Simplify 0 into 0 14.594 * [taylor]: Taking taylor expansion of 0 in R 14.594 * [backup-simplify]: Simplify 0 into 0 14.594 * [backup-simplify]: Simplify 0 into 0 14.594 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 14.594 * [taylor]: Taking taylor expansion of 0 in R 14.594 * [backup-simplify]: Simplify 0 into 0 14.594 * [backup-simplify]: Simplify 0 into 0 14.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.595 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 14.596 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 14.596 * [taylor]: Taking taylor expansion of 0 in phi2 14.596 * [backup-simplify]: Simplify 0 into 0 14.596 * [taylor]: Taking taylor expansion of 0 in lambda1 14.596 * [backup-simplify]: Simplify 0 into 0 14.596 * [taylor]: Taking taylor expansion of 0 in lambda2 14.596 * [backup-simplify]: Simplify 0 into 0 14.596 * [taylor]: Taking taylor expansion of 0 in R 14.596 * [backup-simplify]: Simplify 0 into 0 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [taylor]: Taking taylor expansion of 0 in lambda1 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [taylor]: Taking taylor expansion of 0 in lambda2 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [taylor]: Taking taylor expansion of 0 in R 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 14.597 * [taylor]: Taking taylor expansion of 0 in lambda1 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [taylor]: Taking taylor expansion of 0 in lambda2 14.597 * [backup-simplify]: Simplify 0 into 0 14.597 * [taylor]: Taking taylor expansion of 0 in R 14.597 * [backup-simplify]: Simplify 0 into 0 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [taylor]: Taking taylor expansion of 0 in lambda2 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [taylor]: Taking taylor expansion of 0 in R 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [taylor]: Taking taylor expansion of 0 in lambda2 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [taylor]: Taking taylor expansion of 0 in R 14.598 * [backup-simplify]: Simplify 0 into 0 14.598 * [backup-simplify]: Simplify 0 into 0 14.601 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 14.601 * [taylor]: Taking taylor expansion of 0 in lambda2 14.601 * [backup-simplify]: Simplify 0 into 0 14.601 * [taylor]: Taking taylor expansion of 0 in R 14.601 * [backup-simplify]: Simplify 0 into 0 14.601 * [backup-simplify]: Simplify 0 into 0 14.602 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.603 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 14.603 * [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 14.603 * [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 14.603 * [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 14.603 * [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)))))))) 14.603 * [taylor]: Taking taylor expansion of R in R 14.603 * [backup-simplify]: Simplify 0 into 0 14.603 * [backup-simplify]: Simplify 1 into 1 14.604 * [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)))))))) 14.604 * [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 14.604 * [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 14.605 * [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)))))))) 14.605 * [taylor]: Taking taylor expansion of R in lambda2 14.605 * [backup-simplify]: Simplify R into R 14.605 * [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) 14.605 * [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 14.605 * [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 14.606 * [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)))))))) 14.606 * [taylor]: Taking taylor expansion of R in lambda1 14.606 * [backup-simplify]: Simplify R into R 14.606 * [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) 14.607 * [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 14.607 * [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 14.607 * [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)))))))) 14.607 * [taylor]: Taking taylor expansion of R in phi2 14.607 * [backup-simplify]: Simplify R into R 14.608 * [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) 14.608 * [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 14.608 * [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 14.608 * [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)))))))) 14.608 * [taylor]: Taking taylor expansion of R in phi1 14.608 * [backup-simplify]: Simplify R into R 14.609 * [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) 14.609 * [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 14.609 * [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 14.609 * [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)))))))) 14.609 * [taylor]: Taking taylor expansion of R in phi1 14.609 * [backup-simplify]: Simplify R into R 14.610 * [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) 14.610 * [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 14.610 * [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 14.611 * [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)))))))) 14.611 * [taylor]: Taking taylor expansion of R in phi2 14.611 * [backup-simplify]: Simplify R into R 14.611 * [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) 14.611 * [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 14.611 * [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 14.612 * [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)))))))) 14.612 * [taylor]: Taking taylor expansion of R in lambda1 14.612 * [backup-simplify]: Simplify R into R 14.612 * [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) 14.612 * [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 14.612 * [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 14.613 * [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)))))))) 14.613 * [taylor]: Taking taylor expansion of R in lambda2 14.613 * [backup-simplify]: Simplify R into R 14.613 * [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) 14.613 * [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 14.614 * [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 14.614 * [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)))))))) 14.614 * [taylor]: Taking taylor expansion of R in R 14.614 * [backup-simplify]: Simplify 0 into 0 14.614 * [backup-simplify]: Simplify 1 into 1 14.615 * [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)))))))) 14.615 * [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)))))))) 14.617 * [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 14.617 * [taylor]: Taking taylor expansion of 0 in phi2 14.617 * [backup-simplify]: Simplify 0 into 0 14.617 * [taylor]: Taking taylor expansion of 0 in lambda1 14.617 * [backup-simplify]: Simplify 0 into 0 14.617 * [taylor]: Taking taylor expansion of 0 in lambda2 14.617 * [backup-simplify]: Simplify 0 into 0 14.617 * [taylor]: Taking taylor expansion of 0 in R 14.617 * [backup-simplify]: Simplify 0 into 0 14.619 * [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 14.619 * [taylor]: Taking taylor expansion of 0 in lambda1 14.619 * [backup-simplify]: Simplify 0 into 0 14.619 * [taylor]: Taking taylor expansion of 0 in lambda2 14.619 * [backup-simplify]: Simplify 0 into 0 14.619 * [taylor]: Taking taylor expansion of 0 in R 14.619 * [backup-simplify]: Simplify 0 into 0 14.620 * [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 14.620 * [taylor]: Taking taylor expansion of 0 in lambda2 14.620 * [backup-simplify]: Simplify 0 into 0 14.620 * [taylor]: Taking taylor expansion of 0 in R 14.620 * [backup-simplify]: Simplify 0 into 0 14.622 * [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 14.622 * [taylor]: Taking taylor expansion of 0 in R 14.622 * [backup-simplify]: Simplify 0 into 0 14.624 * [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 14.624 * [backup-simplify]: Simplify 0 into 0 14.626 * [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 14.626 * [taylor]: Taking taylor expansion of 0 in phi2 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [taylor]: Taking taylor expansion of 0 in lambda1 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [taylor]: Taking taylor expansion of 0 in lambda2 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [taylor]: Taking taylor expansion of 0 in R 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [taylor]: Taking taylor expansion of 0 in lambda1 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [taylor]: Taking taylor expansion of 0 in lambda2 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [taylor]: Taking taylor expansion of 0 in R 14.626 * [backup-simplify]: Simplify 0 into 0 14.628 * [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 14.628 * [taylor]: Taking taylor expansion of 0 in lambda1 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [taylor]: Taking taylor expansion of 0 in lambda2 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [taylor]: Taking taylor expansion of 0 in R 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [taylor]: Taking taylor expansion of 0 in lambda2 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [taylor]: Taking taylor expansion of 0 in R 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [taylor]: Taking taylor expansion of 0 in lambda2 14.628 * [backup-simplify]: Simplify 0 into 0 14.628 * [taylor]: Taking taylor expansion of 0 in R 14.628 * [backup-simplify]: Simplify 0 into 0 14.630 * [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 14.630 * [taylor]: Taking taylor expansion of 0 in lambda2 14.630 * [backup-simplify]: Simplify 0 into 0 14.630 * [taylor]: Taking taylor expansion of 0 in R 14.630 * [backup-simplify]: Simplify 0 into 0 14.630 * [taylor]: Taking taylor expansion of 0 in R 14.630 * [backup-simplify]: Simplify 0 into 0 14.630 * [taylor]: Taking taylor expansion of 0 in R 14.630 * [backup-simplify]: Simplify 0 into 0 14.630 * [taylor]: Taking taylor expansion of 0 in R 14.630 * [backup-simplify]: Simplify 0 into 0 14.632 * [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 14.632 * [taylor]: Taking taylor expansion of 0 in R 14.632 * [backup-simplify]: Simplify 0 into 0 14.632 * [backup-simplify]: Simplify 0 into 0 14.632 * [backup-simplify]: Simplify 0 into 0 14.632 * [backup-simplify]: Simplify 0 into 0 14.632 * [backup-simplify]: Simplify 0 into 0 14.635 * [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 14.635 * [backup-simplify]: Simplify 0 into 0 14.637 * [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) 14.638 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 14.638 * [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 14.638 * [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 14.639 * [taylor]: Taking taylor expansion of -1 in R 14.639 * [backup-simplify]: Simplify -1 into -1 14.639 * [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 14.639 * [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 14.640 * [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)))))))) 14.640 * [taylor]: Taking taylor expansion of R in R 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.641 * [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)))))))) 14.641 * [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 14.641 * [taylor]: Taking taylor expansion of -1 in lambda2 14.641 * [backup-simplify]: Simplify -1 into -1 14.641 * [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 14.641 * [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 14.642 * [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)))))))) 14.642 * [taylor]: Taking taylor expansion of R in lambda2 14.642 * [backup-simplify]: Simplify R into R 14.644 * [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) 14.644 * [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 14.644 * [taylor]: Taking taylor expansion of -1 in lambda1 14.644 * [backup-simplify]: Simplify -1 into -1 14.644 * [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 14.644 * [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 14.645 * [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)))))))) 14.645 * [taylor]: Taking taylor expansion of R in lambda1 14.645 * [backup-simplify]: Simplify R into R 14.646 * [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) 14.646 * [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 14.646 * [taylor]: Taking taylor expansion of -1 in phi2 14.646 * [backup-simplify]: Simplify -1 into -1 14.646 * [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 14.646 * [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 14.647 * [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)))))))) 14.647 * [taylor]: Taking taylor expansion of R in phi2 14.648 * [backup-simplify]: Simplify R into R 14.649 * [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) 14.649 * [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 14.649 * [taylor]: Taking taylor expansion of -1 in phi1 14.649 * [backup-simplify]: Simplify -1 into -1 14.649 * [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 14.649 * [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 14.650 * [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)))))))) 14.650 * [taylor]: Taking taylor expansion of R in phi1 14.650 * [backup-simplify]: Simplify R into R 14.651 * [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) 14.651 * [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 14.651 * [taylor]: Taking taylor expansion of -1 in phi1 14.651 * [backup-simplify]: Simplify -1 into -1 14.651 * [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 14.651 * [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 14.653 * [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)))))))) 14.653 * [taylor]: Taking taylor expansion of R in phi1 14.653 * [backup-simplify]: Simplify R into R 14.654 * [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) 14.655 * [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)) 14.655 * [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 14.655 * [taylor]: Taking taylor expansion of -1 in phi2 14.655 * [backup-simplify]: Simplify -1 into -1 14.655 * [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 14.655 * [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 14.657 * [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)))))))) 14.657 * [taylor]: Taking taylor expansion of R in phi2 14.657 * [backup-simplify]: Simplify R into R 14.658 * [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) 14.659 * [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)) 14.659 * [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 14.659 * [taylor]: Taking taylor expansion of -1 in lambda1 14.659 * [backup-simplify]: Simplify -1 into -1 14.659 * [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 14.660 * [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 14.661 * [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)))))))) 14.661 * [taylor]: Taking taylor expansion of R in lambda1 14.661 * [backup-simplify]: Simplify R into R 14.662 * [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) 14.663 * [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)) 14.663 * [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 14.663 * [taylor]: Taking taylor expansion of -1 in lambda2 14.663 * [backup-simplify]: Simplify -1 into -1 14.663 * [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 14.663 * [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 14.664 * [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)))))))) 14.664 * [taylor]: Taking taylor expansion of R in lambda2 14.665 * [backup-simplify]: Simplify R into R 14.666 * [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) 14.667 * [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)) 14.667 * [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 14.667 * [taylor]: Taking taylor expansion of -1 in R 14.667 * [backup-simplify]: Simplify -1 into -1 14.667 * [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 14.667 * [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 14.668 * [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)))))))) 14.668 * [taylor]: Taking taylor expansion of R in R 14.668 * [backup-simplify]: Simplify 0 into 0 14.668 * [backup-simplify]: Simplify 1 into 1 14.668 * [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)))))))) 14.669 * [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))))))))) 14.669 * [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))))))))) 14.670 * [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 14.671 * [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 14.671 * [taylor]: Taking taylor expansion of 0 in phi2 14.671 * [backup-simplify]: Simplify 0 into 0 14.671 * [taylor]: Taking taylor expansion of 0 in lambda1 14.671 * [backup-simplify]: Simplify 0 into 0 14.671 * [taylor]: Taking taylor expansion of 0 in lambda2 14.671 * [backup-simplify]: Simplify 0 into 0 14.671 * [taylor]: Taking taylor expansion of 0 in R 14.671 * [backup-simplify]: Simplify 0 into 0 14.672 * [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 14.673 * [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 14.673 * [taylor]: Taking taylor expansion of 0 in lambda1 14.673 * [backup-simplify]: Simplify 0 into 0 14.673 * [taylor]: Taking taylor expansion of 0 in lambda2 14.673 * [backup-simplify]: Simplify 0 into 0 14.673 * [taylor]: Taking taylor expansion of 0 in R 14.673 * [backup-simplify]: Simplify 0 into 0 14.674 * [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 14.675 * [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 14.675 * [taylor]: Taking taylor expansion of 0 in lambda2 14.675 * [backup-simplify]: Simplify 0 into 0 14.675 * [taylor]: Taking taylor expansion of 0 in R 14.675 * [backup-simplify]: Simplify 0 into 0 14.675 * [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 14.676 * [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 14.677 * [taylor]: Taking taylor expansion of 0 in R 14.677 * [backup-simplify]: Simplify 0 into 0 14.678 * [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 14.679 * [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 14.679 * [backup-simplify]: Simplify 0 into 0 14.679 * [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 14.680 * [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 14.680 * [taylor]: Taking taylor expansion of 0 in phi2 14.680 * [backup-simplify]: Simplify 0 into 0 14.680 * [taylor]: Taking taylor expansion of 0 in lambda1 14.680 * [backup-simplify]: Simplify 0 into 0 14.681 * [taylor]: Taking taylor expansion of 0 in lambda2 14.681 * [backup-simplify]: Simplify 0 into 0 14.681 * [taylor]: Taking taylor expansion of 0 in R 14.681 * [backup-simplify]: Simplify 0 into 0 14.681 * [taylor]: Taking taylor expansion of 0 in lambda1 14.681 * [backup-simplify]: Simplify 0 into 0 14.681 * [taylor]: Taking taylor expansion of 0 in lambda2 14.681 * [backup-simplify]: Simplify 0 into 0 14.681 * [taylor]: Taking taylor expansion of 0 in R 14.681 * [backup-simplify]: Simplify 0 into 0 14.681 * [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 14.682 * [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 14.682 * [taylor]: Taking taylor expansion of 0 in lambda1 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [taylor]: Taking taylor expansion of 0 in lambda2 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [taylor]: Taking taylor expansion of 0 in R 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [taylor]: Taking taylor expansion of 0 in lambda2 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [taylor]: Taking taylor expansion of 0 in R 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [taylor]: Taking taylor expansion of 0 in lambda2 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [taylor]: Taking taylor expansion of 0 in R 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [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 14.685 * [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 14.685 * [taylor]: Taking taylor expansion of 0 in lambda2 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [taylor]: Taking taylor expansion of 0 in R 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [taylor]: Taking taylor expansion of 0 in R 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [taylor]: Taking taylor expansion of 0 in R 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [taylor]: Taking taylor expansion of 0 in R 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [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 14.687 * [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 14.687 * [taylor]: Taking taylor expansion of 0 in R 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 0 into 0 14.688 * [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 14.689 * [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 14.689 * [backup-simplify]: Simplify 0 into 0 14.691 * [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)))))) 14.691 * * * [progress]: simplifying candidates 14.692 * [simplify]: Simplifying: (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin lambda2))))) (exp (log (exp (* (sin lambda1) (sin lambda2))))) (* (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin lambda2))))) (* (* (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2))))) (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (sqrt (log (exp (* (sin lambda1) (sin lambda2))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda1) (sin lambda2)) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 14.693 * * [simplify]: iteration 0: 119 enodes 14.730 * * [simplify]: iteration 1: 230 enodes 14.798 * * [simplify]: iteration 2: 475 enodes 14.996 * * [simplify]: iteration 3: 1132 enodes 15.659 * * [simplify]: iteration 4: 2506 enodes 17.090 * * [simplify]: iteration complete: 5000 enodes 17.090 * * [simplify]: Extracting #0: cost 40 inf + 0 17.090 * * [simplify]: Extracting #1: cost 318 inf + 1 17.093 * * [simplify]: Extracting #2: cost 871 inf + 1045 17.098 * * [simplify]: Extracting #3: cost 984 inf + 24041 17.112 * * [simplify]: Extracting #4: cost 809 inf + 108023 17.133 * * [simplify]: Extracting #5: cost 704 inf + 142581 17.168 * * [simplify]: Extracting #6: cost 571 inf + 173002 17.218 * * [simplify]: Extracting #7: cost 417 inf + 246660 17.341 * * [simplify]: Extracting #8: cost 92 inf + 569187 17.499 * * [simplify]: Extracting #9: cost 3 inf + 668988 17.639 * * [simplify]: Extracting #10: cost 0 inf + 673419 17.796 * [simplify]: Simplified to: (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 0 (* (sin lambda1) (sin lambda2)) (sin lambda1) (* (sin lambda1) (sin lambda2)) (sin lambda1) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (sqrt (sin lambda2)) (sqrt (sin lambda1))) (* (cbrt (sin lambda2)) (* (cbrt (sin lambda2)) (sin lambda1))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda1) (sin lambda2)) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (exp (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (sqrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) R) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2)))) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2))))) 17.805 * * * [progress]: adding candidates to table 18.517 * [progress]: [Phase 3 of 3] Extracting. 18.517 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 18.537 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 18.537 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # #) 18.804 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # #) 19.070 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # #) 19.327 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # #) 19.591 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # #) 19.867 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # #) 20.127 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # #) 20.376 * * * [regime]: Found split indices: #