8.503 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 10.524 * * * [progress]: [2/2] Setting up program. 10.531 * [progress]: [Phase 2 of 3] Improving. 10.531 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 10.533 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 10.534 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 10.535 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 10.536 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 10.537 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 10.537 * * [progress]: iteration 1 / 4 10.537 * * * [progress]: picking best candidate 10.543 * * * * [pick]: Picked # 10.543 * * * [progress]: localizing error 10.573 * * * [progress]: generating rewritten candidates 10.573 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 10.577 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.578 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 10.587 * * * [progress]: generating series expansions 10.587 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 10.587 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 10.587 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 10.587 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 10.587 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.587 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.588 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 10.588 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 10.588 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.588 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.588 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 10.588 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 10.588 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.588 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.588 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 10.588 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 10.588 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.589 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 10.589 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 10.589 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 10.589 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.590 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 10.590 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 10.590 * [taylor]: Taking taylor expansion of 1/2 in lambda2 10.590 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 10.590 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 10.590 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.590 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 10.590 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 10.590 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 10.590 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.590 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.590 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.590 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.591 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 10.591 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 10.591 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.591 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.591 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.591 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.591 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 10.591 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 10.591 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.591 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.591 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.591 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.591 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 10.591 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 10.591 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.591 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.591 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.591 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.591 * [taylor]: Taking taylor expansion of 0 in lambda2 10.591 * [taylor]: Taking taylor expansion of 0 in lambda2 10.591 * [taylor]: Taking taylor expansion of 0 in lambda2 10.592 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 10.592 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 10.592 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.592 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.592 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.592 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 10.592 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.592 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.592 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.592 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 10.592 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.592 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.592 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.592 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 10.592 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.592 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.592 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.592 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.592 * [taylor]: Taking taylor expansion of 0 in lambda2 10.592 * [taylor]: Taking taylor expansion of 0 in lambda2 10.592 * [taylor]: Taking taylor expansion of 0 in lambda2 10.593 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.593 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 10.593 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 10.594 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 10.594 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 10.594 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 10.595 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 10.595 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 10.595 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 10.595 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 10.595 * [taylor]: Taking taylor expansion of 0 in phi2 10.595 * [taylor]: Taking taylor expansion of 0 in lambda1 10.595 * [taylor]: Taking taylor expansion of 0 in lambda2 10.595 * [taylor]: Taking taylor expansion of 0 in lambda1 10.595 * [taylor]: Taking taylor expansion of 0 in lambda2 10.595 * [taylor]: Taking taylor expansion of 0 in lambda2 10.596 * [taylor]: Taking taylor expansion of 0 in phi2 10.596 * [taylor]: Taking taylor expansion of 0 in lambda1 10.596 * [taylor]: Taking taylor expansion of 0 in lambda2 10.596 * [taylor]: Taking taylor expansion of 0 in lambda1 10.596 * [taylor]: Taking taylor expansion of 0 in lambda2 10.596 * [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 10.596 * [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 10.596 * [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 10.596 * [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 10.597 * [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 10.597 * [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 10.597 * [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 10.597 * [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 10.598 * [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 10.598 * [taylor]: Taking taylor expansion of 0 in phi2 10.598 * [taylor]: Taking taylor expansion of 0 in lambda1 10.598 * [taylor]: Taking taylor expansion of 0 in lambda2 10.598 * [taylor]: Taking taylor expansion of 0 in lambda1 10.598 * [taylor]: Taking taylor expansion of 0 in lambda2 10.598 * [taylor]: Taking taylor expansion of 0 in lambda2 10.598 * [taylor]: Taking taylor expansion of 0 in phi2 10.598 * [taylor]: Taking taylor expansion of 0 in lambda1 10.598 * [taylor]: Taking taylor expansion of 0 in lambda2 10.598 * [taylor]: Taking taylor expansion of 0 in lambda1 10.598 * [taylor]: Taking taylor expansion of 0 in lambda2 10.599 * [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 10.599 * [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 10.599 * [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 10.599 * [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 10.599 * [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 10.600 * [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 10.600 * [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 10.600 * [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 10.600 * [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 10.601 * [taylor]: Taking taylor expansion of 0 in phi2 10.601 * [taylor]: Taking taylor expansion of 0 in lambda1 10.601 * [taylor]: Taking taylor expansion of 0 in lambda2 10.601 * [taylor]: Taking taylor expansion of 0 in lambda1 10.601 * [taylor]: Taking taylor expansion of 0 in lambda2 10.601 * [taylor]: Taking taylor expansion of 0 in lambda2 10.601 * [taylor]: Taking taylor expansion of 0 in phi2 10.601 * [taylor]: Taking taylor expansion of 0 in lambda1 10.601 * [taylor]: Taking taylor expansion of 0 in lambda2 10.601 * [taylor]: Taking taylor expansion of 0 in lambda1 10.601 * [taylor]: Taking taylor expansion of 0 in lambda2 10.601 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.602 * [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 10.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 10.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 10.602 * [taylor]: Taking taylor expansion of R in R 10.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 10.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 10.602 * [taylor]: Taking taylor expansion of R in lambda2 10.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 10.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 10.602 * [taylor]: Taking taylor expansion of R in lambda1 10.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 10.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 10.602 * [taylor]: Taking taylor expansion of R in phi2 10.602 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 10.602 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 10.603 * [taylor]: Taking taylor expansion of R in phi1 10.603 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 10.603 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 10.603 * [taylor]: Taking taylor expansion of R in phi1 10.603 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 10.603 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 10.603 * [taylor]: Taking taylor expansion of R in phi2 10.603 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 10.603 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 10.603 * [taylor]: Taking taylor expansion of R in lambda1 10.604 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 10.604 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 10.604 * [taylor]: Taking taylor expansion of R in lambda2 10.604 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 10.604 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 10.604 * [taylor]: Taking taylor expansion of R in R 10.604 * [taylor]: Taking taylor expansion of 0 in phi2 10.604 * [taylor]: Taking taylor expansion of 0 in lambda1 10.604 * [taylor]: Taking taylor expansion of 0 in lambda2 10.605 * [taylor]: Taking taylor expansion of 0 in R 10.605 * [taylor]: Taking taylor expansion of 0 in lambda1 10.605 * [taylor]: Taking taylor expansion of 0 in lambda2 10.605 * [taylor]: Taking taylor expansion of 0 in R 10.605 * [taylor]: Taking taylor expansion of 0 in lambda2 10.605 * [taylor]: Taking taylor expansion of 0 in R 10.605 * [taylor]: Taking taylor expansion of 0 in R 10.606 * [taylor]: Taking taylor expansion of 0 in phi2 10.606 * [taylor]: Taking taylor expansion of 0 in lambda1 10.606 * [taylor]: Taking taylor expansion of 0 in lambda2 10.606 * [taylor]: Taking taylor expansion of 0 in R 10.606 * [taylor]: Taking taylor expansion of 0 in lambda1 10.606 * [taylor]: Taking taylor expansion of 0 in lambda2 10.606 * [taylor]: Taking taylor expansion of 0 in R 10.606 * [taylor]: Taking taylor expansion of 0 in lambda1 10.606 * [taylor]: Taking taylor expansion of 0 in lambda2 10.606 * [taylor]: Taking taylor expansion of 0 in R 10.606 * [taylor]: Taking taylor expansion of 0 in lambda2 10.606 * [taylor]: Taking taylor expansion of 0 in R 10.606 * [taylor]: Taking taylor expansion of 0 in lambda2 10.606 * [taylor]: Taking taylor expansion of 0 in R 10.606 * [taylor]: Taking taylor expansion of 0 in lambda2 10.607 * [taylor]: Taking taylor expansion of 0 in R 10.607 * [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 10.607 * [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 10.607 * [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 10.607 * [taylor]: Taking taylor expansion of R in R 10.608 * [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 10.608 * [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 10.608 * [taylor]: Taking taylor expansion of R in lambda2 10.608 * [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 10.608 * [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 10.608 * [taylor]: Taking taylor expansion of R in lambda1 10.608 * [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 10.608 * [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 10.609 * [taylor]: Taking taylor expansion of R in phi2 10.609 * [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 10.609 * [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 10.609 * [taylor]: Taking taylor expansion of R in phi1 10.609 * [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 10.609 * [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 10.610 * [taylor]: Taking taylor expansion of R in phi1 10.610 * [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 10.610 * [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 10.610 * [taylor]: Taking taylor expansion of R in phi2 10.610 * [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 10.610 * [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 10.611 * [taylor]: Taking taylor expansion of R in lambda1 10.611 * [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 10.611 * [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 10.611 * [taylor]: Taking taylor expansion of R in lambda2 10.611 * [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 10.611 * [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 10.611 * [taylor]: Taking taylor expansion of R in R 10.612 * [taylor]: Taking taylor expansion of 0 in phi2 10.612 * [taylor]: Taking taylor expansion of 0 in lambda1 10.612 * [taylor]: Taking taylor expansion of 0 in lambda2 10.612 * [taylor]: Taking taylor expansion of 0 in R 10.613 * [taylor]: Taking taylor expansion of 0 in lambda1 10.613 * [taylor]: Taking taylor expansion of 0 in lambda2 10.613 * [taylor]: Taking taylor expansion of 0 in R 10.613 * [taylor]: Taking taylor expansion of 0 in lambda2 10.613 * [taylor]: Taking taylor expansion of 0 in R 10.613 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in phi2 10.614 * [taylor]: Taking taylor expansion of 0 in lambda1 10.614 * [taylor]: Taking taylor expansion of 0 in lambda2 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in lambda1 10.614 * [taylor]: Taking taylor expansion of 0 in lambda2 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in lambda1 10.614 * [taylor]: Taking taylor expansion of 0 in lambda2 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in lambda2 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in lambda2 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in lambda2 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.614 * [taylor]: Taking taylor expansion of 0 in R 10.615 * [taylor]: Taking taylor expansion of 0 in R 10.615 * [taylor]: Taking taylor expansion of 0 in R 10.615 * [taylor]: Taking taylor expansion of 0 in R 10.616 * [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 10.616 * [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 10.616 * [taylor]: Taking taylor expansion of -1 in R 10.616 * [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 10.616 * [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 10.616 * [taylor]: Taking taylor expansion of R in R 10.616 * [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 10.616 * [taylor]: Taking taylor expansion of -1 in lambda2 10.616 * [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 10.616 * [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 10.617 * [taylor]: Taking taylor expansion of R in lambda2 10.617 * [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 10.617 * [taylor]: Taking taylor expansion of -1 in lambda1 10.617 * [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 10.617 * [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 10.617 * [taylor]: Taking taylor expansion of R in lambda1 10.617 * [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 10.617 * [taylor]: Taking taylor expansion of -1 in phi2 10.617 * [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 10.617 * [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 10.617 * [taylor]: Taking taylor expansion of R in phi2 10.618 * [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 10.618 * [taylor]: Taking taylor expansion of -1 in phi1 10.618 * [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 10.618 * [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 10.618 * [taylor]: Taking taylor expansion of R in phi1 10.618 * [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 10.618 * [taylor]: Taking taylor expansion of -1 in phi1 10.618 * [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 10.618 * [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 10.618 * [taylor]: Taking taylor expansion of R in phi1 10.619 * [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 10.619 * [taylor]: Taking taylor expansion of -1 in phi2 10.619 * [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 10.619 * [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 10.619 * [taylor]: Taking taylor expansion of R in phi2 10.620 * [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 10.620 * [taylor]: Taking taylor expansion of -1 in lambda1 10.620 * [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 10.620 * [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 10.620 * [taylor]: Taking taylor expansion of R in lambda1 10.620 * [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 10.620 * [taylor]: Taking taylor expansion of -1 in lambda2 10.620 * [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 10.620 * [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 10.621 * [taylor]: Taking taylor expansion of R in lambda2 10.621 * [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 10.621 * [taylor]: Taking taylor expansion of -1 in R 10.621 * [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 10.621 * [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 10.621 * [taylor]: Taking taylor expansion of R in R 10.623 * [taylor]: Taking taylor expansion of 0 in phi2 10.623 * [taylor]: Taking taylor expansion of 0 in lambda1 10.623 * [taylor]: Taking taylor expansion of 0 in lambda2 10.623 * [taylor]: Taking taylor expansion of 0 in R 10.623 * [taylor]: Taking taylor expansion of 0 in lambda1 10.623 * [taylor]: Taking taylor expansion of 0 in lambda2 10.623 * [taylor]: Taking taylor expansion of 0 in R 10.624 * [taylor]: Taking taylor expansion of 0 in lambda2 10.624 * [taylor]: Taking taylor expansion of 0 in R 10.624 * [taylor]: Taking taylor expansion of 0 in R 10.625 * [taylor]: Taking taylor expansion of 0 in phi2 10.625 * [taylor]: Taking taylor expansion of 0 in lambda1 10.625 * [taylor]: Taking taylor expansion of 0 in lambda2 10.625 * [taylor]: Taking taylor expansion of 0 in R 10.625 * [taylor]: Taking taylor expansion of 0 in lambda1 10.625 * [taylor]: Taking taylor expansion of 0 in lambda2 10.625 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in lambda1 10.626 * [taylor]: Taking taylor expansion of 0 in lambda2 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in lambda2 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in lambda2 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in lambda2 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.626 * [taylor]: Taking taylor expansion of 0 in R 10.627 * [taylor]: Taking taylor expansion of 0 in R 10.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.628 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 10.628 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 10.628 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 10.628 * [taylor]: Taking taylor expansion of phi1 in phi2 10.628 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.628 * [taylor]: Taking taylor expansion of phi2 in phi2 10.628 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.628 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.628 * [taylor]: Taking taylor expansion of phi1 in phi1 10.628 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.628 * [taylor]: Taking taylor expansion of phi2 in phi1 10.628 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.628 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.628 * [taylor]: Taking taylor expansion of phi1 in phi1 10.628 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.628 * [taylor]: Taking taylor expansion of phi2 in phi1 10.629 * [taylor]: Taking taylor expansion of 0 in phi2 10.629 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.629 * [taylor]: Taking taylor expansion of phi2 in phi2 10.629 * [taylor]: Taking taylor expansion of 0 in phi2 10.630 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 10.630 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 10.630 * [taylor]: Taking taylor expansion of 1/6 in phi2 10.630 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.630 * [taylor]: Taking taylor expansion of phi2 in phi2 10.631 * [taylor]: Taking taylor expansion of 0 in phi2 10.631 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 10.631 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 10.631 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.631 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.631 * [taylor]: Taking taylor expansion of phi1 in phi2 10.631 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.631 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.631 * [taylor]: Taking taylor expansion of phi2 in phi2 10.631 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 10.631 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.631 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.631 * [taylor]: Taking taylor expansion of phi1 in phi1 10.631 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.631 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.632 * [taylor]: Taking taylor expansion of phi2 in phi1 10.632 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 10.632 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.632 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.632 * [taylor]: Taking taylor expansion of phi1 in phi1 10.632 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.632 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.632 * [taylor]: Taking taylor expansion of phi2 in phi1 10.632 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 10.632 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.632 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.632 * [taylor]: Taking taylor expansion of phi1 in phi2 10.632 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.632 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.632 * [taylor]: Taking taylor expansion of phi2 in phi2 10.633 * [taylor]: Taking taylor expansion of 0 in phi2 10.633 * [taylor]: Taking taylor expansion of 0 in phi2 10.634 * [taylor]: Taking taylor expansion of 0 in phi2 10.634 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 10.634 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.634 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.634 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.634 * [taylor]: Taking taylor expansion of -1 in phi2 10.634 * [taylor]: Taking taylor expansion of phi1 in phi2 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.635 * [taylor]: Taking taylor expansion of -1 in phi2 10.635 * [taylor]: Taking taylor expansion of phi2 in phi2 10.635 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.635 * [taylor]: Taking taylor expansion of -1 in phi1 10.635 * [taylor]: Taking taylor expansion of phi1 in phi1 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.635 * [taylor]: Taking taylor expansion of -1 in phi1 10.635 * [taylor]: Taking taylor expansion of phi2 in phi1 10.635 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.635 * [taylor]: Taking taylor expansion of -1 in phi1 10.635 * [taylor]: Taking taylor expansion of phi1 in phi1 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.635 * [taylor]: Taking taylor expansion of -1 in phi1 10.635 * [taylor]: Taking taylor expansion of phi2 in phi1 10.635 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.635 * [taylor]: Taking taylor expansion of -1 in phi2 10.635 * [taylor]: Taking taylor expansion of phi1 in phi2 10.635 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.635 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.635 * [taylor]: Taking taylor expansion of -1 in phi2 10.636 * [taylor]: Taking taylor expansion of phi2 in phi2 10.636 * [taylor]: Taking taylor expansion of 0 in phi2 10.637 * [taylor]: Taking taylor expansion of 0 in phi2 10.638 * [taylor]: Taking taylor expansion of 0 in phi2 10.638 * * * [progress]: simplifying candidates 10.638 * [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)) 10.643 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 10.646 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 10.655 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 10.680 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 10.683 * [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)) 10.683 * * * [progress]: adding candidates to table 10.774 * * [progress]: iteration 2 / 4 10.774 * * * [progress]: picking best candidate 10.833 * * * * [pick]: Picked # 10.833 * * * [progress]: localizing error 10.865 * * * [progress]: generating rewritten candidates 10.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 10.874 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 10.880 * * * [progress]: generating series expansions 10.880 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.881 * [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 10.881 * [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 10.881 * [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 10.882 * [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 10.882 * [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 10.882 * [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 10.882 * [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 10.883 * [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 10.883 * [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 10.884 * [taylor]: Taking taylor expansion of 0 in phi2 10.884 * [taylor]: Taking taylor expansion of 0 in lambda1 10.884 * [taylor]: Taking taylor expansion of 0 in lambda2 10.884 * [taylor]: Taking taylor expansion of 0 in lambda1 10.884 * [taylor]: Taking taylor expansion of 0 in lambda2 10.884 * [taylor]: Taking taylor expansion of 0 in lambda2 10.884 * [taylor]: Taking taylor expansion of 0 in phi2 10.884 * [taylor]: Taking taylor expansion of 0 in lambda1 10.884 * [taylor]: Taking taylor expansion of 0 in lambda2 10.884 * [taylor]: Taking taylor expansion of 0 in lambda1 10.884 * [taylor]: Taking taylor expansion of 0 in lambda2 10.885 * [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 10.885 * [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 10.885 * [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 10.885 * [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 10.886 * [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 10.886 * [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 10.887 * [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 10.887 * [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 10.887 * [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 10.888 * [taylor]: Taking taylor expansion of 0 in phi2 10.888 * [taylor]: Taking taylor expansion of 0 in lambda1 10.888 * [taylor]: Taking taylor expansion of 0 in lambda2 10.888 * [taylor]: Taking taylor expansion of 0 in lambda1 10.888 * [taylor]: Taking taylor expansion of 0 in lambda2 10.888 * [taylor]: Taking taylor expansion of 0 in lambda2 10.888 * [taylor]: Taking taylor expansion of 0 in phi2 10.888 * [taylor]: Taking taylor expansion of 0 in lambda1 10.888 * [taylor]: Taking taylor expansion of 0 in lambda2 10.888 * [taylor]: Taking taylor expansion of 0 in lambda1 10.888 * [taylor]: Taking taylor expansion of 0 in lambda2 10.889 * [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 10.889 * [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 10.890 * [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 10.890 * [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 10.891 * [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 10.893 * [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 10.893 * [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 10.894 * [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 10.894 * [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 10.895 * [taylor]: Taking taylor expansion of 0 in phi2 10.895 * [taylor]: Taking taylor expansion of 0 in lambda1 10.895 * [taylor]: Taking taylor expansion of 0 in lambda2 10.895 * [taylor]: Taking taylor expansion of 0 in lambda1 10.895 * [taylor]: Taking taylor expansion of 0 in lambda2 10.895 * [taylor]: Taking taylor expansion of 0 in lambda2 10.895 * [taylor]: Taking taylor expansion of 0 in phi2 10.895 * [taylor]: Taking taylor expansion of 0 in lambda1 10.895 * [taylor]: Taking taylor expansion of 0 in lambda2 10.895 * [taylor]: Taking taylor expansion of 0 in lambda1 10.895 * [taylor]: Taking taylor expansion of 0 in lambda2 10.896 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.896 * [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 10.896 * [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 10.896 * [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 10.896 * [taylor]: Taking taylor expansion of R in R 10.897 * [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 10.897 * [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 10.897 * [taylor]: Taking taylor expansion of R in lambda2 10.897 * [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 10.897 * [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 10.897 * [taylor]: Taking taylor expansion of R in lambda1 10.897 * [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 10.897 * [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 10.898 * [taylor]: Taking taylor expansion of R in phi2 10.898 * [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 10.898 * [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 10.898 * [taylor]: Taking taylor expansion of R in phi1 10.898 * [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 10.898 * [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 10.898 * [taylor]: Taking taylor expansion of R in phi1 10.899 * [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 10.899 * [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 10.899 * [taylor]: Taking taylor expansion of R in phi2 10.899 * [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 10.899 * [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 10.900 * [taylor]: Taking taylor expansion of R in lambda1 10.900 * [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 10.900 * [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 10.900 * [taylor]: Taking taylor expansion of R in lambda2 10.900 * [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 10.900 * [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 10.901 * [taylor]: Taking taylor expansion of R in R 10.902 * [taylor]: Taking taylor expansion of 0 in phi2 10.902 * [taylor]: Taking taylor expansion of 0 in lambda1 10.902 * [taylor]: Taking taylor expansion of 0 in lambda2 10.902 * [taylor]: Taking taylor expansion of 0 in R 10.902 * [taylor]: Taking taylor expansion of 0 in lambda1 10.902 * [taylor]: Taking taylor expansion of 0 in lambda2 10.902 * [taylor]: Taking taylor expansion of 0 in R 10.902 * [taylor]: Taking taylor expansion of 0 in lambda2 10.902 * [taylor]: Taking taylor expansion of 0 in R 10.903 * [taylor]: Taking taylor expansion of 0 in R 10.904 * [taylor]: Taking taylor expansion of 0 in phi2 10.904 * [taylor]: Taking taylor expansion of 0 in lambda1 10.904 * [taylor]: Taking taylor expansion of 0 in lambda2 10.904 * [taylor]: Taking taylor expansion of 0 in R 10.904 * [taylor]: Taking taylor expansion of 0 in lambda1 10.904 * [taylor]: Taking taylor expansion of 0 in lambda2 10.904 * [taylor]: Taking taylor expansion of 0 in R 10.904 * [taylor]: Taking taylor expansion of 0 in lambda1 10.904 * [taylor]: Taking taylor expansion of 0 in lambda2 10.904 * [taylor]: Taking taylor expansion of 0 in R 10.904 * [taylor]: Taking taylor expansion of 0 in lambda2 10.904 * [taylor]: Taking taylor expansion of 0 in R 10.904 * [taylor]: Taking taylor expansion of 0 in lambda2 10.904 * [taylor]: Taking taylor expansion of 0 in R 10.905 * [taylor]: Taking taylor expansion of 0 in lambda2 10.905 * [taylor]: Taking taylor expansion of 0 in R 10.905 * [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 10.905 * [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 10.905 * [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 10.906 * [taylor]: Taking taylor expansion of R in R 10.906 * [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 10.906 * [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 10.907 * [taylor]: Taking taylor expansion of R in lambda2 10.907 * [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 10.907 * [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 10.907 * [taylor]: Taking taylor expansion of R in lambda1 10.908 * [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 10.908 * [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 10.908 * [taylor]: Taking taylor expansion of R in phi2 10.909 * [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 10.909 * [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 10.909 * [taylor]: Taking taylor expansion of R in phi1 10.909 * [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 10.909 * [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 10.910 * [taylor]: Taking taylor expansion of R in phi1 10.910 * [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 10.910 * [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 10.911 * [taylor]: Taking taylor expansion of R in phi2 10.911 * [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 10.911 * [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 10.911 * [taylor]: Taking taylor expansion of R in lambda1 10.912 * [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 10.912 * [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 10.912 * [taylor]: Taking taylor expansion of R in lambda2 10.913 * [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 10.913 * [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 10.913 * [taylor]: Taking taylor expansion of R in R 10.914 * [taylor]: Taking taylor expansion of 0 in phi2 10.914 * [taylor]: Taking taylor expansion of 0 in lambda1 10.914 * [taylor]: Taking taylor expansion of 0 in lambda2 10.914 * [taylor]: Taking taylor expansion of 0 in R 10.915 * [taylor]: Taking taylor expansion of 0 in lambda1 10.915 * [taylor]: Taking taylor expansion of 0 in lambda2 10.915 * [taylor]: Taking taylor expansion of 0 in R 10.915 * [taylor]: Taking taylor expansion of 0 in lambda2 10.915 * [taylor]: Taking taylor expansion of 0 in R 10.916 * [taylor]: Taking taylor expansion of 0 in R 10.917 * [taylor]: Taking taylor expansion of 0 in phi2 10.917 * [taylor]: Taking taylor expansion of 0 in lambda1 10.917 * [taylor]: Taking taylor expansion of 0 in lambda2 10.917 * [taylor]: Taking taylor expansion of 0 in R 10.917 * [taylor]: Taking taylor expansion of 0 in lambda1 10.917 * [taylor]: Taking taylor expansion of 0 in lambda2 10.917 * [taylor]: Taking taylor expansion of 0 in R 10.917 * [taylor]: Taking taylor expansion of 0 in lambda1 10.917 * [taylor]: Taking taylor expansion of 0 in lambda2 10.917 * [taylor]: Taking taylor expansion of 0 in R 10.917 * [taylor]: Taking taylor expansion of 0 in lambda2 10.917 * [taylor]: Taking taylor expansion of 0 in R 10.917 * [taylor]: Taking taylor expansion of 0 in lambda2 10.917 * [taylor]: Taking taylor expansion of 0 in R 10.918 * [taylor]: Taking taylor expansion of 0 in lambda2 10.918 * [taylor]: Taking taylor expansion of 0 in R 10.918 * [taylor]: Taking taylor expansion of 0 in R 10.918 * [taylor]: Taking taylor expansion of 0 in R 10.918 * [taylor]: Taking taylor expansion of 0 in R 10.918 * [taylor]: Taking taylor expansion of 0 in R 10.920 * [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 10.920 * [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 10.920 * [taylor]: Taking taylor expansion of -1 in R 10.920 * [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 10.920 * [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 10.920 * [taylor]: Taking taylor expansion of R in R 10.921 * [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 10.921 * [taylor]: Taking taylor expansion of -1 in lambda2 10.921 * [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 10.921 * [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 10.921 * [taylor]: Taking taylor expansion of R in lambda2 10.922 * [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 10.922 * [taylor]: Taking taylor expansion of -1 in lambda1 10.922 * [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 10.922 * [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 10.922 * [taylor]: Taking taylor expansion of R in lambda1 10.922 * [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 10.922 * [taylor]: Taking taylor expansion of -1 in phi2 10.922 * [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 10.922 * [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 10.923 * [taylor]: Taking taylor expansion of R in phi2 10.923 * [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 10.923 * [taylor]: Taking taylor expansion of -1 in phi1 10.923 * [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 10.923 * [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 10.924 * [taylor]: Taking taylor expansion of R in phi1 10.924 * [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 10.924 * [taylor]: Taking taylor expansion of -1 in phi1 10.924 * [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 10.924 * [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 10.925 * [taylor]: Taking taylor expansion of R in phi1 10.925 * [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 10.925 * [taylor]: Taking taylor expansion of -1 in phi2 10.925 * [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 10.925 * [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 10.926 * [taylor]: Taking taylor expansion of R in phi2 10.927 * [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 10.927 * [taylor]: Taking taylor expansion of -1 in lambda1 10.927 * [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 10.927 * [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 10.927 * [taylor]: Taking taylor expansion of R in lambda1 10.928 * [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 10.928 * [taylor]: Taking taylor expansion of -1 in lambda2 10.928 * [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 10.928 * [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 10.928 * [taylor]: Taking taylor expansion of R in lambda2 10.929 * [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 10.929 * [taylor]: Taking taylor expansion of -1 in R 10.929 * [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 10.929 * [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 10.929 * [taylor]: Taking taylor expansion of R in R 10.932 * [taylor]: Taking taylor expansion of 0 in phi2 10.932 * [taylor]: Taking taylor expansion of 0 in lambda1 10.932 * [taylor]: Taking taylor expansion of 0 in lambda2 10.932 * [taylor]: Taking taylor expansion of 0 in R 10.932 * [taylor]: Taking taylor expansion of 0 in lambda1 10.932 * [taylor]: Taking taylor expansion of 0 in lambda2 10.933 * [taylor]: Taking taylor expansion of 0 in R 10.933 * [taylor]: Taking taylor expansion of 0 in lambda2 10.933 * [taylor]: Taking taylor expansion of 0 in R 10.934 * [taylor]: Taking taylor expansion of 0 in R 10.936 * [taylor]: Taking taylor expansion of 0 in phi2 10.936 * [taylor]: Taking taylor expansion of 0 in lambda1 10.936 * [taylor]: Taking taylor expansion of 0 in lambda2 10.936 * [taylor]: Taking taylor expansion of 0 in R 10.936 * [taylor]: Taking taylor expansion of 0 in lambda1 10.936 * [taylor]: Taking taylor expansion of 0 in lambda2 10.936 * [taylor]: Taking taylor expansion of 0 in R 10.937 * [taylor]: Taking taylor expansion of 0 in lambda1 10.937 * [taylor]: Taking taylor expansion of 0 in lambda2 10.937 * [taylor]: Taking taylor expansion of 0 in R 10.937 * [taylor]: Taking taylor expansion of 0 in lambda2 10.937 * [taylor]: Taking taylor expansion of 0 in R 10.937 * [taylor]: Taking taylor expansion of 0 in lambda2 10.937 * [taylor]: Taking taylor expansion of 0 in R 10.938 * [taylor]: Taking taylor expansion of 0 in lambda2 10.938 * [taylor]: Taking taylor expansion of 0 in R 10.938 * [taylor]: Taking taylor expansion of 0 in R 10.938 * [taylor]: Taking taylor expansion of 0 in R 10.938 * [taylor]: Taking taylor expansion of 0 in R 10.939 * [taylor]: Taking taylor expansion of 0 in R 10.940 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 10.940 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 10.940 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 10.940 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 10.940 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.940 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.940 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.940 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.940 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.940 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.940 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.940 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.940 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 10.940 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 10.941 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.941 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 10.941 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.941 * [taylor]: Taking taylor expansion of 0 in lambda2 10.941 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.941 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.941 * [taylor]: Taking taylor expansion of 0 in lambda2 10.942 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 10.942 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 10.942 * [taylor]: Taking taylor expansion of 1/6 in lambda2 10.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 10.942 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.943 * [taylor]: Taking taylor expansion of 0 in lambda2 10.943 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 10.943 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.943 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.943 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.943 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.943 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.944 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.944 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.944 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.944 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 10.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 10.944 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 10.944 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 10.944 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 10.944 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 10.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 10.944 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 10.944 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.944 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 10.944 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 10.944 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.945 * [taylor]: Taking taylor expansion of 0 in lambda2 10.945 * [taylor]: Taking taylor expansion of 0 in lambda2 10.946 * [taylor]: Taking taylor expansion of 0 in lambda2 10.946 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 10.947 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.947 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.947 * [taylor]: Taking taylor expansion of -1 in lambda2 10.947 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.947 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.947 * [taylor]: Taking taylor expansion of -1 in lambda2 10.947 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.947 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.947 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.947 * [taylor]: Taking taylor expansion of -1 in lambda1 10.947 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.947 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.947 * [taylor]: Taking taylor expansion of -1 in lambda1 10.947 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.947 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 10.947 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 10.947 * [taylor]: Taking taylor expansion of -1 in lambda1 10.947 * [taylor]: Taking taylor expansion of lambda1 in lambda1 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 10.947 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 10.947 * [taylor]: Taking taylor expansion of -1 in lambda1 10.947 * [taylor]: Taking taylor expansion of lambda2 in lambda1 10.947 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 10.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 10.948 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 10.948 * [taylor]: Taking taylor expansion of -1 in lambda2 10.948 * [taylor]: Taking taylor expansion of lambda1 in lambda2 10.948 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 10.948 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 10.948 * [taylor]: Taking taylor expansion of -1 in lambda2 10.948 * [taylor]: Taking taylor expansion of lambda2 in lambda2 10.948 * [taylor]: Taking taylor expansion of 0 in lambda2 10.949 * [taylor]: Taking taylor expansion of 0 in lambda2 10.950 * [taylor]: Taking taylor expansion of 0 in lambda2 10.950 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.950 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 10.950 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 10.950 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 10.950 * [taylor]: Taking taylor expansion of phi1 in phi2 10.950 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.950 * [taylor]: Taking taylor expansion of phi2 in phi2 10.950 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.950 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.950 * [taylor]: Taking taylor expansion of phi1 in phi1 10.950 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.950 * [taylor]: Taking taylor expansion of phi2 in phi1 10.950 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 10.950 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 10.950 * [taylor]: Taking taylor expansion of phi1 in phi1 10.950 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 10.950 * [taylor]: Taking taylor expansion of phi2 in phi1 10.950 * [taylor]: Taking taylor expansion of 0 in phi2 10.951 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.951 * [taylor]: Taking taylor expansion of phi2 in phi2 10.951 * [taylor]: Taking taylor expansion of 0 in phi2 10.952 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 10.952 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 10.952 * [taylor]: Taking taylor expansion of 1/6 in phi2 10.952 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 10.952 * [taylor]: Taking taylor expansion of phi2 in phi2 10.953 * [taylor]: Taking taylor expansion of 0 in phi2 10.953 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 10.953 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.953 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.953 * [taylor]: Taking taylor expansion of phi1 in phi2 10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.953 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.953 * [taylor]: Taking taylor expansion of phi2 in phi2 10.953 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.953 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.953 * [taylor]: Taking taylor expansion of phi1 in phi1 10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.953 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.953 * [taylor]: Taking taylor expansion of phi2 in phi1 10.953 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 10.953 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 10.953 * [taylor]: Taking taylor expansion of phi1 in phi1 10.953 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 10.953 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 10.953 * [taylor]: Taking taylor expansion of phi2 in phi1 10.954 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 10.954 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 10.954 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 10.954 * [taylor]: Taking taylor expansion of phi1 in phi2 10.954 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 10.954 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 10.954 * [taylor]: Taking taylor expansion of phi2 in phi2 10.954 * [taylor]: Taking taylor expansion of 0 in phi2 10.955 * [taylor]: Taking taylor expansion of 0 in phi2 10.956 * [taylor]: Taking taylor expansion of 0 in phi2 10.956 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 10.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.956 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.956 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.956 * [taylor]: Taking taylor expansion of -1 in phi2 10.956 * [taylor]: Taking taylor expansion of phi1 in phi2 10.956 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.956 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.956 * [taylor]: Taking taylor expansion of -1 in phi2 10.956 * [taylor]: Taking taylor expansion of phi2 in phi2 10.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.956 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.956 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.956 * [taylor]: Taking taylor expansion of -1 in phi1 10.956 * [taylor]: Taking taylor expansion of phi1 in phi1 10.956 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.956 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.956 * [taylor]: Taking taylor expansion of -1 in phi1 10.956 * [taylor]: Taking taylor expansion of phi2 in phi1 10.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 10.957 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 10.957 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 10.957 * [taylor]: Taking taylor expansion of -1 in phi1 10.957 * [taylor]: Taking taylor expansion of phi1 in phi1 10.957 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 10.957 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 10.957 * [taylor]: Taking taylor expansion of -1 in phi1 10.957 * [taylor]: Taking taylor expansion of phi2 in phi1 10.957 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 10.957 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 10.957 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 10.957 * [taylor]: Taking taylor expansion of -1 in phi2 10.957 * [taylor]: Taking taylor expansion of phi1 in phi2 10.957 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 10.957 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 10.957 * [taylor]: Taking taylor expansion of -1 in phi2 10.957 * [taylor]: Taking taylor expansion of phi2 in phi2 10.958 * [taylor]: Taking taylor expansion of 0 in phi2 10.958 * [taylor]: Taking taylor expansion of 0 in phi2 10.959 * [taylor]: Taking taylor expansion of 0 in phi2 10.959 * * * [progress]: simplifying candidates 10.960 * [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)) 10.965 * * [simplify]: iteration 0 : 260 enodes (cost 929 ) 10.970 * * [simplify]: iteration 1 : 831 enodes (cost 774 ) 10.982 * * [simplify]: iteration 2 : 1930 enodes (cost 774 ) 11.003 * * [simplify]: iteration 3 : 3056 enodes (cost 774 ) 11.031 * * [simplify]: iteration 4 : 5001 enodes (cost 774 ) 11.034 * [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)) 11.035 * * * [progress]: adding candidates to table 11.124 * * [progress]: iteration 3 / 4 11.124 * * * [progress]: picking best candidate 11.218 * * * * [pick]: Picked # 11.218 * * * [progress]: localizing error 11.256 * * * [progress]: generating rewritten candidates 11.256 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 11.259 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 11.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 11.270 * * * [progress]: generating series expansions 11.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 11.271 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 11.271 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 11.271 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 11.271 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.271 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.271 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.271 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.271 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.271 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.271 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.271 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.271 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.271 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.271 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.271 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.271 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.271 * [taylor]: Taking taylor expansion of 0 in lambda2 11.271 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.271 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.272 * [taylor]: Taking taylor expansion of 0 in lambda2 11.272 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 11.272 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 11.272 * [taylor]: Taking taylor expansion of 1/6 in lambda2 11.272 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.272 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.273 * [taylor]: Taking taylor expansion of 0 in lambda2 11.274 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 11.274 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.274 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.274 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.274 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.274 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.274 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.274 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.274 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.274 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.274 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 11.274 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.274 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.275 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.275 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.275 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.275 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.275 * [taylor]: Taking taylor expansion of 0 in lambda2 11.276 * [taylor]: Taking taylor expansion of 0 in lambda2 11.277 * [taylor]: Taking taylor expansion of 0 in lambda2 11.277 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 11.277 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.277 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.277 * [taylor]: Taking taylor expansion of -1 in lambda2 11.277 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.277 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.277 * [taylor]: Taking taylor expansion of -1 in lambda2 11.277 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.277 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.277 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.277 * [taylor]: Taking taylor expansion of -1 in lambda1 11.277 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.277 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.278 * [taylor]: Taking taylor expansion of -1 in lambda1 11.278 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.278 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.278 * [taylor]: Taking taylor expansion of -1 in lambda1 11.278 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.278 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.278 * [taylor]: Taking taylor expansion of -1 in lambda1 11.278 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.278 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.278 * [taylor]: Taking taylor expansion of -1 in lambda2 11.278 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.278 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.278 * [taylor]: Taking taylor expansion of -1 in lambda2 11.278 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.279 * [taylor]: Taking taylor expansion of 0 in lambda2 11.279 * [taylor]: Taking taylor expansion of 0 in lambda2 11.280 * [taylor]: Taking taylor expansion of 0 in lambda2 11.280 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.281 * [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 11.281 * [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 11.281 * [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 11.281 * [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 11.282 * [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 11.282 * [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 11.282 * [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 11.283 * [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 11.283 * [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 11.284 * [taylor]: Taking taylor expansion of 0 in phi2 11.284 * [taylor]: Taking taylor expansion of 0 in lambda1 11.284 * [taylor]: Taking taylor expansion of 0 in lambda2 11.284 * [taylor]: Taking taylor expansion of 0 in lambda1 11.284 * [taylor]: Taking taylor expansion of 0 in lambda2 11.284 * [taylor]: Taking taylor expansion of 0 in lambda2 11.284 * [taylor]: Taking taylor expansion of 0 in phi2 11.284 * [taylor]: Taking taylor expansion of 0 in lambda1 11.284 * [taylor]: Taking taylor expansion of 0 in lambda2 11.284 * [taylor]: Taking taylor expansion of 0 in lambda1 11.284 * [taylor]: Taking taylor expansion of 0 in lambda2 11.285 * [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 11.285 * [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 11.285 * [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 11.285 * [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 11.286 * [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 11.286 * [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 11.287 * [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 11.287 * [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 11.287 * [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 11.288 * [taylor]: Taking taylor expansion of 0 in phi2 11.288 * [taylor]: Taking taylor expansion of 0 in lambda1 11.288 * [taylor]: Taking taylor expansion of 0 in lambda2 11.288 * [taylor]: Taking taylor expansion of 0 in lambda1 11.288 * [taylor]: Taking taylor expansion of 0 in lambda2 11.288 * [taylor]: Taking taylor expansion of 0 in lambda2 11.288 * [taylor]: Taking taylor expansion of 0 in phi2 11.288 * [taylor]: Taking taylor expansion of 0 in lambda1 11.288 * [taylor]: Taking taylor expansion of 0 in lambda2 11.288 * [taylor]: Taking taylor expansion of 0 in lambda1 11.288 * [taylor]: Taking taylor expansion of 0 in lambda2 11.289 * [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 11.289 * [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 11.290 * [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 11.290 * [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 11.290 * [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 11.291 * [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 11.291 * [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 11.292 * [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 11.292 * [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 11.293 * [taylor]: Taking taylor expansion of 0 in phi2 11.293 * [taylor]: Taking taylor expansion of 0 in lambda1 11.293 * [taylor]: Taking taylor expansion of 0 in lambda2 11.293 * [taylor]: Taking taylor expansion of 0 in lambda1 11.293 * [taylor]: Taking taylor expansion of 0 in lambda2 11.293 * [taylor]: Taking taylor expansion of 0 in lambda2 11.293 * [taylor]: Taking taylor expansion of 0 in phi2 11.293 * [taylor]: Taking taylor expansion of 0 in lambda1 11.293 * [taylor]: Taking taylor expansion of 0 in lambda2 11.293 * [taylor]: Taking taylor expansion of 0 in lambda1 11.293 * [taylor]: Taking taylor expansion of 0 in lambda2 11.294 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 11.294 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 11.294 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 11.294 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 11.294 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 11.294 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.294 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.294 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.294 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 11.294 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.294 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.294 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.294 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.294 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.295 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 11.295 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.295 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.295 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.295 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.295 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.295 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 11.295 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.295 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.296 * [taylor]: Taking taylor expansion of 0 in lambda2 11.297 * [taylor]: Taking taylor expansion of (neg (* 1/2 (pow (sin lambda2) 3))) in lambda2 11.297 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 11.297 * [taylor]: Taking taylor expansion of 1/2 in lambda2 11.297 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 11.297 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.297 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.298 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 11.298 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 11.298 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 11.298 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.298 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.298 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.298 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.298 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.298 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.298 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 11.298 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 11.298 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.298 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.298 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.298 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.299 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.299 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.299 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 11.299 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 11.299 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.299 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.299 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.299 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.299 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.299 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.299 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 11.299 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 11.299 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.299 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.299 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.300 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 11.300 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.300 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.300 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.301 * [taylor]: Taking taylor expansion of 0 in lambda2 11.302 * [taylor]: Taking taylor expansion of 0 in lambda2 11.304 * [taylor]: Taking taylor expansion of 0 in lambda2 11.304 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 11.304 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 11.304 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.304 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.304 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.304 * [taylor]: Taking taylor expansion of -1 in lambda2 11.304 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.304 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.304 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.304 * [taylor]: Taking taylor expansion of -1 in lambda2 11.304 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.304 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 11.305 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.305 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.305 * [taylor]: Taking taylor expansion of -1 in lambda1 11.305 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.305 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.305 * [taylor]: Taking taylor expansion of -1 in lambda1 11.305 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.305 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 11.305 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.305 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.305 * [taylor]: Taking taylor expansion of -1 in lambda1 11.305 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.305 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.305 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.305 * [taylor]: Taking taylor expansion of -1 in lambda1 11.305 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.306 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 11.306 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 11.306 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.306 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.306 * [taylor]: Taking taylor expansion of -1 in lambda2 11.306 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.306 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 11.306 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.306 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.306 * [taylor]: Taking taylor expansion of -1 in lambda2 11.306 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.307 * [taylor]: Taking taylor expansion of 0 in lambda2 11.308 * [taylor]: Taking taylor expansion of 0 in lambda2 11.310 * [taylor]: Taking taylor expansion of 0 in lambda2 11.310 * * * * [progress]: [ 4 / 4 ] generating series at (2) 11.311 * [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 11.311 * [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 11.311 * [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 11.311 * [taylor]: Taking taylor expansion of R in R 11.311 * [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 11.311 * [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 11.311 * [taylor]: Taking taylor expansion of R in lambda2 11.311 * [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 11.311 * [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 11.312 * [taylor]: Taking taylor expansion of R in lambda1 11.312 * [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 11.312 * [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 11.312 * [taylor]: Taking taylor expansion of R in phi2 11.312 * [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 11.312 * [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 11.312 * [taylor]: Taking taylor expansion of R in phi1 11.312 * [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 11.312 * [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 11.313 * [taylor]: Taking taylor expansion of R in phi1 11.313 * [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 11.313 * [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 11.313 * [taylor]: Taking taylor expansion of R in phi2 11.314 * [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 11.314 * [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 11.314 * [taylor]: Taking taylor expansion of R in lambda1 11.314 * [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 11.315 * [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 11.315 * [taylor]: Taking taylor expansion of R in lambda2 11.315 * [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 11.315 * [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 11.315 * [taylor]: Taking taylor expansion of R in R 11.316 * [taylor]: Taking taylor expansion of 0 in phi2 11.316 * [taylor]: Taking taylor expansion of 0 in lambda1 11.316 * [taylor]: Taking taylor expansion of 0 in lambda2 11.316 * [taylor]: Taking taylor expansion of 0 in R 11.316 * [taylor]: Taking taylor expansion of 0 in lambda1 11.316 * [taylor]: Taking taylor expansion of 0 in lambda2 11.316 * [taylor]: Taking taylor expansion of 0 in R 11.317 * [taylor]: Taking taylor expansion of 0 in lambda2 11.317 * [taylor]: Taking taylor expansion of 0 in R 11.317 * [taylor]: Taking taylor expansion of 0 in R 11.318 * [taylor]: Taking taylor expansion of 0 in phi2 11.318 * [taylor]: Taking taylor expansion of 0 in lambda1 11.318 * [taylor]: Taking taylor expansion of 0 in lambda2 11.318 * [taylor]: Taking taylor expansion of 0 in R 11.318 * [taylor]: Taking taylor expansion of 0 in lambda1 11.318 * [taylor]: Taking taylor expansion of 0 in lambda2 11.318 * [taylor]: Taking taylor expansion of 0 in R 11.319 * [taylor]: Taking taylor expansion of 0 in lambda1 11.319 * [taylor]: Taking taylor expansion of 0 in lambda2 11.319 * [taylor]: Taking taylor expansion of 0 in R 11.319 * [taylor]: Taking taylor expansion of 0 in lambda2 11.319 * [taylor]: Taking taylor expansion of 0 in R 11.319 * [taylor]: Taking taylor expansion of 0 in lambda2 11.319 * [taylor]: Taking taylor expansion of 0 in R 11.319 * [taylor]: Taking taylor expansion of 0 in lambda2 11.319 * [taylor]: Taking taylor expansion of 0 in R 11.320 * [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 11.320 * [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 11.320 * [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 11.320 * [taylor]: Taking taylor expansion of R in R 11.321 * [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 11.321 * [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 11.321 * [taylor]: Taking taylor expansion of R in lambda2 11.322 * [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 11.322 * [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 11.322 * [taylor]: Taking taylor expansion of R in lambda1 11.322 * [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 11.322 * [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 11.323 * [taylor]: Taking taylor expansion of R in phi2 11.323 * [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 11.323 * [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 11.326 * [taylor]: Taking taylor expansion of R in phi1 11.327 * [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 11.327 * [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 11.327 * [taylor]: Taking taylor expansion of R in phi1 11.328 * [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 11.328 * [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 11.328 * [taylor]: Taking taylor expansion of R in phi2 11.329 * [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 11.329 * [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 11.329 * [taylor]: Taking taylor expansion of R in lambda1 11.329 * [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 11.329 * [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 11.330 * [taylor]: Taking taylor expansion of R in lambda2 11.330 * [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 11.330 * [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 11.331 * [taylor]: Taking taylor expansion of R in R 11.332 * [taylor]: Taking taylor expansion of 0 in phi2 11.332 * [taylor]: Taking taylor expansion of 0 in lambda1 11.332 * [taylor]: Taking taylor expansion of 0 in lambda2 11.332 * [taylor]: Taking taylor expansion of 0 in R 11.332 * [taylor]: Taking taylor expansion of 0 in lambda1 11.332 * [taylor]: Taking taylor expansion of 0 in lambda2 11.332 * [taylor]: Taking taylor expansion of 0 in R 11.333 * [taylor]: Taking taylor expansion of 0 in lambda2 11.333 * [taylor]: Taking taylor expansion of 0 in R 11.333 * [taylor]: Taking taylor expansion of 0 in R 11.334 * [taylor]: Taking taylor expansion of 0 in phi2 11.334 * [taylor]: Taking taylor expansion of 0 in lambda1 11.334 * [taylor]: Taking taylor expansion of 0 in lambda2 11.334 * [taylor]: Taking taylor expansion of 0 in R 11.334 * [taylor]: Taking taylor expansion of 0 in lambda1 11.334 * [taylor]: Taking taylor expansion of 0 in lambda2 11.334 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in lambda1 11.335 * [taylor]: Taking taylor expansion of 0 in lambda2 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in lambda2 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in lambda2 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in lambda2 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.335 * [taylor]: Taking taylor expansion of 0 in R 11.336 * [taylor]: Taking taylor expansion of 0 in R 11.337 * [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 11.337 * [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 11.337 * [taylor]: Taking taylor expansion of -1 in R 11.337 * [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 11.337 * [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 11.338 * [taylor]: Taking taylor expansion of R in R 11.338 * [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 11.338 * [taylor]: Taking taylor expansion of -1 in lambda2 11.338 * [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 11.338 * [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 11.339 * [taylor]: Taking taylor expansion of R in lambda2 11.339 * [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 11.339 * [taylor]: Taking taylor expansion of -1 in lambda1 11.339 * [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 11.339 * [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 11.340 * [taylor]: Taking taylor expansion of R in lambda1 11.340 * [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 11.340 * [taylor]: Taking taylor expansion of -1 in phi2 11.340 * [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 11.340 * [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 11.340 * [taylor]: Taking taylor expansion of R in phi2 11.341 * [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 11.341 * [taylor]: Taking taylor expansion of -1 in phi1 11.341 * [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 11.341 * [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 11.341 * [taylor]: Taking taylor expansion of R in phi1 11.342 * [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 11.342 * [taylor]: Taking taylor expansion of -1 in phi1 11.342 * [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 11.342 * [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 11.342 * [taylor]: Taking taylor expansion of R in phi1 11.343 * [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 11.343 * [taylor]: Taking taylor expansion of -1 in phi2 11.343 * [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 11.343 * [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 11.343 * [taylor]: Taking taylor expansion of R in phi2 11.344 * [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 11.344 * [taylor]: Taking taylor expansion of -1 in lambda1 11.344 * [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 11.344 * [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 11.344 * [taylor]: Taking taylor expansion of R in lambda1 11.345 * [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 11.345 * [taylor]: Taking taylor expansion of -1 in lambda2 11.345 * [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 11.345 * [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 11.346 * [taylor]: Taking taylor expansion of R in lambda2 11.346 * [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 11.346 * [taylor]: Taking taylor expansion of -1 in R 11.346 * [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 11.347 * [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 11.347 * [taylor]: Taking taylor expansion of R in R 11.349 * [taylor]: Taking taylor expansion of 0 in phi2 11.349 * [taylor]: Taking taylor expansion of 0 in lambda1 11.349 * [taylor]: Taking taylor expansion of 0 in lambda2 11.349 * [taylor]: Taking taylor expansion of 0 in R 11.350 * [taylor]: Taking taylor expansion of 0 in lambda1 11.350 * [taylor]: Taking taylor expansion of 0 in lambda2 11.350 * [taylor]: Taking taylor expansion of 0 in R 11.351 * [taylor]: Taking taylor expansion of 0 in lambda2 11.351 * [taylor]: Taking taylor expansion of 0 in R 11.352 * [taylor]: Taking taylor expansion of 0 in R 11.353 * [taylor]: Taking taylor expansion of 0 in phi2 11.353 * [taylor]: Taking taylor expansion of 0 in lambda1 11.353 * [taylor]: Taking taylor expansion of 0 in lambda2 11.353 * [taylor]: Taking taylor expansion of 0 in R 11.353 * [taylor]: Taking taylor expansion of 0 in lambda1 11.353 * [taylor]: Taking taylor expansion of 0 in lambda2 11.353 * [taylor]: Taking taylor expansion of 0 in R 11.354 * [taylor]: Taking taylor expansion of 0 in lambda1 11.354 * [taylor]: Taking taylor expansion of 0 in lambda2 11.354 * [taylor]: Taking taylor expansion of 0 in R 11.354 * [taylor]: Taking taylor expansion of 0 in lambda2 11.354 * [taylor]: Taking taylor expansion of 0 in R 11.354 * [taylor]: Taking taylor expansion of 0 in lambda2 11.354 * [taylor]: Taking taylor expansion of 0 in R 11.355 * [taylor]: Taking taylor expansion of 0 in lambda2 11.355 * [taylor]: Taking taylor expansion of 0 in R 11.355 * [taylor]: Taking taylor expansion of 0 in R 11.355 * [taylor]: Taking taylor expansion of 0 in R 11.355 * [taylor]: Taking taylor expansion of 0 in R 11.356 * [taylor]: Taking taylor expansion of 0 in R 11.357 * * * [progress]: simplifying candidates 11.359 * [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) 11.364 * * [simplify]: iteration 0 : 285 enodes (cost 1038 ) 11.369 * * [simplify]: iteration 1 : 1031 enodes (cost 891 ) 11.392 * * [simplify]: iteration 2 : 4820 enodes (cost 890 ) 11.541 * * [simplify]: iteration 3 : 5001 enodes (cost 890 ) 11.548 * [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) 11.549 * * * [progress]: adding candidates to table 11.699 * * [progress]: iteration 4 / 4 11.699 * * * [progress]: picking best candidate 11.780 * * * * [pick]: Picked # 11.780 * * * [progress]: localizing error 11.820 * * * [progress]: generating rewritten candidates 11.820 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 11.823 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 11.825 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.827 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.830 * * * [progress]: generating series expansions 11.830 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2 2) 11.831 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 11.831 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 11.831 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 11.831 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.831 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.831 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.831 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.831 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.831 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.831 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.831 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.831 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.831 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.831 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.831 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.831 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.831 * [taylor]: Taking taylor expansion of 0 in lambda2 11.831 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.831 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.832 * [taylor]: Taking taylor expansion of 0 in lambda2 11.832 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 11.832 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 11.832 * [taylor]: Taking taylor expansion of 1/6 in lambda2 11.832 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.832 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.833 * [taylor]: Taking taylor expansion of 0 in lambda2 11.833 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 11.833 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 11.833 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.833 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.833 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.834 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.834 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.834 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.834 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.834 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.834 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.834 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.834 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.834 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.834 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.834 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.834 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.835 * [taylor]: Taking taylor expansion of 0 in lambda2 11.836 * [taylor]: Taking taylor expansion of 0 in lambda2 11.836 * [taylor]: Taking taylor expansion of 0 in lambda2 11.837 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 11.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.837 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.837 * [taylor]: Taking taylor expansion of -1 in lambda2 11.837 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.837 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.837 * [taylor]: Taking taylor expansion of -1 in lambda2 11.837 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.837 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.837 * [taylor]: Taking taylor expansion of -1 in lambda1 11.837 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.837 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.837 * [taylor]: Taking taylor expansion of -1 in lambda1 11.837 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.837 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.837 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.837 * [taylor]: Taking taylor expansion of -1 in lambda1 11.837 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.837 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.837 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.837 * [taylor]: Taking taylor expansion of -1 in lambda1 11.837 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.838 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.838 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.838 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.838 * [taylor]: Taking taylor expansion of -1 in lambda2 11.838 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.838 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.838 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.838 * [taylor]: Taking taylor expansion of -1 in lambda2 11.838 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.838 * [taylor]: Taking taylor expansion of 0 in lambda2 11.839 * [taylor]: Taking taylor expansion of 0 in lambda2 11.840 * [taylor]: Taking taylor expansion of 0 in lambda2 11.840 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 11.840 * [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 11.840 * [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 11.841 * [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 11.841 * [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 11.841 * [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 11.842 * [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 11.842 * [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 11.842 * [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 11.843 * [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 11.843 * [taylor]: Taking taylor expansion of 0 in phi2 11.843 * [taylor]: Taking taylor expansion of 0 in lambda1 11.843 * [taylor]: Taking taylor expansion of 0 in lambda2 11.843 * [taylor]: Taking taylor expansion of 0 in lambda1 11.843 * [taylor]: Taking taylor expansion of 0 in lambda2 11.843 * [taylor]: Taking taylor expansion of 0 in lambda2 11.843 * [taylor]: Taking taylor expansion of 0 in phi2 11.843 * [taylor]: Taking taylor expansion of 0 in lambda1 11.843 * [taylor]: Taking taylor expansion of 0 in lambda2 11.843 * [taylor]: Taking taylor expansion of 0 in lambda1 11.843 * [taylor]: Taking taylor expansion of 0 in lambda2 11.844 * [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 11.844 * [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 11.845 * [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 11.845 * [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 11.845 * [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 11.846 * [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 11.846 * [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 11.846 * [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 11.847 * [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 11.848 * [taylor]: Taking taylor expansion of 0 in phi2 11.848 * [taylor]: Taking taylor expansion of 0 in lambda1 11.848 * [taylor]: Taking taylor expansion of 0 in lambda2 11.848 * [taylor]: Taking taylor expansion of 0 in lambda1 11.848 * [taylor]: Taking taylor expansion of 0 in lambda2 11.848 * [taylor]: Taking taylor expansion of 0 in lambda2 11.848 * [taylor]: Taking taylor expansion of 0 in phi2 11.848 * [taylor]: Taking taylor expansion of 0 in lambda1 11.848 * [taylor]: Taking taylor expansion of 0 in lambda2 11.848 * [taylor]: Taking taylor expansion of 0 in lambda1 11.848 * [taylor]: Taking taylor expansion of 0 in lambda2 11.849 * [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 11.849 * [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 11.849 * [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 11.850 * [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 11.850 * [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 11.850 * [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 11.851 * [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 11.851 * [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 11.852 * [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 11.852 * [taylor]: Taking taylor expansion of 0 in phi2 11.852 * [taylor]: Taking taylor expansion of 0 in lambda1 11.853 * [taylor]: Taking taylor expansion of 0 in lambda2 11.853 * [taylor]: Taking taylor expansion of 0 in lambda1 11.853 * [taylor]: Taking taylor expansion of 0 in lambda2 11.853 * [taylor]: Taking taylor expansion of 0 in lambda2 11.853 * [taylor]: Taking taylor expansion of 0 in phi2 11.853 * [taylor]: Taking taylor expansion of 0 in lambda1 11.853 * [taylor]: Taking taylor expansion of 0 in lambda2 11.853 * [taylor]: Taking taylor expansion of 0 in lambda1 11.853 * [taylor]: Taking taylor expansion of 0 in lambda2 11.853 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.854 * [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 11.854 * [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 11.854 * [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 11.854 * [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 11.855 * [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 11.855 * [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 11.855 * [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 11.855 * [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 11.856 * [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 11.856 * [taylor]: Taking taylor expansion of 0 in phi2 11.856 * [taylor]: Taking taylor expansion of 0 in lambda1 11.856 * [taylor]: Taking taylor expansion of 0 in lambda2 11.856 * [taylor]: Taking taylor expansion of 0 in lambda1 11.856 * [taylor]: Taking taylor expansion of 0 in lambda2 11.856 * [taylor]: Taking taylor expansion of 0 in lambda2 11.856 * [taylor]: Taking taylor expansion of 0 in phi2 11.857 * [taylor]: Taking taylor expansion of 0 in lambda1 11.857 * [taylor]: Taking taylor expansion of 0 in lambda2 11.857 * [taylor]: Taking taylor expansion of 0 in lambda1 11.857 * [taylor]: Taking taylor expansion of 0 in lambda2 11.857 * [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 11.857 * [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 lambda2 11.858 * [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 11.858 * [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 11.858 * [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 phi1 11.859 * [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 phi1 11.859 * [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 phi2 11.860 * [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 11.860 * [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 11.861 * [taylor]: Taking taylor expansion of 0 in phi2 11.861 * [taylor]: Taking taylor expansion of 0 in lambda1 11.861 * [taylor]: Taking taylor expansion of 0 in lambda2 11.861 * [taylor]: Taking taylor expansion of 0 in lambda1 11.861 * [taylor]: Taking taylor expansion of 0 in lambda2 11.861 * [taylor]: Taking taylor expansion of 0 in lambda2 11.861 * [taylor]: Taking taylor expansion of 0 in phi2 11.861 * [taylor]: Taking taylor expansion of 0 in lambda1 11.861 * [taylor]: Taking taylor expansion of 0 in lambda2 11.861 * [taylor]: Taking taylor expansion of 0 in lambda1 11.861 * [taylor]: Taking taylor expansion of 0 in lambda2 11.862 * [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 11.862 * [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 11.863 * [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 11.863 * [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 11.863 * [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 11.864 * [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 phi1 11.864 * [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 phi2 11.864 * [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 11.865 * [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 lambda2 11.866 * [taylor]: Taking taylor expansion of 0 in phi2 11.866 * [taylor]: Taking taylor expansion of 0 in lambda1 11.866 * [taylor]: Taking taylor expansion of 0 in lambda2 11.866 * [taylor]: Taking taylor expansion of 0 in lambda1 11.866 * [taylor]: Taking taylor expansion of 0 in lambda2 11.866 * [taylor]: Taking taylor expansion of 0 in lambda2 11.866 * [taylor]: Taking taylor expansion of 0 in phi2 11.866 * [taylor]: Taking taylor expansion of 0 in lambda1 11.866 * [taylor]: Taking taylor expansion of 0 in lambda2 11.866 * [taylor]: Taking taylor expansion of 0 in lambda1 11.866 * [taylor]: Taking taylor expansion of 0 in lambda2 11.866 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 11.867 * [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 11.867 * [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 11.867 * [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 11.868 * [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 11.868 * [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 11.868 * [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 11.868 * [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 11.869 * [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 11.869 * [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 11.869 * [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 11.869 * [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 11.870 * [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 11.870 * [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 11.871 * [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 11.871 * [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 11.871 * [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 11.871 * [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 11.873 * [taylor]: Taking taylor expansion of 0 in phi2 11.873 * [taylor]: Taking taylor expansion of 0 in lambda1 11.873 * [taylor]: Taking taylor expansion of 0 in lambda2 11.873 * [taylor]: Taking taylor expansion of 0 in lambda1 11.873 * [taylor]: Taking taylor expansion of 0 in lambda2 11.874 * [taylor]: Taking taylor expansion of 0 in lambda2 11.874 * [taylor]: Taking taylor expansion of 0 in phi2 11.874 * [taylor]: Taking taylor expansion of 0 in lambda1 11.874 * [taylor]: Taking taylor expansion of 0 in lambda2 11.874 * [taylor]: Taking taylor expansion of 0 in lambda1 11.874 * [taylor]: Taking taylor expansion of 0 in lambda2 11.875 * [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 11.875 * [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 11.875 * [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 11.876 * [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 11.876 * [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 11.880 * [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 11.880 * [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 11.881 * [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 11.881 * [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 11.881 * [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 11.881 * [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 11.882 * [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 11.882 * [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 11.883 * [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 11.883 * [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 11.884 * [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 11.884 * [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 11.885 * [taylor]: Taking taylor expansion of 0 in phi2 11.885 * [taylor]: Taking taylor expansion of 0 in lambda1 11.885 * [taylor]: Taking taylor expansion of 0 in lambda2 11.886 * [taylor]: Taking taylor expansion of 0 in lambda1 11.886 * [taylor]: Taking taylor expansion of 0 in lambda2 11.886 * [taylor]: Taking taylor expansion of 0 in lambda2 11.887 * [taylor]: Taking taylor expansion of 0 in phi2 11.887 * [taylor]: Taking taylor expansion of 0 in lambda1 11.887 * [taylor]: Taking taylor expansion of 0 in lambda2 11.887 * [taylor]: Taking taylor expansion of 0 in lambda1 11.887 * [taylor]: Taking taylor expansion of 0 in lambda2 11.888 * [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 11.888 * [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 11.888 * [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 11.889 * [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 11.889 * [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 11.890 * [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 11.890 * [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 11.891 * [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 11.891 * [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 11.891 * [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 11.891 * [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 11.892 * [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 11.892 * [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 11.893 * [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 11.893 * [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 11.894 * [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 11.894 * [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 11.896 * [taylor]: Taking taylor expansion of 0 in phi2 11.896 * [taylor]: Taking taylor expansion of 0 in lambda1 11.896 * [taylor]: Taking taylor expansion of 0 in lambda2 11.896 * [taylor]: Taking taylor expansion of 0 in lambda1 11.896 * [taylor]: Taking taylor expansion of 0 in lambda2 11.897 * [taylor]: Taking taylor expansion of 0 in lambda2 11.898 * [taylor]: Taking taylor expansion of 0 in phi2 11.898 * [taylor]: Taking taylor expansion of 0 in lambda1 11.898 * [taylor]: Taking taylor expansion of 0 in lambda2 11.898 * [taylor]: Taking taylor expansion of 0 in lambda1 11.898 * [taylor]: Taking taylor expansion of 0 in lambda2 11.898 * * * [progress]: simplifying candidates 11.899 * [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)))))) 11.905 * * [simplify]: iteration 0 : 195 enodes (cost 1202 ) 11.908 * * [simplify]: iteration 1 : 458 enodes (cost 1048 ) 11.913 * * [simplify]: iteration 2 : 889 enodes (cost 1048 ) 11.923 * * [simplify]: iteration 3 : 1698 enodes (cost 1048 ) 11.953 * * [simplify]: iteration 4 : 5002 enodes (cost 1048 ) 11.957 * [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))))))) 11.958 * * * [progress]: adding candidates to table 12.091 * [progress]: [Phase 3 of 3] Extracting. 12.091 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 12.110 * * * [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) 12.110 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # #) 12.280 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 12.345 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # #) 12.534 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 12.599 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # #) 12.790 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # #) 13.000 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 13.195 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 13.372 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 13.543 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 13.713 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 13.883 * * * [regime]: Found split indices: #