10.424 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 9.573 * * * [progress]: [2/2] Setting up program. 9.579 * [progress]: [Phase 2 of 3] Improving. 9.579 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 9.581 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 9.582 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 9.583 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 9.584 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 9.585 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 9.585 * * [progress]: iteration 1 / 4 9.585 * * * [progress]: picking best candidate 9.595 * * * * [pick]: Picked # 9.595 * * * [progress]: localizing error 9.620 * * * [progress]: generating rewritten candidates 9.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 9.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.626 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.629 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.635 * * * [progress]: generating series expansions 9.635 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 9.635 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 9.635 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 9.635 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 9.635 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.635 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.635 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 9.635 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 9.635 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.635 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.635 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 9.635 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 9.635 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.635 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.635 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 9.636 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 9.636 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.637 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 9.637 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 9.637 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 9.637 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.637 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 9.637 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 9.637 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.637 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 9.637 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 9.637 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.637 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 9.637 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 9.637 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.638 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.638 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.638 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 9.638 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.638 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.638 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.638 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 9.638 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.638 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.638 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.638 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 9.638 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.638 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.638 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.638 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.638 * [taylor]: Taking taylor expansion of 0 in lambda2 9.638 * [taylor]: Taking taylor expansion of 0 in lambda2 9.638 * [taylor]: Taking taylor expansion of 0 in lambda2 9.639 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 9.639 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 9.639 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.639 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.639 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.639 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 9.639 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.639 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.639 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.639 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 9.639 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.639 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.639 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.639 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 9.639 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.639 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.639 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.639 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.639 * [taylor]: Taking taylor expansion of 0 in lambda2 9.640 * [taylor]: Taking taylor expansion of 0 in lambda2 9.640 * [taylor]: Taking taylor expansion of 0 in lambda2 9.640 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.640 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.640 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 9.641 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 9.641 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 9.641 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 9.641 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 9.642 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 9.642 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 9.642 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 9.642 * [taylor]: Taking taylor expansion of 0 in phi2 9.642 * [taylor]: Taking taylor expansion of 0 in lambda1 9.642 * [taylor]: Taking taylor expansion of 0 in lambda2 9.642 * [taylor]: Taking taylor expansion of 0 in lambda1 9.642 * [taylor]: Taking taylor expansion of 0 in lambda2 9.642 * [taylor]: Taking taylor expansion of 0 in lambda2 9.642 * [taylor]: Taking taylor expansion of 0 in phi2 9.642 * [taylor]: Taking taylor expansion of 0 in lambda1 9.642 * [taylor]: Taking taylor expansion of 0 in lambda2 9.642 * [taylor]: Taking taylor expansion of 0 in lambda1 9.642 * [taylor]: Taking taylor expansion of 0 in lambda2 9.643 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.643 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 9.643 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 9.643 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 9.643 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 9.644 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 9.644 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 9.644 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 9.644 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 9.645 * [taylor]: Taking taylor expansion of 0 in phi2 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [taylor]: Taking taylor expansion of 0 in phi2 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [taylor]: Taking taylor expansion of 0 in lambda1 9.645 * [taylor]: Taking taylor expansion of 0 in lambda2 9.645 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.645 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 9.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 9.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 9.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 9.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 9.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 9.647 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 9.647 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 9.647 * [taylor]: Taking taylor expansion of 0 in phi2 9.647 * [taylor]: Taking taylor expansion of 0 in lambda1 9.647 * [taylor]: Taking taylor expansion of 0 in lambda2 9.647 * [taylor]: Taking taylor expansion of 0 in lambda1 9.647 * [taylor]: Taking taylor expansion of 0 in lambda2 9.647 * [taylor]: Taking taylor expansion of 0 in lambda2 9.647 * [taylor]: Taking taylor expansion of 0 in phi2 9.648 * [taylor]: Taking taylor expansion of 0 in lambda1 9.648 * [taylor]: Taking taylor expansion of 0 in lambda2 9.648 * [taylor]: Taking taylor expansion of 0 in lambda1 9.648 * [taylor]: Taking taylor expansion of 0 in lambda2 9.648 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.648 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 9.648 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 9.648 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 9.648 * [taylor]: Taking taylor expansion of R in R 9.648 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 9.648 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 9.648 * [taylor]: Taking taylor expansion of R in lambda2 9.648 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 9.648 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 9.649 * [taylor]: Taking taylor expansion of R in lambda1 9.649 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 9.649 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 9.649 * [taylor]: Taking taylor expansion of R in phi2 9.649 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 9.649 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 9.649 * [taylor]: Taking taylor expansion of R in phi1 9.649 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 9.649 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 9.649 * [taylor]: Taking taylor expansion of R in phi1 9.649 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 9.649 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 9.649 * [taylor]: Taking taylor expansion of R in phi2 9.650 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 9.650 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 9.650 * [taylor]: Taking taylor expansion of R in lambda1 9.650 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 9.650 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 9.650 * [taylor]: Taking taylor expansion of R in lambda2 9.650 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 9.650 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 9.650 * [taylor]: Taking taylor expansion of R in R 9.651 * [taylor]: Taking taylor expansion of 0 in phi2 9.651 * [taylor]: Taking taylor expansion of 0 in lambda1 9.651 * [taylor]: Taking taylor expansion of 0 in lambda2 9.651 * [taylor]: Taking taylor expansion of 0 in R 9.651 * [taylor]: Taking taylor expansion of 0 in lambda1 9.651 * [taylor]: Taking taylor expansion of 0 in lambda2 9.651 * [taylor]: Taking taylor expansion of 0 in R 9.651 * [taylor]: Taking taylor expansion of 0 in lambda2 9.651 * [taylor]: Taking taylor expansion of 0 in R 9.651 * [taylor]: Taking taylor expansion of 0 in R 9.652 * [taylor]: Taking taylor expansion of 0 in phi2 9.652 * [taylor]: Taking taylor expansion of 0 in lambda1 9.652 * [taylor]: Taking taylor expansion of 0 in lambda2 9.652 * [taylor]: Taking taylor expansion of 0 in R 9.652 * [taylor]: Taking taylor expansion of 0 in lambda1 9.652 * [taylor]: Taking taylor expansion of 0 in lambda2 9.652 * [taylor]: Taking taylor expansion of 0 in R 9.652 * [taylor]: Taking taylor expansion of 0 in lambda1 9.652 * [taylor]: Taking taylor expansion of 0 in lambda2 9.652 * [taylor]: Taking taylor expansion of 0 in R 9.652 * [taylor]: Taking taylor expansion of 0 in lambda2 9.652 * [taylor]: Taking taylor expansion of 0 in R 9.652 * [taylor]: Taking taylor expansion of 0 in lambda2 9.652 * [taylor]: Taking taylor expansion of 0 in R 9.653 * [taylor]: Taking taylor expansion of 0 in lambda2 9.653 * [taylor]: Taking taylor expansion of 0 in R 9.653 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 9.653 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 9.653 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 9.653 * [taylor]: Taking taylor expansion of R in R 9.653 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 9.653 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 9.654 * [taylor]: Taking taylor expansion of R in lambda2 9.654 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 9.654 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 9.654 * [taylor]: Taking taylor expansion of R in lambda1 9.654 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 9.654 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 9.655 * [taylor]: Taking taylor expansion of R in phi2 9.655 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 9.655 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 9.655 * [taylor]: Taking taylor expansion of R in phi1 9.655 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 9.655 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 9.655 * [taylor]: Taking taylor expansion of R in phi1 9.656 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 9.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 9.656 * [taylor]: Taking taylor expansion of R in phi2 9.656 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 9.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 9.656 * [taylor]: Taking taylor expansion of R in lambda1 9.656 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 9.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 9.657 * [taylor]: Taking taylor expansion of R in lambda2 9.657 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 9.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 9.657 * [taylor]: Taking taylor expansion of R in R 9.658 * [taylor]: Taking taylor expansion of 0 in phi2 9.658 * [taylor]: Taking taylor expansion of 0 in lambda1 9.658 * [taylor]: Taking taylor expansion of 0 in lambda2 9.658 * [taylor]: Taking taylor expansion of 0 in R 9.658 * [taylor]: Taking taylor expansion of 0 in lambda1 9.658 * [taylor]: Taking taylor expansion of 0 in lambda2 9.658 * [taylor]: Taking taylor expansion of 0 in R 9.658 * [taylor]: Taking taylor expansion of 0 in lambda2 9.658 * [taylor]: Taking taylor expansion of 0 in R 9.659 * [taylor]: Taking taylor expansion of 0 in R 9.659 * [taylor]: Taking taylor expansion of 0 in phi2 9.659 * [taylor]: Taking taylor expansion of 0 in lambda1 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [taylor]: Taking taylor expansion of 0 in R 9.659 * [taylor]: Taking taylor expansion of 0 in lambda1 9.659 * [taylor]: Taking taylor expansion of 0 in lambda2 9.659 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in lambda1 9.660 * [taylor]: Taking taylor expansion of 0 in lambda2 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in lambda2 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in lambda2 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in lambda2 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.660 * [taylor]: Taking taylor expansion of 0 in R 9.661 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 9.661 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 9.661 * [taylor]: Taking taylor expansion of -1 in R 9.661 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 9.661 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 9.661 * [taylor]: Taking taylor expansion of R in R 9.662 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 9.662 * [taylor]: Taking taylor expansion of -1 in lambda2 9.662 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 9.662 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 9.662 * [taylor]: Taking taylor expansion of R in lambda2 9.662 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 9.662 * [taylor]: Taking taylor expansion of -1 in lambda1 9.662 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 9.662 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 9.662 * [taylor]: Taking taylor expansion of R in lambda1 9.663 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 9.663 * [taylor]: Taking taylor expansion of -1 in phi2 9.663 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 9.663 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 9.663 * [taylor]: Taking taylor expansion of R in phi2 9.663 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 9.663 * [taylor]: Taking taylor expansion of -1 in phi1 9.663 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 9.663 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 9.663 * [taylor]: Taking taylor expansion of R in phi1 9.663 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 9.664 * [taylor]: Taking taylor expansion of -1 in phi1 9.664 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 9.664 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 9.664 * [taylor]: Taking taylor expansion of R in phi1 9.664 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 9.664 * [taylor]: Taking taylor expansion of -1 in phi2 9.664 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 9.664 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 9.664 * [taylor]: Taking taylor expansion of R in phi2 9.665 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 9.665 * [taylor]: Taking taylor expansion of -1 in lambda1 9.665 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 9.665 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 9.665 * [taylor]: Taking taylor expansion of R in lambda1 9.665 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 9.665 * [taylor]: Taking taylor expansion of -1 in lambda2 9.666 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 9.666 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 9.666 * [taylor]: Taking taylor expansion of R in lambda2 9.666 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 9.666 * [taylor]: Taking taylor expansion of -1 in R 9.666 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 9.666 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 9.666 * [taylor]: Taking taylor expansion of R in R 9.667 * [taylor]: Taking taylor expansion of 0 in phi2 9.667 * [taylor]: Taking taylor expansion of 0 in lambda1 9.668 * [taylor]: Taking taylor expansion of 0 in lambda2 9.668 * [taylor]: Taking taylor expansion of 0 in R 9.668 * [taylor]: Taking taylor expansion of 0 in lambda1 9.668 * [taylor]: Taking taylor expansion of 0 in lambda2 9.668 * [taylor]: Taking taylor expansion of 0 in R 9.668 * [taylor]: Taking taylor expansion of 0 in lambda2 9.668 * [taylor]: Taking taylor expansion of 0 in R 9.669 * [taylor]: Taking taylor expansion of 0 in R 9.670 * [taylor]: Taking taylor expansion of 0 in phi2 9.670 * [taylor]: Taking taylor expansion of 0 in lambda1 9.670 * [taylor]: Taking taylor expansion of 0 in lambda2 9.670 * [taylor]: Taking taylor expansion of 0 in R 9.670 * [taylor]: Taking taylor expansion of 0 in lambda1 9.670 * [taylor]: Taking taylor expansion of 0 in lambda2 9.670 * [taylor]: Taking taylor expansion of 0 in R 9.670 * [taylor]: Taking taylor expansion of 0 in lambda1 9.670 * [taylor]: Taking taylor expansion of 0 in lambda2 9.670 * [taylor]: Taking taylor expansion of 0 in R 9.670 * [taylor]: Taking taylor expansion of 0 in lambda2 9.670 * [taylor]: Taking taylor expansion of 0 in R 9.670 * [taylor]: Taking taylor expansion of 0 in lambda2 9.671 * [taylor]: Taking taylor expansion of 0 in R 9.671 * [taylor]: Taking taylor expansion of 0 in lambda2 9.671 * [taylor]: Taking taylor expansion of 0 in R 9.671 * [taylor]: Taking taylor expansion of 0 in R 9.671 * [taylor]: Taking taylor expansion of 0 in R 9.671 * [taylor]: Taking taylor expansion of 0 in R 9.672 * [taylor]: Taking taylor expansion of 0 in R 9.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 9.672 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 9.672 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 9.672 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 9.672 * [taylor]: Taking taylor expansion of phi1 in phi2 9.673 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.673 * [taylor]: Taking taylor expansion of phi2 in phi2 9.673 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 9.673 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 9.673 * [taylor]: Taking taylor expansion of phi1 in phi1 9.673 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 9.673 * [taylor]: Taking taylor expansion of phi2 in phi1 9.673 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 9.673 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 9.673 * [taylor]: Taking taylor expansion of phi1 in phi1 9.673 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 9.673 * [taylor]: Taking taylor expansion of phi2 in phi1 9.673 * [taylor]: Taking taylor expansion of 0 in phi2 9.673 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.673 * [taylor]: Taking taylor expansion of phi2 in phi2 9.674 * [taylor]: Taking taylor expansion of 0 in phi2 9.675 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 9.675 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 9.675 * [taylor]: Taking taylor expansion of 1/6 in phi2 9.675 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.675 * [taylor]: Taking taylor expansion of phi2 in phi2 9.675 * [taylor]: Taking taylor expansion of 0 in phi2 9.676 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 9.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.676 * [taylor]: Taking taylor expansion of phi1 in phi2 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.676 * [taylor]: Taking taylor expansion of phi2 in phi2 9.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.676 * [taylor]: Taking taylor expansion of phi1 in phi1 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.676 * [taylor]: Taking taylor expansion of phi2 in phi1 9.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.676 * [taylor]: Taking taylor expansion of phi1 in phi1 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.676 * [taylor]: Taking taylor expansion of phi2 in phi1 9.676 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 9.676 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 9.676 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.676 * [taylor]: Taking taylor expansion of phi1 in phi2 9.677 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 9.677 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.677 * [taylor]: Taking taylor expansion of phi2 in phi2 9.677 * [taylor]: Taking taylor expansion of 0 in phi2 9.678 * [taylor]: Taking taylor expansion of 0 in phi2 9.679 * [taylor]: Taking taylor expansion of 0 in phi2 9.679 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 9.679 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 9.679 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 9.679 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.679 * [taylor]: Taking taylor expansion of -1 in phi2 9.679 * [taylor]: Taking taylor expansion of phi1 in phi2 9.679 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 9.679 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.679 * [taylor]: Taking taylor expansion of -1 in phi2 9.679 * [taylor]: Taking taylor expansion of phi2 in phi2 9.679 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 9.679 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 9.679 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.679 * [taylor]: Taking taylor expansion of -1 in phi1 9.679 * [taylor]: Taking taylor expansion of phi1 in phi1 9.679 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 9.679 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.679 * [taylor]: Taking taylor expansion of -1 in phi1 9.679 * [taylor]: Taking taylor expansion of phi2 in phi1 9.679 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 9.679 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 9.679 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.679 * [taylor]: Taking taylor expansion of -1 in phi1 9.679 * [taylor]: Taking taylor expansion of phi1 in phi1 9.680 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 9.680 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.680 * [taylor]: Taking taylor expansion of -1 in phi1 9.680 * [taylor]: Taking taylor expansion of phi2 in phi1 9.680 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 9.680 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 9.680 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.680 * [taylor]: Taking taylor expansion of -1 in phi2 9.680 * [taylor]: Taking taylor expansion of phi1 in phi2 9.680 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 9.680 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.680 * [taylor]: Taking taylor expansion of -1 in phi2 9.680 * [taylor]: Taking taylor expansion of phi2 in phi2 9.680 * [taylor]: Taking taylor expansion of 0 in phi2 9.681 * [taylor]: Taking taylor expansion of 0 in phi2 9.682 * [taylor]: Taking taylor expansion of 0 in phi2 9.682 * * * [progress]: simplifying candidates 9.683 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 9.690 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 9.693 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 9.703 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 9.729 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 9.732 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg 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))) (pow (cos (- lambda1 lambda2)) 3) (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)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (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 (- lambda1 lambda2)) (cos phi2))))) R) (log (* (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))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (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)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (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))))) (* (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 (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos 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 (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 9.732 * * * [progress]: adding candidates to table 9.818 * * [progress]: iteration 2 / 4 9.818 * * * [progress]: picking best candidate 9.875 * * * * [pick]: Picked # 9.875 * * * [progress]: localizing error 9.907 * * * [progress]: generating rewritten candidates 9.907 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 9.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 9.916 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.923 * * * [progress]: generating series expansions 9.923 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.924 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.924 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 9.924 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 9.925 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 9.925 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 9.925 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 9.926 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 9.926 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 9.926 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 9.927 * [taylor]: Taking taylor expansion of 0 in phi2 9.927 * [taylor]: Taking taylor expansion of 0 in lambda1 9.927 * [taylor]: Taking taylor expansion of 0 in lambda2 9.927 * [taylor]: Taking taylor expansion of 0 in lambda1 9.927 * [taylor]: Taking taylor expansion of 0 in lambda2 9.927 * [taylor]: Taking taylor expansion of 0 in lambda2 9.927 * [taylor]: Taking taylor expansion of 0 in phi2 9.927 * [taylor]: Taking taylor expansion of 0 in lambda1 9.927 * [taylor]: Taking taylor expansion of 0 in lambda2 9.927 * [taylor]: Taking taylor expansion of 0 in lambda1 9.927 * [taylor]: Taking taylor expansion of 0 in lambda2 9.928 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 9.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 9.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 9.929 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 9.929 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 9.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 9.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 9.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 9.931 * [taylor]: Taking taylor expansion of 0 in phi2 9.931 * [taylor]: Taking taylor expansion of 0 in lambda1 9.931 * [taylor]: Taking taylor expansion of 0 in lambda2 9.931 * [taylor]: Taking taylor expansion of 0 in lambda1 9.931 * [taylor]: Taking taylor expansion of 0 in lambda2 9.931 * [taylor]: Taking taylor expansion of 0 in lambda2 9.931 * [taylor]: Taking taylor expansion of 0 in phi2 9.931 * [taylor]: Taking taylor expansion of 0 in lambda1 9.931 * [taylor]: Taking taylor expansion of 0 in lambda2 9.931 * [taylor]: Taking taylor expansion of 0 in lambda1 9.931 * [taylor]: Taking taylor expansion of 0 in lambda2 9.932 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 9.932 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 9.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 9.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 9.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 9.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 9.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 9.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.935 * [taylor]: Taking taylor expansion of 0 in phi2 9.936 * [taylor]: Taking taylor expansion of 0 in lambda1 9.936 * [taylor]: Taking taylor expansion of 0 in lambda2 9.936 * [taylor]: Taking taylor expansion of 0 in lambda1 9.936 * [taylor]: Taking taylor expansion of 0 in lambda2 9.936 * [taylor]: Taking taylor expansion of 0 in lambda2 9.936 * [taylor]: Taking taylor expansion of 0 in phi2 9.936 * [taylor]: Taking taylor expansion of 0 in lambda1 9.936 * [taylor]: Taking taylor expansion of 0 in lambda2 9.936 * [taylor]: Taking taylor expansion of 0 in lambda1 9.936 * [taylor]: Taking taylor expansion of 0 in lambda2 9.936 * * * * [progress]: [ 2 / 4 ] generating series at (2) 9.937 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 9.937 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 9.937 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 9.937 * [taylor]: Taking taylor expansion of R in R 9.937 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 9.937 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 9.937 * [taylor]: Taking taylor expansion of R in lambda2 9.937 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 9.937 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 9.937 * [taylor]: Taking taylor expansion of R in lambda1 9.937 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 9.937 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 9.938 * [taylor]: Taking taylor expansion of R in phi2 9.938 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 9.938 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 9.938 * [taylor]: Taking taylor expansion of R in phi1 9.938 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 9.938 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 9.938 * [taylor]: Taking taylor expansion of R in phi1 9.939 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 9.939 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 9.939 * [taylor]: Taking taylor expansion of R in phi2 9.939 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 9.939 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 9.940 * [taylor]: Taking taylor expansion of R in lambda1 9.940 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 9.940 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 9.940 * [taylor]: Taking taylor expansion of R in lambda2 9.940 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 9.940 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 9.941 * [taylor]: Taking taylor expansion of R in R 9.941 * [taylor]: Taking taylor expansion of 0 in phi2 9.941 * [taylor]: Taking taylor expansion of 0 in lambda1 9.941 * [taylor]: Taking taylor expansion of 0 in lambda2 9.941 * [taylor]: Taking taylor expansion of 0 in R 9.942 * [taylor]: Taking taylor expansion of 0 in lambda1 9.942 * [taylor]: Taking taylor expansion of 0 in lambda2 9.942 * [taylor]: Taking taylor expansion of 0 in R 9.942 * [taylor]: Taking taylor expansion of 0 in lambda2 9.942 * [taylor]: Taking taylor expansion of 0 in R 9.942 * [taylor]: Taking taylor expansion of 0 in R 9.943 * [taylor]: Taking taylor expansion of 0 in phi2 9.943 * [taylor]: Taking taylor expansion of 0 in lambda1 9.943 * [taylor]: Taking taylor expansion of 0 in lambda2 9.943 * [taylor]: Taking taylor expansion of 0 in R 9.943 * [taylor]: Taking taylor expansion of 0 in lambda1 9.943 * [taylor]: Taking taylor expansion of 0 in lambda2 9.943 * [taylor]: Taking taylor expansion of 0 in R 9.944 * [taylor]: Taking taylor expansion of 0 in lambda1 9.944 * [taylor]: Taking taylor expansion of 0 in lambda2 9.944 * [taylor]: Taking taylor expansion of 0 in R 9.944 * [taylor]: Taking taylor expansion of 0 in lambda2 9.944 * [taylor]: Taking taylor expansion of 0 in R 9.944 * [taylor]: Taking taylor expansion of 0 in lambda2 9.944 * [taylor]: Taking taylor expansion of 0 in R 9.944 * [taylor]: Taking taylor expansion of 0 in lambda2 9.944 * [taylor]: Taking taylor expansion of 0 in R 9.945 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 9.945 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 9.945 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 9.945 * [taylor]: Taking taylor expansion of R in R 9.946 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 9.946 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 9.946 * [taylor]: Taking taylor expansion of R in lambda2 9.946 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 9.946 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 9.947 * [taylor]: Taking taylor expansion of R in lambda1 9.947 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 9.947 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 9.947 * [taylor]: Taking taylor expansion of R in phi2 9.948 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 9.948 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 9.948 * [taylor]: Taking taylor expansion of R in phi1 9.948 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 9.948 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 9.949 * [taylor]: Taking taylor expansion of R in phi1 9.949 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 9.949 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 9.950 * [taylor]: Taking taylor expansion of R in phi2 9.950 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 9.950 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 9.950 * [taylor]: Taking taylor expansion of R in lambda1 9.951 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 9.951 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 9.951 * [taylor]: Taking taylor expansion of R in lambda2 9.951 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 9.952 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 9.952 * [taylor]: Taking taylor expansion of R in R 9.953 * [taylor]: Taking taylor expansion of 0 in phi2 9.953 * [taylor]: Taking taylor expansion of 0 in lambda1 9.953 * [taylor]: Taking taylor expansion of 0 in lambda2 9.953 * [taylor]: Taking taylor expansion of 0 in R 9.954 * [taylor]: Taking taylor expansion of 0 in lambda1 9.954 * [taylor]: Taking taylor expansion of 0 in lambda2 9.954 * [taylor]: Taking taylor expansion of 0 in R 9.954 * [taylor]: Taking taylor expansion of 0 in lambda2 9.954 * [taylor]: Taking taylor expansion of 0 in R 9.954 * [taylor]: Taking taylor expansion of 0 in R 9.955 * [taylor]: Taking taylor expansion of 0 in phi2 9.955 * [taylor]: Taking taylor expansion of 0 in lambda1 9.955 * [taylor]: Taking taylor expansion of 0 in lambda2 9.955 * [taylor]: Taking taylor expansion of 0 in R 9.955 * [taylor]: Taking taylor expansion of 0 in lambda1 9.955 * [taylor]: Taking taylor expansion of 0 in lambda2 9.955 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in lambda1 9.956 * [taylor]: Taking taylor expansion of 0 in lambda2 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in lambda2 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in lambda2 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in lambda2 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.956 * [taylor]: Taking taylor expansion of 0 in R 9.957 * [taylor]: Taking taylor expansion of 0 in R 9.958 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 9.958 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 9.958 * [taylor]: Taking taylor expansion of -1 in R 9.958 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 9.958 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 9.959 * [taylor]: Taking taylor expansion of R in R 9.959 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 9.959 * [taylor]: Taking taylor expansion of -1 in lambda2 9.959 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 9.959 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.959 * [taylor]: Taking taylor expansion of R in lambda2 9.960 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 9.960 * [taylor]: Taking taylor expansion of -1 in lambda1 9.960 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 9.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 9.960 * [taylor]: Taking taylor expansion of R in lambda1 9.961 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 9.961 * [taylor]: Taking taylor expansion of -1 in phi2 9.961 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 9.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 9.961 * [taylor]: Taking taylor expansion of R in phi2 9.961 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 9.961 * [taylor]: Taking taylor expansion of -1 in phi1 9.961 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 9.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 9.962 * [taylor]: Taking taylor expansion of R in phi1 9.962 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 9.962 * [taylor]: Taking taylor expansion of -1 in phi1 9.962 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 9.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 9.963 * [taylor]: Taking taylor expansion of R in phi1 9.963 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 9.963 * [taylor]: Taking taylor expansion of -1 in phi2 9.963 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 9.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 9.964 * [taylor]: Taking taylor expansion of R in phi2 9.964 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 9.964 * [taylor]: Taking taylor expansion of -1 in lambda1 9.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 9.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 9.965 * [taylor]: Taking taylor expansion of R in lambda1 9.966 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 9.966 * [taylor]: Taking taylor expansion of -1 in lambda2 9.966 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 9.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.966 * [taylor]: Taking taylor expansion of R in lambda2 9.967 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 9.967 * [taylor]: Taking taylor expansion of -1 in R 9.967 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 9.967 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 9.967 * [taylor]: Taking taylor expansion of R in R 9.969 * [taylor]: Taking taylor expansion of 0 in phi2 9.969 * [taylor]: Taking taylor expansion of 0 in lambda1 9.969 * [taylor]: Taking taylor expansion of 0 in lambda2 9.969 * [taylor]: Taking taylor expansion of 0 in R 9.970 * [taylor]: Taking taylor expansion of 0 in lambda1 9.970 * [taylor]: Taking taylor expansion of 0 in lambda2 9.970 * [taylor]: Taking taylor expansion of 0 in R 9.971 * [taylor]: Taking taylor expansion of 0 in lambda2 9.971 * [taylor]: Taking taylor expansion of 0 in R 9.972 * [taylor]: Taking taylor expansion of 0 in R 9.973 * [taylor]: Taking taylor expansion of 0 in phi2 9.973 * [taylor]: Taking taylor expansion of 0 in lambda1 9.973 * [taylor]: Taking taylor expansion of 0 in lambda2 9.973 * [taylor]: Taking taylor expansion of 0 in R 9.973 * [taylor]: Taking taylor expansion of 0 in lambda1 9.973 * [taylor]: Taking taylor expansion of 0 in lambda2 9.973 * [taylor]: Taking taylor expansion of 0 in R 9.974 * [taylor]: Taking taylor expansion of 0 in lambda1 9.974 * [taylor]: Taking taylor expansion of 0 in lambda2 9.974 * [taylor]: Taking taylor expansion of 0 in R 9.974 * [taylor]: Taking taylor expansion of 0 in lambda2 9.974 * [taylor]: Taking taylor expansion of 0 in R 9.974 * [taylor]: Taking taylor expansion of 0 in lambda2 9.974 * [taylor]: Taking taylor expansion of 0 in R 9.975 * [taylor]: Taking taylor expansion of 0 in lambda2 9.975 * [taylor]: Taking taylor expansion of 0 in R 9.975 * [taylor]: Taking taylor expansion of 0 in R 9.975 * [taylor]: Taking taylor expansion of 0 in R 9.975 * [taylor]: Taking taylor expansion of 0 in R 9.976 * [taylor]: Taking taylor expansion of 0 in R 9.977 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 9.977 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 9.977 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 9.977 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 9.977 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.977 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.977 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.977 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.977 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.977 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.977 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.977 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.978 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.978 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.978 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.978 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.978 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.978 * [taylor]: Taking taylor expansion of 0 in lambda2 9.978 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.978 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.978 * [taylor]: Taking taylor expansion of 0 in lambda2 9.979 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 9.979 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 9.979 * [taylor]: Taking taylor expansion of 1/6 in lambda2 9.979 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.979 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.980 * [taylor]: Taking taylor expansion of 0 in lambda2 9.980 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 9.980 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 9.980 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.980 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.980 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.980 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.980 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.980 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.981 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 9.981 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.981 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.981 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.981 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.981 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.981 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.981 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 9.981 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.981 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.981 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.981 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.981 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.981 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.981 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 9.981 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.981 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.981 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.981 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.981 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.981 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.982 * [taylor]: Taking taylor expansion of 0 in lambda2 9.982 * [taylor]: Taking taylor expansion of 0 in lambda2 9.983 * [taylor]: Taking taylor expansion of 0 in lambda2 9.983 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 9.983 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 9.983 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.983 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.983 * [taylor]: Taking taylor expansion of -1 in lambda2 9.983 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.984 * [taylor]: Taking taylor expansion of -1 in lambda2 9.984 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.984 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.984 * [taylor]: Taking taylor expansion of -1 in lambda1 9.984 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.984 * [taylor]: Taking taylor expansion of -1 in lambda1 9.984 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.984 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.984 * [taylor]: Taking taylor expansion of -1 in lambda1 9.984 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.984 * [taylor]: Taking taylor expansion of -1 in lambda1 9.984 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.984 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.984 * [taylor]: Taking taylor expansion of -1 in lambda2 9.984 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.984 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.984 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.984 * [taylor]: Taking taylor expansion of -1 in lambda2 9.984 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.985 * [taylor]: Taking taylor expansion of 0 in lambda2 9.986 * [taylor]: Taking taylor expansion of 0 in lambda2 9.986 * [taylor]: Taking taylor expansion of 0 in lambda2 9.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 9.987 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 9.987 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 9.987 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 9.987 * [taylor]: Taking taylor expansion of phi1 in phi2 9.987 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.987 * [taylor]: Taking taylor expansion of phi2 in phi2 9.987 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 9.987 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 9.987 * [taylor]: Taking taylor expansion of phi1 in phi1 9.987 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 9.987 * [taylor]: Taking taylor expansion of phi2 in phi1 9.987 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 9.987 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 9.987 * [taylor]: Taking taylor expansion of phi1 in phi1 9.987 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 9.987 * [taylor]: Taking taylor expansion of phi2 in phi1 9.987 * [taylor]: Taking taylor expansion of 0 in phi2 9.987 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.987 * [taylor]: Taking taylor expansion of phi2 in phi2 9.988 * [taylor]: Taking taylor expansion of 0 in phi2 9.988 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 9.988 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 9.988 * [taylor]: Taking taylor expansion of 1/6 in phi2 9.988 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.988 * [taylor]: Taking taylor expansion of phi2 in phi2 9.989 * [taylor]: Taking taylor expansion of 0 in phi2 9.989 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 9.989 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 9.989 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 9.989 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.989 * [taylor]: Taking taylor expansion of phi1 in phi2 9.989 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.990 * [taylor]: Taking taylor expansion of phi2 in phi2 9.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 9.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.990 * [taylor]: Taking taylor expansion of phi1 in phi1 9.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.990 * [taylor]: Taking taylor expansion of phi2 in phi1 9.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 9.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.990 * [taylor]: Taking taylor expansion of phi1 in phi1 9.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.990 * [taylor]: Taking taylor expansion of phi2 in phi1 9.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 9.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.990 * [taylor]: Taking taylor expansion of phi1 in phi2 9.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 9.990 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.990 * [taylor]: Taking taylor expansion of phi2 in phi2 9.991 * [taylor]: Taking taylor expansion of 0 in phi2 9.991 * [taylor]: Taking taylor expansion of 0 in phi2 9.992 * [taylor]: Taking taylor expansion of 0 in phi2 9.992 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 9.992 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 9.992 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 9.992 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.992 * [taylor]: Taking taylor expansion of -1 in phi2 9.993 * [taylor]: Taking taylor expansion of phi1 in phi2 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.993 * [taylor]: Taking taylor expansion of -1 in phi2 9.993 * [taylor]: Taking taylor expansion of phi2 in phi2 9.993 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.993 * [taylor]: Taking taylor expansion of -1 in phi1 9.993 * [taylor]: Taking taylor expansion of phi1 in phi1 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.993 * [taylor]: Taking taylor expansion of -1 in phi1 9.993 * [taylor]: Taking taylor expansion of phi2 in phi1 9.993 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.993 * [taylor]: Taking taylor expansion of -1 in phi1 9.993 * [taylor]: Taking taylor expansion of phi1 in phi1 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.993 * [taylor]: Taking taylor expansion of -1 in phi1 9.993 * [taylor]: Taking taylor expansion of phi2 in phi1 9.993 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.993 * [taylor]: Taking taylor expansion of -1 in phi2 9.993 * [taylor]: Taking taylor expansion of phi1 in phi2 9.993 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 9.993 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.993 * [taylor]: Taking taylor expansion of -1 in phi2 9.994 * [taylor]: Taking taylor expansion of phi2 in phi2 9.994 * [taylor]: Taking taylor expansion of 0 in phi2 9.995 * [taylor]: Taking taylor expansion of 0 in phi2 9.996 * [taylor]: Taking taylor expansion of 0 in phi2 9.996 * * * [progress]: simplifying candidates 9.997 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 10.004 * * [simplify]: iteration 0 : 260 enodes (cost 929 ) 10.008 * * [simplify]: iteration 1 : 831 enodes (cost 774 ) 10.022 * * [simplify]: iteration 2 : 1930 enodes (cost 774 ) 10.043 * * [simplify]: iteration 3 : 3056 enodes (cost 774 ) 10.072 * * [simplify]: iteration 4 : 5001 enodes (cost 774 ) 10.076 * [simplify]: Simplified to: (/ 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))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 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)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (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)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (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)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (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) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos 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)))))) 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) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 10.076 * * * [progress]: adding candidates to table 10.162 * * [progress]: iteration 3 / 4 10.162 * * * [progress]: picking best candidate 10.250 * * * * [pick]: Picked # 10.250 * * * [progress]: localizing error 10.285 * * * [progress]: generating rewritten candidates 10.285 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 10.288 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 10.294 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.298 * * * [progress]: generating series expansions 10.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 10.299 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 10.299 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.299 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.299 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.299 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.299 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.299 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.299 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.299 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.299 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.299 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.299 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.299 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.299 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.299 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.299 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.299 * [taylor]: Taking taylor expansion of 0 in lambda2 10.299 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.299 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.300 * [taylor]: Taking taylor expansion of 0 in lambda2 10.300 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 10.300 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 10.300 * [taylor]: Taking taylor expansion of 1/6 in lambda2 10.300 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.300 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.301 * [taylor]: Taking taylor expansion of 0 in lambda2 10.301 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 10.301 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.301 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.301 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.301 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.302 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.302 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.302 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.302 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.302 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.302 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.302 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.302 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.302 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.302 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.302 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.302 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.303 * [taylor]: Taking taylor expansion of 0 in lambda2 10.304 * [taylor]: Taking taylor expansion of 0 in lambda2 10.305 * [taylor]: Taking taylor expansion of 0 in lambda2 10.305 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 10.305 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.305 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.305 * [taylor]: Taking taylor expansion of -1 in lambda2 10.305 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.305 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.305 * [taylor]: Taking taylor expansion of -1 in lambda2 10.305 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.305 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.305 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.305 * [taylor]: Taking taylor expansion of -1 in lambda1 10.305 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.305 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.305 * [taylor]: Taking taylor expansion of -1 in lambda1 10.305 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.305 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.305 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.305 * [taylor]: Taking taylor expansion of -1 in lambda1 10.305 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.305 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.305 * [taylor]: Taking taylor expansion of -1 in lambda1 10.305 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.306 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.306 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.306 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.306 * [taylor]: Taking taylor expansion of -1 in lambda2 10.306 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.306 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.306 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.306 * [taylor]: Taking taylor expansion of -1 in lambda2 10.306 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.306 * [taylor]: Taking taylor expansion of 0 in lambda2 10.307 * [taylor]: Taking taylor expansion of 0 in lambda2 10.308 * [taylor]: Taking taylor expansion of 0 in lambda2 10.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.308 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.308 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.311 * [taylor]: Taking taylor expansion of 0 in phi2 10.311 * [taylor]: Taking taylor expansion of 0 in lambda1 10.311 * [taylor]: Taking taylor expansion of 0 in lambda2 10.311 * [taylor]: Taking taylor expansion of 0 in lambda1 10.311 * [taylor]: Taking taylor expansion of 0 in lambda2 10.311 * [taylor]: Taking taylor expansion of 0 in lambda2 10.311 * [taylor]: Taking taylor expansion of 0 in phi2 10.311 * [taylor]: Taking taylor expansion of 0 in lambda1 10.311 * [taylor]: Taking taylor expansion of 0 in lambda2 10.311 * [taylor]: Taking taylor expansion of 0 in lambda1 10.311 * [taylor]: Taking taylor expansion of 0 in lambda2 10.312 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.313 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.313 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.315 * [taylor]: Taking taylor expansion of 0 in phi2 10.315 * [taylor]: Taking taylor expansion of 0 in lambda1 10.315 * [taylor]: Taking taylor expansion of 0 in lambda2 10.315 * [taylor]: Taking taylor expansion of 0 in lambda1 10.315 * [taylor]: Taking taylor expansion of 0 in lambda2 10.315 * [taylor]: Taking taylor expansion of 0 in lambda2 10.315 * [taylor]: Taking taylor expansion of 0 in phi2 10.315 * [taylor]: Taking taylor expansion of 0 in lambda1 10.315 * [taylor]: Taking taylor expansion of 0 in lambda2 10.315 * [taylor]: Taking taylor expansion of 0 in lambda1 10.315 * [taylor]: Taking taylor expansion of 0 in lambda2 10.316 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 10.316 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.317 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.317 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.317 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.318 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.318 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.318 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.319 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.320 * [taylor]: Taking taylor expansion of 0 in phi2 10.320 * [taylor]: Taking taylor expansion of 0 in lambda1 10.320 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * [taylor]: Taking taylor expansion of 0 in lambda1 10.320 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * [taylor]: Taking taylor expansion of 0 in phi2 10.320 * [taylor]: Taking taylor expansion of 0 in lambda1 10.320 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * [taylor]: Taking taylor expansion of 0 in lambda1 10.320 * [taylor]: Taking taylor expansion of 0 in lambda2 10.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 10.320 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 10.320 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 10.320 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.320 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.321 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.321 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.321 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 10.321 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.321 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.321 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.321 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.321 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.321 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 10.321 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.321 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.321 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.321 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.321 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.322 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 10.322 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.322 * [taylor]: Taking taylor expansion of 0 in lambda2 10.323 * [taylor]: Taking taylor expansion of (neg (* 1/2 (pow (sin lambda2) 3))) in lambda2 10.323 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 10.323 * [taylor]: Taking taylor expansion of 1/2 in lambda2 10.323 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 10.323 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.324 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 10.324 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 10.324 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.324 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.325 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.325 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 10.325 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.325 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.325 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.325 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.325 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.325 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.325 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 10.325 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.325 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.325 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.325 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.325 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.325 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.325 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.326 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 10.326 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 10.326 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.326 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.326 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 10.326 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.326 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.327 * [taylor]: Taking taylor expansion of 0 in lambda2 10.328 * [taylor]: Taking taylor expansion of 0 in lambda2 10.330 * [taylor]: Taking taylor expansion of 0 in lambda2 10.330 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 10.330 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 10.330 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.330 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.330 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.330 * [taylor]: Taking taylor expansion of -1 in lambda2 10.330 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.330 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.330 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.330 * [taylor]: Taking taylor expansion of -1 in lambda2 10.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.331 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 10.331 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.331 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.331 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.331 * [taylor]: Taking taylor expansion of -1 in lambda1 10.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.331 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.331 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.331 * [taylor]: Taking taylor expansion of -1 in lambda1 10.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.331 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 10.331 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.331 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.331 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.331 * [taylor]: Taking taylor expansion of -1 in lambda1 10.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.331 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.331 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.331 * [taylor]: Taking taylor expansion of -1 in lambda1 10.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.332 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 10.332 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 10.332 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.332 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.332 * [taylor]: Taking taylor expansion of -1 in lambda2 10.332 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.332 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 10.332 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.332 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.332 * [taylor]: Taking taylor expansion of -1 in lambda2 10.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.333 * [taylor]: Taking taylor expansion of 0 in lambda2 10.334 * [taylor]: Taking taylor expansion of 0 in lambda2 10.336 * [taylor]: Taking taylor expansion of 0 in lambda2 10.336 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.336 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 10.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 10.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 10.337 * [taylor]: Taking taylor expansion of R in R 10.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 10.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.337 * [taylor]: Taking taylor expansion of R in lambda2 10.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 10.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.337 * [taylor]: Taking taylor expansion of R in lambda1 10.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 10.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.338 * [taylor]: Taking taylor expansion of R in phi2 10.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 10.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.338 * [taylor]: Taking taylor expansion of R in phi1 10.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 10.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.340 * [taylor]: Taking taylor expansion of R in phi1 10.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 10.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.341 * [taylor]: Taking taylor expansion of R in phi2 10.341 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 10.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.341 * [taylor]: Taking taylor expansion of R in lambda1 10.342 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 10.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.342 * [taylor]: Taking taylor expansion of R in lambda2 10.342 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 10.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 10.342 * [taylor]: Taking taylor expansion of R in R 10.343 * [taylor]: Taking taylor expansion of 0 in phi2 10.343 * [taylor]: Taking taylor expansion of 0 in lambda1 10.343 * [taylor]: Taking taylor expansion of 0 in lambda2 10.343 * [taylor]: Taking taylor expansion of 0 in R 10.343 * [taylor]: Taking taylor expansion of 0 in lambda1 10.343 * [taylor]: Taking taylor expansion of 0 in lambda2 10.343 * [taylor]: Taking taylor expansion of 0 in R 10.344 * [taylor]: Taking taylor expansion of 0 in lambda2 10.344 * [taylor]: Taking taylor expansion of 0 in R 10.344 * [taylor]: Taking taylor expansion of 0 in R 10.345 * [taylor]: Taking taylor expansion of 0 in phi2 10.345 * [taylor]: Taking taylor expansion of 0 in lambda1 10.345 * [taylor]: Taking taylor expansion of 0 in lambda2 10.345 * [taylor]: Taking taylor expansion of 0 in R 10.345 * [taylor]: Taking taylor expansion of 0 in lambda1 10.345 * [taylor]: Taking taylor expansion of 0 in lambda2 10.345 * [taylor]: Taking taylor expansion of 0 in R 10.345 * [taylor]: Taking taylor expansion of 0 in lambda1 10.345 * [taylor]: Taking taylor expansion of 0 in lambda2 10.345 * [taylor]: Taking taylor expansion of 0 in R 10.345 * [taylor]: Taking taylor expansion of 0 in lambda2 10.345 * [taylor]: Taking taylor expansion of 0 in R 10.345 * [taylor]: Taking taylor expansion of 0 in lambda2 10.345 * [taylor]: Taking taylor expansion of 0 in R 10.346 * [taylor]: Taking taylor expansion of 0 in lambda2 10.346 * [taylor]: Taking taylor expansion of 0 in R 10.347 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 10.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 10.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 10.347 * [taylor]: Taking taylor expansion of R in R 10.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 10.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.348 * [taylor]: Taking taylor expansion of R in lambda2 10.348 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 10.348 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.348 * [taylor]: Taking taylor expansion of R in lambda1 10.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 10.349 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.349 * [taylor]: Taking taylor expansion of R in phi2 10.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 10.350 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.350 * [taylor]: Taking taylor expansion of R in phi1 10.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 10.350 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.351 * [taylor]: Taking taylor expansion of R in phi1 10.351 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 10.351 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.351 * [taylor]: Taking taylor expansion of R in phi2 10.352 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 10.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.352 * [taylor]: Taking taylor expansion of R in lambda1 10.353 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 10.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.353 * [taylor]: Taking taylor expansion of R in lambda2 10.353 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 10.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 10.354 * [taylor]: Taking taylor expansion of R in R 10.355 * [taylor]: Taking taylor expansion of 0 in phi2 10.355 * [taylor]: Taking taylor expansion of 0 in lambda1 10.355 * [taylor]: Taking taylor expansion of 0 in lambda2 10.355 * [taylor]: Taking taylor expansion of 0 in R 10.356 * [taylor]: Taking taylor expansion of 0 in lambda1 10.356 * [taylor]: Taking taylor expansion of 0 in lambda2 10.356 * [taylor]: Taking taylor expansion of 0 in R 10.356 * [taylor]: Taking taylor expansion of 0 in lambda2 10.356 * [taylor]: Taking taylor expansion of 0 in R 10.356 * [taylor]: Taking taylor expansion of 0 in R 10.357 * [taylor]: Taking taylor expansion of 0 in phi2 10.357 * [taylor]: Taking taylor expansion of 0 in lambda1 10.357 * [taylor]: Taking taylor expansion of 0 in lambda2 10.357 * [taylor]: Taking taylor expansion of 0 in R 10.357 * [taylor]: Taking taylor expansion of 0 in lambda1 10.357 * [taylor]: Taking taylor expansion of 0 in lambda2 10.357 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in lambda1 10.358 * [taylor]: Taking taylor expansion of 0 in lambda2 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in lambda2 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in lambda2 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in lambda2 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.358 * [taylor]: Taking taylor expansion of 0 in R 10.359 * [taylor]: Taking taylor expansion of 0 in R 10.360 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 10.360 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 10.360 * [taylor]: Taking taylor expansion of -1 in R 10.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 10.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 10.361 * [taylor]: Taking taylor expansion of R in R 10.361 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 10.361 * [taylor]: Taking taylor expansion of -1 in lambda2 10.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 10.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.362 * [taylor]: Taking taylor expansion of R in lambda2 10.362 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 10.362 * [taylor]: Taking taylor expansion of -1 in lambda1 10.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 10.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.362 * [taylor]: Taking taylor expansion of R in lambda1 10.363 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 10.363 * [taylor]: Taking taylor expansion of -1 in phi2 10.363 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 10.363 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.363 * [taylor]: Taking taylor expansion of R in phi2 10.364 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 10.364 * [taylor]: Taking taylor expansion of -1 in phi1 10.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 10.364 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.364 * [taylor]: Taking taylor expansion of R in phi1 10.364 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 10.364 * [taylor]: Taking taylor expansion of -1 in phi1 10.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 10.364 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.365 * [taylor]: Taking taylor expansion of R in phi1 10.365 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 10.366 * [taylor]: Taking taylor expansion of -1 in phi2 10.366 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 10.366 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.366 * [taylor]: Taking taylor expansion of R in phi2 10.367 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 10.367 * [taylor]: Taking taylor expansion of -1 in lambda1 10.367 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 10.367 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.367 * [taylor]: Taking taylor expansion of R in lambda1 10.368 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 10.368 * [taylor]: Taking taylor expansion of -1 in lambda2 10.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 10.368 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.368 * [taylor]: Taking taylor expansion of R in lambda2 10.369 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 10.369 * [taylor]: Taking taylor expansion of -1 in R 10.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 10.369 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 10.369 * [taylor]: Taking taylor expansion of R in R 10.371 * [taylor]: Taking taylor expansion of 0 in phi2 10.371 * [taylor]: Taking taylor expansion of 0 in lambda1 10.371 * [taylor]: Taking taylor expansion of 0 in lambda2 10.371 * [taylor]: Taking taylor expansion of 0 in R 10.372 * [taylor]: Taking taylor expansion of 0 in lambda1 10.372 * [taylor]: Taking taylor expansion of 0 in lambda2 10.372 * [taylor]: Taking taylor expansion of 0 in R 10.373 * [taylor]: Taking taylor expansion of 0 in lambda2 10.373 * [taylor]: Taking taylor expansion of 0 in R 10.374 * [taylor]: Taking taylor expansion of 0 in R 10.375 * [taylor]: Taking taylor expansion of 0 in phi2 10.375 * [taylor]: Taking taylor expansion of 0 in lambda1 10.375 * [taylor]: Taking taylor expansion of 0 in lambda2 10.375 * [taylor]: Taking taylor expansion of 0 in R 10.375 * [taylor]: Taking taylor expansion of 0 in lambda1 10.375 * [taylor]: Taking taylor expansion of 0 in lambda2 10.375 * [taylor]: Taking taylor expansion of 0 in R 10.376 * [taylor]: Taking taylor expansion of 0 in lambda1 10.376 * [taylor]: Taking taylor expansion of 0 in lambda2 10.376 * [taylor]: Taking taylor expansion of 0 in R 10.376 * [taylor]: Taking taylor expansion of 0 in lambda2 10.376 * [taylor]: Taking taylor expansion of 0 in R 10.376 * [taylor]: Taking taylor expansion of 0 in lambda2 10.376 * [taylor]: Taking taylor expansion of 0 in R 10.377 * [taylor]: Taking taylor expansion of 0 in lambda2 10.377 * [taylor]: Taking taylor expansion of 0 in R 10.377 * [taylor]: Taking taylor expansion of 0 in R 10.377 * [taylor]: Taking taylor expansion of 0 in R 10.377 * [taylor]: Taking taylor expansion of 0 in R 10.378 * [taylor]: Taking taylor expansion of 0 in R 10.379 * * * [progress]: simplifying candidates 10.381 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (exp (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (pow (* (sin lambda1) (sin lambda2)) 1) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) (pow 2 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 10.386 * * [simplify]: iteration 0 : 285 enodes (cost 1038 ) 10.392 * * [simplify]: iteration 1 : 1031 enodes (cost 891 ) 10.416 * * [simplify]: iteration 2 : 4820 enodes (cost 890 ) 10.560 * * [simplify]: iteration 3 : 5001 enodes (cost 890 ) 10.564 * [simplify]: Simplified to: (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (sin lambda1) (sin lambda2) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (* (sin lambda1) (sin lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 1/2) (pow (* (sin lambda1) (sin lambda2)) 1/2) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) 3 3 (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (* (sin lambda1) (sin lambda2)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (* (sin lambda1) (sin lambda2)) 2) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (pow (pow (* (sin lambda1) (sin lambda2)) 3) 3) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin lambda2)) 2) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3/2) (pow (* (sin lambda1) (sin lambda2)) 3/2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (+ (* (pow lambda2 3) (- (pow lambda1 3) (* (pow lambda1 5) 1/2))) (* -1/2 (* (pow lambda2 5) (pow lambda1 3)))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) 10.565 * * * [progress]: adding candidates to table 10.682 * * [progress]: iteration 4 / 4 10.682 * * * [progress]: picking best candidate 10.760 * * * * [pick]: Picked # 10.761 * * * [progress]: localizing error 10.800 * * * [progress]: generating rewritten candidates 10.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 10.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 10.804 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.807 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 10.810 * * * [progress]: generating series expansions 10.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2 2) 10.810 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 10.810 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.810 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.810 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.810 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.810 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.810 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.810 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.810 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.810 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.810 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.810 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.810 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.810 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.810 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.810 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.811 * [taylor]: Taking taylor expansion of 0 in lambda2 10.811 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.811 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.811 * [taylor]: Taking taylor expansion of 0 in lambda2 10.812 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 10.812 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 10.812 * [taylor]: Taking taylor expansion of 1/6 in lambda2 10.812 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.812 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.813 * [taylor]: Taking taylor expansion of 0 in lambda2 10.813 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 10.813 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.813 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.813 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.813 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.813 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.813 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.813 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.813 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.813 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.813 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.814 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.814 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.814 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.814 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.814 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.814 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.814 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.814 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.814 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.814 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.814 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.815 * [taylor]: Taking taylor expansion of 0 in lambda2 10.815 * [taylor]: Taking taylor expansion of 0 in lambda2 10.816 * [taylor]: Taking taylor expansion of 0 in lambda2 10.816 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 10.816 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.816 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.816 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.816 * [taylor]: Taking taylor expansion of -1 in lambda2 10.816 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.816 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.816 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.816 * [taylor]: Taking taylor expansion of -1 in lambda2 10.816 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.816 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.817 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.817 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.817 * [taylor]: Taking taylor expansion of -1 in lambda1 10.817 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.817 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.817 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.817 * [taylor]: Taking taylor expansion of -1 in lambda1 10.817 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.817 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.817 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.817 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.817 * [taylor]: Taking taylor expansion of -1 in lambda1 10.817 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.817 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.817 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.817 * [taylor]: Taking taylor expansion of -1 in lambda1 10.817 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.817 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.817 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.817 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.817 * [taylor]: Taking taylor expansion of -1 in lambda2 10.817 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.817 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.817 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.817 * [taylor]: Taking taylor expansion of -1 in lambda2 10.817 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.818 * [taylor]: Taking taylor expansion of 0 in lambda2 10.818 * [taylor]: Taking taylor expansion of 0 in lambda2 10.819 * [taylor]: Taking taylor expansion of 0 in lambda2 10.819 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 10.820 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.820 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.820 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.820 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.821 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.822 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.822 * [taylor]: Taking taylor expansion of 0 in phi2 10.822 * [taylor]: Taking taylor expansion of 0 in lambda1 10.822 * [taylor]: Taking taylor expansion of 0 in lambda2 10.822 * [taylor]: Taking taylor expansion of 0 in lambda1 10.822 * [taylor]: Taking taylor expansion of 0 in lambda2 10.822 * [taylor]: Taking taylor expansion of 0 in lambda2 10.822 * [taylor]: Taking taylor expansion of 0 in phi2 10.822 * [taylor]: Taking taylor expansion of 0 in lambda1 10.822 * [taylor]: Taking taylor expansion of 0 in lambda2 10.822 * [taylor]: Taking taylor expansion of 0 in lambda1 10.822 * [taylor]: Taking taylor expansion of 0 in lambda2 10.823 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.827 * [taylor]: Taking taylor expansion of 0 in phi2 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [taylor]: Taking taylor expansion of 0 in phi2 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.827 * [taylor]: Taking taylor expansion of 0 in lambda1 10.827 * [taylor]: Taking taylor expansion of 0 in lambda2 10.828 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 10.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.828 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.829 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.830 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.830 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.831 * [taylor]: Taking taylor expansion of 0 in phi2 10.831 * [taylor]: Taking taylor expansion of 0 in lambda1 10.831 * [taylor]: Taking taylor expansion of 0 in lambda2 10.831 * [taylor]: Taking taylor expansion of 0 in lambda1 10.831 * [taylor]: Taking taylor expansion of 0 in lambda2 10.831 * [taylor]: Taking taylor expansion of 0 in lambda2 10.831 * [taylor]: Taking taylor expansion of 0 in phi2 10.831 * [taylor]: Taking taylor expansion of 0 in lambda1 10.831 * [taylor]: Taking taylor expansion of 0 in lambda2 10.831 * [taylor]: Taking taylor expansion of 0 in lambda1 10.831 * [taylor]: Taking taylor expansion of 0 in lambda2 10.832 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 10.832 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.832 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.832 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.833 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.833 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.833 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.833 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.834 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.834 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.835 * [taylor]: Taking taylor expansion of 0 in phi2 10.835 * [taylor]: Taking taylor expansion of 0 in lambda1 10.835 * [taylor]: Taking taylor expansion of 0 in lambda2 10.835 * [taylor]: Taking taylor expansion of 0 in lambda1 10.835 * [taylor]: Taking taylor expansion of 0 in lambda2 10.835 * [taylor]: Taking taylor expansion of 0 in lambda2 10.835 * [taylor]: Taking taylor expansion of 0 in phi2 10.835 * [taylor]: Taking taylor expansion of 0 in lambda1 10.835 * [taylor]: Taking taylor expansion of 0 in lambda2 10.835 * [taylor]: Taking taylor expansion of 0 in lambda1 10.835 * [taylor]: Taking taylor expansion of 0 in lambda2 10.836 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.839 * [taylor]: Taking taylor expansion of 0 in phi2 10.839 * [taylor]: Taking taylor expansion of 0 in lambda1 10.839 * [taylor]: Taking taylor expansion of 0 in lambda2 10.839 * [taylor]: Taking taylor expansion of 0 in lambda1 10.839 * [taylor]: Taking taylor expansion of 0 in lambda2 10.839 * [taylor]: Taking taylor expansion of 0 in lambda2 10.839 * [taylor]: Taking taylor expansion of 0 in phi2 10.839 * [taylor]: Taking taylor expansion of 0 in lambda1 10.839 * [taylor]: Taking taylor expansion of 0 in lambda2 10.839 * [taylor]: Taking taylor expansion of 0 in lambda1 10.839 * [taylor]: Taking taylor expansion of 0 in lambda2 10.840 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 10.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.845 * [taylor]: Taking taylor expansion of 0 in phi2 10.845 * [taylor]: Taking taylor expansion of 0 in lambda1 10.845 * [taylor]: Taking taylor expansion of 0 in lambda2 10.845 * [taylor]: Taking taylor expansion of 0 in lambda1 10.845 * [taylor]: Taking taylor expansion of 0 in lambda2 10.845 * [taylor]: Taking taylor expansion of 0 in lambda2 10.845 * [taylor]: Taking taylor expansion of 0 in phi2 10.845 * [taylor]: Taking taylor expansion of 0 in lambda1 10.845 * [taylor]: Taking taylor expansion of 0 in lambda2 10.845 * [taylor]: Taking taylor expansion of 0 in lambda1 10.845 * [taylor]: Taking taylor expansion of 0 in lambda2 10.846 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 10.846 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.846 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 10.846 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.847 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 10.847 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.848 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 10.848 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.848 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 10.848 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.849 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 10.849 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 10.849 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 10.849 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 10.850 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 10.850 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 10.850 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 10.850 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 10.852 * [taylor]: Taking taylor expansion of 0 in phi2 10.852 * [taylor]: Taking taylor expansion of 0 in lambda1 10.852 * [taylor]: Taking taylor expansion of 0 in lambda2 10.852 * [taylor]: Taking taylor expansion of 0 in lambda1 10.852 * [taylor]: Taking taylor expansion of 0 in lambda2 10.852 * [taylor]: Taking taylor expansion of 0 in lambda2 10.853 * [taylor]: Taking taylor expansion of 0 in phi2 10.853 * [taylor]: Taking taylor expansion of 0 in lambda1 10.853 * [taylor]: Taking taylor expansion of 0 in lambda2 10.853 * [taylor]: Taking taylor expansion of 0 in lambda1 10.853 * [taylor]: Taking taylor expansion of 0 in lambda2 10.854 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.854 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 10.854 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.855 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 10.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.855 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 10.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.856 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 10.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.857 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 10.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 10.858 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 10.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 10.858 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 10.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 10.859 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 10.859 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 10.861 * [taylor]: Taking taylor expansion of 0 in phi2 10.861 * [taylor]: Taking taylor expansion of 0 in lambda1 10.861 * [taylor]: Taking taylor expansion of 0 in lambda2 10.861 * [taylor]: Taking taylor expansion of 0 in lambda1 10.861 * [taylor]: Taking taylor expansion of 0 in lambda2 10.861 * [taylor]: Taking taylor expansion of 0 in lambda2 10.863 * [taylor]: Taking taylor expansion of 0 in phi2 10.863 * [taylor]: Taking taylor expansion of 0 in lambda1 10.863 * [taylor]: Taking taylor expansion of 0 in lambda2 10.863 * [taylor]: Taking taylor expansion of 0 in lambda1 10.863 * [taylor]: Taking taylor expansion of 0 in lambda2 10.864 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 10.864 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 10.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.864 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 10.864 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.865 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 10.865 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.866 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 10.866 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.866 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 10.866 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 10.867 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 10.867 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 10.868 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 10.868 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 10.869 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 10.869 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 10.870 * [taylor]: Taking taylor expansion of 0 in phi2 10.870 * [taylor]: Taking taylor expansion of 0 in lambda1 10.870 * [taylor]: Taking taylor expansion of 0 in lambda2 10.871 * [taylor]: Taking taylor expansion of 0 in lambda1 10.871 * [taylor]: Taking taylor expansion of 0 in lambda2 10.871 * [taylor]: Taking taylor expansion of 0 in lambda2 10.872 * [taylor]: Taking taylor expansion of 0 in phi2 10.872 * [taylor]: Taking taylor expansion of 0 in lambda1 10.872 * [taylor]: Taking taylor expansion of 0 in lambda2 10.872 * [taylor]: Taking taylor expansion of 0 in lambda1 10.872 * [taylor]: Taking taylor expansion of 0 in lambda2 10.873 * * * [progress]: simplifying candidates 10.874 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (exp (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.879 * * [simplify]: iteration 0 : 195 enodes (cost 1202 ) 10.882 * * [simplify]: iteration 1 : 458 enodes (cost 1048 ) 10.888 * * [simplify]: iteration 2 : 889 enodes (cost 1048 ) 10.898 * * [simplify]: iteration 3 : 1698 enodes (cost 1048 ) 10.930 * * [simplify]: iteration 4 : 5002 enodes (cost 1048 ) 10.935 * [simplify]: Simplified to: (+ (log (sin lambda1)) (log (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (sin lambda1) (sin lambda2) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (* (sin lambda1) (sin lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) 1 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) E (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) 3) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) 10.935 * * * [progress]: adding candidates to table 11.066 * [progress]: [Phase 3 of 3] Extracting. 11.066 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 11.085 * * * [regime-changes]: Trying 9 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) phi2 phi1 lambda2 lambda1 R) 11.085 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # #) 11.247 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 11.304 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # #) 11.467 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 11.542 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # #) 11.718 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # #) 11.898 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 12.055 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 12.211 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 12.368 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 12.527 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 12.685 * * * [regime]: Found split indices: #